{"id":6884,"date":"2018-09-23T11:17:51","date_gmt":"2018-09-23T14:17:51","guid":{"rendered":"https:\/\/www.antonioguilherme.web.br.com\/blog\/?page_id=6884"},"modified":"2023-04-18T16:32:37","modified_gmt":"2023-04-18T19:32:37","slug":"condutividade-termica","status":"publish","type":"page","link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-termicas\/condutividade-termica\/","title":{"rendered":"Condutividade T\u00e9rmica"},"content":{"rendered":"\r\n<p style=\"text-align: right;\">&#8220;<strong><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Se voc\u00ea n\u00e3o suporta o calor, saia da cozinha&#8221;<\/span><\/strong><\/p>\r\n<p style=\"text-align: right;\"><em><span style=\"font-family: verdana, geneva, sans-serif; font-size: 14pt;\">Harry Truman<\/span><\/em><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A condutividade t\u00e9rmica consiste na propriedade dos materiais s\u00f3lidos em conduzir calor e se encontra intimamente relacionada com a condutividade el\u00e9trica.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O fluxo de calor, ocasionado por gradientes de temperatura nos materiais, ocorre de tr\u00eas maneiras; <strong>Condu\u00e7\u00e3o, Convec\u00e7\u00e3o e Radia\u00e7\u00e3o<\/strong>. A forma predominante de transfer\u00eancia de calor depende do sistema e das diferen\u00e7as (gradiente) de temperatura.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">A <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Condu%C3%A7%C3%A3o_t%C3%A9rmica\" target=\"_blank\" rel=\"noopener\">condu\u00e7\u00e3o<\/a> consiste na forma de transfer\u00eancia de calor no interior dos materiais s\u00f3lidos, e ocorre atrav\u00e9s da transmiss\u00e3o de energia entre \u00e1tomos e mol\u00e9culas a partir dos pontos mais quentes para os mais frios.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"> A lei de <a href=\"https:\/\/en.wikipedia.org\/wiki\/Thermal_conduction\" target=\"_blank\" rel=\"noopener\">Fourier<\/a> descreve seu comportamento de acordo com a Equa\u00e7\u00e3o 1.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\">\r\n<figure id=\"attachment_22898\" aria-describedby=\"caption-attachment-22898\" style=\"width: 213px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor.png\"><img decoding=\"async\" class=\"wp-image-22898 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor.png\" alt=\"\" width=\"213\" height=\"49\" \/><\/a><figcaption id=\"caption-attachment-22898\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 1. Equa\u00e7\u00e3o de Fourier de transfer\u00eancia de calor<\/figcaption><\/figure>\r\n<\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">q \u00e9 o fluxo de calor em fun\u00e7\u00e3o do tempo por unidade de \u00e1rea normal ao fluxo de calor [W\/m<sup>2<\/sup>]<sup>;<\/sup><\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">k \u00e9 a condutividade t\u00e9rmica do material [W\/(m<sup>2<\/sup>.K)];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u25bdT \u00e9 o gradiente da temperatura [K\/m ou C\/m];<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<figure id=\"attachment_22889\" aria-describedby=\"caption-attachment-22889\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_3_1.png\"><img decoding=\"async\" class=\"wp-image-22889\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_3_1.png\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_3_1.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_3_1-300x225.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_3_1-768x576.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><figcaption id=\"caption-attachment-22889\" class=\"wp-caption-text\">Figura 1. Condu\u00e7\u00e3o de calor unidirecional<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Figura 1 mostra a condu\u00e7\u00e3o de calor unidirecional. Neste caso, a Equa\u00e7\u00e3o 1 transforma-se na Equa\u00e7\u00e3o 2.<\/span><\/p>\r\n<figure id=\"attachment_22892\" aria-describedby=\"caption-attachment-22892\" style=\"width: 449px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_uni.png\"><img decoding=\"async\" class=\"size-full wp-image-22892\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_uni.png\" alt=\"\" width=\"449\" height=\"87\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_uni.png 449w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/cond_calor_uni-300x58.png 300w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/a><figcaption id=\"caption-attachment-22892\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 2. Condu\u00e7\u00e3o de calor unidirecional<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">A <strong>Condutividade T\u00e9rmica<\/strong> representa a capacidade do material conduzir calor em regime permanente. Ela depende do tipo de material, sendo mais elevada para os metais e menor para l\u00edquidos e gases. <\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Contudo, existem exce\u00e7\u00f5es. <\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por exemplo, o Diamante natural tipo IIa (sem nitrog\u00eanio) apresenta condutividade t\u00e9rmica de 2 300 W\/m\/K na temperatura ambiente, e o Grafeno 5 000 W\/m\/K. Ambos s\u00e3o varia\u00e7\u00f5es cristalinas de carbono, que n\u00e3o pertence ao grupo de metais.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Figura 2 apresenta a distribui\u00e7\u00e3o dos valores de condutividade t\u00e9rmica dos diversos tipos de materiais. Observa-se que os metais apresentam os valores mais elevados de condutividade t\u00e9rmica e os materiais isolantes desgaseificados possuem os menores valores.<\/span><\/p>\r\n<figure id=\"attachment_22733\" aria-describedby=\"caption-attachment-22733\" style=\"width: 800px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/condutiv_term_1.png\"><img decoding=\"async\" class=\"wp-image-22733 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/condutiv_term_1.png\" alt=\"\" width=\"800\" height=\"600\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/condutiv_term_1.png 800w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/condutiv_term_1-300x225.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/condutiv_term_1-768x576.png 768w\" sizes=\"(max-width: 800px) 100vw, 800px\" \/><\/a><figcaption id=\"caption-attachment-22733\" class=\"wp-caption-text\">Figura 2. Condutividade T\u00e9rmica dos Materiais<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Em 1853, alguns anos ap\u00f3s a descoberta da Lei de Ohm, mas antes da Teoria de Drude sobre a condutividade el\u00e9trica, <a href=\"https:\/\/pt.wikipedia.org\/wiki\/Lei_de_Wiedemann%E2%80%93Franz\" target=\"_blank\" rel=\"noopener\">Gustav Wiedemann e Rudolph Franz<\/a> descobriram empiricamente que as condutividades t\u00e9rmica e el\u00e9trica se encontram relacionadas da seguinte maneira:<\/span><\/p>\r\n<figure id=\"attachment_22773\" aria-describedby=\"caption-attachment-22773\" style=\"width: 175px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/lei_wiedenann.png\"><img decoding=\"async\" class=\"wp-image-22773 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/10\/lei_wiedenann.png\" alt=\"\" width=\"175\" height=\"78\" \/><\/a><figcaption id=\"caption-attachment-22773\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 3. Lei de Wiedemann-Franz<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<ul>\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03ba \u00e9 a condutividade t\u00e9rmica [W\/m\/K];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03c3 \u00e9 a condutividade el\u00e9trica [S\/m]<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">L \u00e9 a constante de Lorenz [2,443 004 509 073 67 x 10<sup>-8<\/sup> W.\u03a9\/K<sup>2<\/sup>]<span id='easy-footnote-1-6884' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-termicas\/condutividade-termica\/#easy-footnote-bottom-1-6884\" title=\" valor obtido a partir da Equa\u00e7\u00e3o 8. \"><sup>1<\/sup><\/a><\/span>;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">T \u00e9 a temperatura[K].<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Somente em 1872, 19 anos ap\u00f3s a descoberta de Wiedermann e Franz e antes da Teoria de Drude, Ludvig Lorenz calculou <\/span><span style=\"font-family: verdana, geneva, sans-serif;\">o valor da constante, que passou a levar seu nome.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A teoria para explicar a rela\u00e7\u00e3o entre condutividades el\u00e9trica e t\u00e9rmica se baseia na Teoria Cin\u00e9tica dos Gases e na <a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-eletricas\/resistividade-eletrica\/\">Teoria de Drude<\/a>.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">De acordo com a Teoria Cin\u00e9tica dos Gases, a Equa\u00e7\u00e3o 4 determina a Condutividade T\u00e9rmica.<\/span><\/p>\r\n<figure id=\"attachment_22785\" aria-describedby=\"caption-attachment-22785\" style=\"width: 285px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/condu_termica_1.png\"><img decoding=\"async\" class=\"wp-image-22785 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/condu_termica_1.png\" alt=\"\" width=\"285\" height=\"85\" \/><\/a><figcaption id=\"caption-attachment-22785\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 4. Condutividade T\u00e9rmica dos Gases<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<ul>\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03ba \u00e9 a condutividade t\u00e9rmica<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">v \u00e9 a velocidade m\u00e9dia das mol\u00e9culas do g\u00e1s;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03c4 \u00e9 o tempo m\u00e9dio entre colis\u00f5es das mol\u00e9culas;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">c<sub>v<\/sub> \u00e9 o calor espec\u00edfico a volume constante.<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Drude aplicou a Teoria Cin\u00e9tica dos Gases aos El\u00e9trons de Val\u00eancia e dividindo a Equa\u00e7\u00e3o 4 pela Equa\u00e7\u00e3o 13 da p\u00e1gina <a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-eletricas\/resistividade-eletrica\/\">Condutividade El\u00e9trica<\/a>, obteve a seguinte express\u00e3o:<\/span><\/p>\r\n<figure id=\"attachment_22786\" aria-describedby=\"caption-attachment-22786\" style=\"width: 324px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica.png\"><img decoding=\"async\" class=\"wp-image-22786 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica.png\" alt=\"\" width=\"324\" height=\"94\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica.png 324w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica-300x87.png 300w\" sizes=\"(max-width: 324px) 100vw, 324px\" \/><\/a><figcaption id=\"caption-attachment-22786\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 5. Rela\u00e7\u00e3o entre as condutividades t\u00e9rmica e el\u00e9trica<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Considerando as express\u00f5es abaixo oriundas da Teoria Cin\u00e9tica dos Gases.<\/span><\/p>\r\n<figure id=\"attachment_22788\" aria-describedby=\"caption-attachment-22788\" style=\"width: 348px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica_1.png\"><img decoding=\"async\" class=\"size-full wp-image-22788\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica_1.png\" alt=\"\" width=\"348\" height=\"170\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica_1.png 348w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/termicaeletrica_1-300x147.png 300w\" sizes=\"(max-width: 348px) 100vw, 348px\" \/><\/a><figcaption id=\"caption-attachment-22788\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 6.<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Drude aplicou a Equa\u00e7\u00e3o 6 na Equa\u00e7\u00e3o 5 e obteve o seguinte resultado para a Constante de Lorenz:<\/span><\/p>\r\n<figure id=\"attachment_22791\" aria-describedby=\"caption-attachment-22791\" style=\"width: 407px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_1.png\"><img decoding=\"async\" class=\"wp-image-22791 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_1.png\" alt=\"\" width=\"407\" height=\"107\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_1.png 407w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_1-300x79.png 300w\" sizes=\"(max-width: 407px) 100vw, 407px\" \/><\/a><figcaption id=\"caption-attachment-22791\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 7. Constante de Lorenz deduzida por Drude<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<ul>\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">kb \u00e9 a constante de Boltzmann;<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">e \u00e9 a carga do El\u00e9tron.<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Este valor, obtido muito antes da Mec\u00e2nica Qu\u00e2ntica apresenta um pequeno erro, que foi posteriormente corrigido da seguinte maneira:<\/span><\/p>\r\n<figure id=\"attachment_22792\" aria-describedby=\"caption-attachment-22792\" style=\"width: 425px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_2.png\"><img decoding=\"async\" class=\"wp-image-22792 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_2.png\" alt=\"\" width=\"425\" height=\"107\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_2.png 425w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/const_Lorenz_2-300x76.png 300w\" sizes=\"(max-width: 425px) 100vw, 425px\" \/><\/a><figcaption id=\"caption-attachment-22792\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 8. Constante de Lorenz Corrigida<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Na pr\u00e1tica, a condutividade t\u00e9rmica varia com a temperatura e com a orienta\u00e7\u00e3o de materiais anisotr\u00f3picos. De uma maneira geral, ela diminui com o aumento da temperatura para os metais e aumenta nos gases. Empiricamente, a condutividade t\u00e9rmica dos materiais varia com a temperatura da seguinte maneira [Yaws]:<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\">\r\n<figure id=\"attachment_6896\" aria-describedby=\"caption-attachment-6896\" style=\"width: 332px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/k_vs_T.png\"><img decoding=\"async\" class=\"wp-image-6896 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/k_vs_T.png\" alt=\"\" width=\"332\" height=\"46\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/k_vs_T.png 332w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/k_vs_T-300x42.png 300w\" sizes=\"(max-width: 332px) 100vw, 332px\" \/><\/a><figcaption id=\"caption-attachment-6896\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 9. Condutividade t\u00e9rmica em fun\u00e7\u00e3o da temperatura<\/figcaption><\/figure>\r\n<\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Tabela 1. Condutividade T\u00e9rmica &#8211; Inorg\u00e2nicos<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<p><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: verdana, geneva, sans-serif;\">\n<table id=\"tablepress-51\" class=\"tablepress tablepress-id-51\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">Nome<\/th><th class=\"column-2\">F\u00f3rmula<\/th><th class=\"column-3\">A<\/th><th class=\"column-4\">B<\/th><th class=\"column-5\">C<\/th><th class=\"column-6\">k @ 25 C<br \/>\n(W\/(m.K)<\/th><th class=\"column-7\">Tmin <br \/>\n(K)<\/th><th class=\"column-8\">Tmax<br \/>\n(K)<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">Prata<\/td><td class=\"column-2\">Ag<\/td><td class=\"column-3\">438,22<\/td><td class=\"column-4\">-2,30e-2<\/td><td class=\"column-5\">-354e-5<\/td><td class=\"column-6\">428,23<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">1200<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">Alum\u00ednio<\/td><td class=\"column-2\">Al<\/td><td class=\"column-3\">228,21<\/td><td class=\"column-4\">5,80e-2<\/td><td class=\"column-5\">-8,68e-5<\/td><td class=\"column-6\">237,79<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">934<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">Ouro<\/td><td class=\"column-2\">Au<\/td><td class=\"column-3\">335,45<\/td><td class=\"column-4\">-5,83e-2<\/td><td class=\"column-5\">-7,48e-6<\/td><td class=\"column-6\">317,42<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">1300<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Cobre<\/td><td class=\"column-2\">Cobre<\/td><td class=\"column-3\">426,30<\/td><td class=\"column-4\">-8,39e-2<\/td><td class=\"column-5\">9,38e-6<\/td><td class=\"column-6\">402,11<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">1300<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">Ferro<\/td><td class=\"column-2\">Fe<\/td><td class=\"column-3\">117,32<\/td><td class=\"column-4\">-1,38e-1<\/td><td class=\"column-5\">5,42e-5<\/td><td class=\"column-6\">81,11<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">1000<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">Sal<\/td><td class=\"column-2\">NaCl<\/td><td class=\"column-3\">51,61<\/td><td class=\"column-4\">-2,96e-1<\/td><td class=\"column-5\">4,71e-4<\/td><td class=\"column-6\">5,157<\/td><td class=\"column-7\">80<\/td><td class=\"column-8\">380<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">Sil\u00edcio<\/td><td class=\"column-2\">Si<\/td><td class=\"column-3\">436,78<\/td><td class=\"column-4\">-1,29<\/td><td class=\"column-5\">1,11e-3<\/td><td class=\"column-6\">152,24<\/td><td class=\"column-7\">250<\/td><td class=\"column-8\">600<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">\u00c1gua<\/td><td class=\"column-2\">H20<\/td><td class=\"column-3\">-0,28<\/td><td class=\"column-4\">4,61e-3<\/td><td class=\"column-5\">-5,54e-6<\/td><td class=\"column-6\">0,607<\/td><td class=\"column-7\">273<\/td><td class=\"column-8\">633<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">Chumbo<\/td><td class=\"column-2\">Pb<\/td><td class=\"column-3\">39,33<\/td><td class=\"column-4\">-1,35e-2<\/td><td class=\"column-5\">5,15e-7<\/td><td class=\"column-6\">35,36<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">600<\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">Estanho<\/td><td class=\"column-2\">Sn<\/td><td class=\"column-3\">92,31<\/td><td class=\"column-4\">-1,15e-1<\/td><td class=\"column-5\">1,0e-4<\/td><td class=\"column-6\">66,78<\/td><td class=\"column-7\">200<\/td><td class=\"column-8\">600<\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">Kanthal A-1<\/td><td class=\"column-2\">FeCrAl<\/td><td class=\"column-3\">10,76<\/td><td class=\"column-4\">1,15e-2<\/td><td class=\"column-5\">3,43e-6<\/td><td class=\"column-6\">11<\/td><td class=\"column-7\"><\/td><td class=\"column-8\"><\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-1\">Constantan<\/td><td class=\"column-2\">55%Cu 45%Ni<\/td><td class=\"column-3\"><\/td><td class=\"column-4\"><\/td><td class=\"column-5\"><\/td><td class=\"column-6\">49<\/td><td class=\"column-7\"><\/td><td class=\"column-8\"><\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td class=\"column-1\">Tungst\u00eanio<\/td><td class=\"column-2\">W<\/td><td class=\"column-3\">192,98<\/td><td class=\"column-4\">-7,85e-2<\/td><td class=\"column-5\">1,44e-5<\/td><td class=\"column-6\">170,84<\/td><td class=\"column-7\">250<\/td><td class=\"column-8\">3400<\/td>\n<\/tr>\n<\/tbody>\n<tfoot>\n<tr class=\"row-15\">\n\t<th class=\"column-1\">Fonte: Yaws<\/th><td class=\"column-2\"><\/td><td class=\"column-3\"><\/td><td class=\"column-4\"><\/td><td class=\"column-5\"><\/td><td class=\"column-6\"><\/td><td class=\"column-7\"><\/td><td class=\"column-8\"><\/td>\n<\/tr>\n<\/tfoot>\n<\/table>\n<!-- #tablepress-51 from cache --><\/span><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A partir da Equa\u00e7\u00e3o 3, pode-se calcular a Rela\u00e7\u00e3o de Lorenz da seguinte maneira:<\/span><\/p>\n<figure id=\"attachment_40379\" aria-describedby=\"caption-attachment-40379\" style=\"width: 168px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/lorenz_2.png\"><img decoding=\"async\" class=\"wp-image-40379 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/lorenz_2.png\" alt=\"\" width=\"168\" height=\"78\" \/><\/a><figcaption id=\"caption-attachment-40379\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 10. Rela\u00e7\u00e3o de Lorenz<\/figcaption><\/figure>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Utiliza-se a denomina\u00e7\u00e3o de Rela\u00e7\u00e3o de Lorenz Experimental para diferenciar da Constante de Lorenz porque a<\/span><span style=\"font-family: verdana, geneva, sans-serif;\"> constante possui origem te\u00f3rica e a Rela\u00e7\u00e3o se origina de dados medidos.<\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Tabela 2 apresenta a Rela\u00e7\u00e3o de Lorenz para alguns materiais calculada a partir de resistividade el\u00e9trica e condutividade t\u00e9rmica medidas.\u00a0<\/span><\/p>\n<div class=\"mceTemp\">\u00a0<\/div>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Tabela 2. Rela\u00e7\u00e3o de Lorenz Experimental<\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: verdana, geneva, sans-serif;\">\n<table id=\"tablepress-55\" class=\"tablepress tablepress-id-55\" aria-describedby=\"tablepress-55-description\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">Material<\/th><th class=\"column-2\">Resistividade El\u00e9trica<br \/>\n[E-8. Ohms.m] @ 20C<\/th><th class=\"column-3\">Condutividade T\u00e9rmica<br \/>\n[W\/(m.K)] @ 25 C<\/th><th class=\"column-4\">Rela\u00e7\u00e3o de Lorenz<br \/>\n[E-8. W.Ohm\/K^2]<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">Alum\u00ednio<\/td><td class=\"column-2\">2,65<br \/>\n<\/td><td class=\"column-3\">210<\/td><td class=\"column-4\">1,90<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">Chumbo<\/td><td class=\"column-2\">20,8<\/td><td class=\"column-3\">35,36<\/td><td class=\"column-4\">2,51<br \/>\n<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">Cobre<\/td><td class=\"column-2\">1,678<\/td><td class=\"column-3\">402,11<br \/>\n<\/td><td class=\"column-4\">2,303<\/td>\n<\/tr>\n<tr class=\"row-5\">\n\t<td class=\"column-1\">Constantan<\/td><td class=\"column-2\">45,38<br \/>\n<\/td><td class=\"column-3\">49<\/td><td class=\"column-4\">7,59<\/td>\n<\/tr>\n<tr class=\"row-6\">\n\t<td class=\"column-1\">Estanho<\/td><td class=\"column-2\">11,5 <\/td><td class=\"column-3\">66,78<\/td><td class=\"column-4\">2,62<\/td>\n<\/tr>\n<tr class=\"row-7\">\n\t<td class=\"column-1\">Ferro<\/td><td class=\"column-2\">9,61<\/td><td class=\"column-3\">81,11<\/td><td class=\"column-4\">2,66<\/td>\n<\/tr>\n<tr class=\"row-8\">\n\t<td class=\"column-1\">Kanthal A-1<\/td><td class=\"column-2\">145<\/td><td class=\"column-3\">11<\/td><td class=\"column-4\">5,4<\/td>\n<\/tr>\n<tr class=\"row-9\">\n\t<td class=\"column-1\">Ouro<\/td><td class=\"column-2\">2,214<\/td><td class=\"column-3\">317,42<\/td><td class=\"column-4\">2,399<\/td>\n<\/tr>\n<tr class=\"row-10\">\n\t<td class=\"column-1\">Prata<\/td><td class=\"column-2\">1,587<br \/>\n<\/td><td class=\"column-3\">428,23<\/td><td class=\"column-4\">2,319<\/td>\n<\/tr>\n<tr class=\"row-11\">\n\t<td class=\"column-1\">Sal<\/td><td class=\"column-2\">4,77<\/td><td class=\"column-3\">5,157<\/td><td class=\"column-4\">0,08<\/td>\n<\/tr>\n<tr class=\"row-12\">\n\t<td class=\"column-1\">Sil\u00edcio<\/td><td class=\"column-2\">10000<\/td><td class=\"column-3\">152,24<\/td><td class=\"column-4\">5196<\/td>\n<\/tr>\n<tr class=\"row-13\">\n\t<td class=\"column-1\">Tungst\u00eanio<\/td><td class=\"column-2\">5,28<br \/>\n<\/td><td class=\"column-3\">170,84<\/td><td class=\"column-4\">3,08<\/td>\n<\/tr>\n<tr class=\"row-14\">\n\t<td class=\"column-1\">\u00c1gua<\/td><td class=\"column-2\">1,818 E5 [Ohm.m]<\/td><td class=\"column-3\">0,607<\/td><td class=\"column-4\">377<\/td>\n<\/tr>\n<\/tbody>\n<\/table>\n<span id=\"tablepress-55-description\" class=\"tablepress-table-description tablepress-table-description-id-55\">Fonte: Yaws Condutividade T\u00e9rmica, CRC Handbook resistividade el\u00e9trica<\/span>\n<!-- #tablepress-55 from cache --><\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><\/p>\n\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\">&nbsp;<\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A an\u00e1lise da Tabela 2 mostra que a Rela\u00e7\u00e3o de Lorenz se aproxima do valor te\u00f3rico apenas para os elementos met\u00e1licos. <span id='easy-footnote-2-6884' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-termicas\/condutividade-termica\/#easy-footnote-bottom-2-6884\" title=\" Kittel (pg. 157) apresenta uma tabela semelhante apenas com elementos qu\u00edmicos met\u00e1licos\"><sup>2<\/sup><\/a><\/span><\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O Sal, o Sil\u00edcio e a \u00c1gua apresentam valores extremamente discrepantes porque n\u00e3o s\u00e3o metais.\u00a0<\/span><span style=\"font-family: verdana, geneva, sans-serif;\">O Sal \u00e9 um composto qu\u00edmico, o Sil\u00edcio um semicondutor e a \u00e1gua um isolante el\u00e9trico.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Adicionalmente, as ligas met\u00e1licas<span id='easy-footnote-3-6884' class='easy-footnote-margin-adjust'><\/span><span class='easy-footnote'><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/materiais-eletricos-e-magneticos\/propriedades-termicas\/condutividade-termica\/#easy-footnote-bottom-3-6884\" title=\" Kanthal-A-1 e Constantan\"><sup>3<\/sup><\/a><\/span> exibiram valores da mesma ordem de grandeza do valor te\u00f3rico, mas tr\u00eas e duas vezes maiores respectivamente.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Finalmente, os elementos met\u00e1licos Alum\u00ednio e Tungst\u00eanio apresentaram valores 22% menor e 26% maior respectivamente do que o valor te\u00f3rico.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Isto indica que os modelos te\u00f3ricos da condu\u00e7\u00e3o t\u00e9rmica e resistividade el\u00e9trica ainda requerem aperfei\u00e7oamentos.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Contudo, pode-se utilizar os valores das Rela\u00e7\u00f5es de Lorenz para obter as rela\u00e7\u00f5es entre condutividade t\u00e9rmica e resistividade el\u00e9trica de um grupo importante de condutores el\u00e9tricos.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A an\u00e1lise da Equa\u00e7\u00e3o 9 mostra que a condutividade t\u00e9rmica tende para A quando a temperatura tende para o zero absoluto. Contudo, todas as express\u00f5es emp\u00edricas possuem validade apenas nos intervalos de temperatura apresentados nas tabelas.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Por outro lado, para l\u00edquidos org\u00e2nicos, a condutividade t\u00e9rmica varia da seguinte maneira [Yaws]:<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\">\r\n<figure id=\"attachment_6921\" aria-describedby=\"caption-attachment-6921\" style=\"width: 449px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/cond_term_org.png\"><img decoding=\"async\" class=\"wp-image-6921 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/cond_term_org.png\" alt=\"\" width=\"449\" height=\"104\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/cond_term_org.png 449w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/cond_term_org-300x69.png 300w\" sizes=\"(max-width: 449px) 100vw, 449px\" \/><\/a><figcaption id=\"caption-attachment-6921\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 11. Condutividade t\u00e9rmica de l\u00edquidos org\u00e2nicos<\/figcaption><\/figure>\r\n<\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Tabela 2. Condutividade T\u00e9rmica &#8211; Org\u00e2nicos<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<p><\/span><\/p>\n<p style=\"text-align: center;\"><span style=\"font-family: verdana, geneva, sans-serif;\">\n<table id=\"tablepress-52\" class=\"tablepress tablepress-id-52\">\n<thead>\n<tr class=\"row-1\">\n\t<th class=\"column-1\">F\u00f3rmula<\/th><th class=\"column-2\">Nome<\/th><th class=\"column-3\">A<\/th><th class=\"column-4\">B<\/th><th class=\"column-5\">C<\/th><th class=\"column-6\">k @ 25 C<\/th><th class=\"column-7\">Tmin<\/th><th class=\"column-8\">Tmax<\/th>\n<\/tr>\n<\/thead>\n<tbody class=\"row-striping row-hover\">\n<tr class=\"row-2\">\n\t<td class=\"column-1\">CH4<\/td><td class=\"column-2\">Metano<\/td><td class=\"column-3\">-1,0976<\/td><td class=\"column-4\">0,5387<\/td><td class=\"column-5\">190,58<\/td><td class=\"column-6\"><\/td><td class=\"column-7\">91<\/td><td class=\"column-8\">181<\/td>\n<\/tr>\n<tr class=\"row-3\">\n\t<td class=\"column-1\">C2H60<\/td><td class=\"column-2\">Etanol<\/td><td class=\"column-3\">-1,3172<\/td><td class=\"column-4\">0,6987<\/td><td class=\"column-5\">516,25<\/td><td class=\"column-6\">0,1694<\/td><td class=\"column-7\">159<\/td><td class=\"column-8\">490<\/td>\n<\/tr>\n<tr class=\"row-4\">\n\t<td class=\"column-1\">C5H402<\/td><td class=\"column-2\">Furfural<\/td><td class=\"column-3\">-1,365<\/td><td class=\"column-4\">0,7132<\/td><td class=\"column-5\">657<\/td><td class=\"column-6\">0,1718<\/td><td class=\"column-7\">237<\/td><td class=\"column-8\">624<\/td>\n<\/tr>\n<\/tbody>\n<tfoot>\n<tr class=\"row-5\">\n\t<th class=\"column-1\">Fonte: Yaws<\/th><td class=\"column-2\"><\/td><td class=\"column-3\"><\/td><td class=\"column-4\"><\/td><td class=\"column-5\"><\/td><td class=\"column-6\"><\/td><td class=\"column-7\"><\/td><td class=\"column-8\"><\/td>\n<\/tr>\n<\/tfoot>\n<\/table>\n<!-- #tablepress-52 from cache --><\/span><\/p>\n<p><span style=\"font-family: verdana, geneva, sans-serif;\"><\/p>\n\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Nem todos os materiais s\u00e3o isotr\u00f3picos e, no caso de materiais anisotr\u00f3picos, a condu\u00e7\u00e3o de calor ocorre de acordo com a Equa\u00e7\u00e3o 11.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure id=\"attachment_40140\" aria-describedby=\"caption-attachment-40140\" style=\"width: 675px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/cond_term_tensor1.png\"><img decoding=\"async\" class=\"size-full wp-image-40140\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/cond_term_tensor1.png\" alt=\"\" width=\"675\" height=\"333\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/cond_term_tensor1.png 675w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/cond_term_tensor1-300x148.png 300w\" sizes=\"(max-width: 675px) 100vw, 675px\" \/><\/a><figcaption id=\"caption-attachment-40140\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 11.<\/figcaption><\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Onde a condutividade t\u00e9rmica se torna um tensor polar sim\u00e9trico de segunda ordem, k<sub>ij<\/sub>=k<sub>ji<\/sub>.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Conforme mostra a Figura 3, pode-se interpretar o fluxo de calor no processo de condu\u00e7\u00e3o t\u00e9rmica como uma fonte de corrente, a temperatura como tens\u00e3o el\u00e9trica, e a resist\u00eancia t\u00e9rmica dada pela Equa\u00e7\u00e3o 12.<\/span><\/p>\r\n<figure id=\"attachment_40144\" aria-describedby=\"caption-attachment-40144\" style=\"width: 1000px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1.png\"><img decoding=\"async\" class=\"wp-image-40144\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1.png\" alt=\"\" width=\"1000\" height=\"800\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1.png 1920w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-300x240.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-1024x819.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-768x614.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-1536x1228.png 1536w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-2048x1637.png 2048w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-1200x959.png 1200w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/resistencia_termica1-1980x1583.png 1980w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/a><figcaption id=\"caption-attachment-40144\" class=\"wp-caption-text\">Figura 3. Resist\u00eancia T\u00e9rmica<\/figcaption><\/figure>\r\n<figure id=\"attachment_22801\" aria-describedby=\"caption-attachment-22801\" style=\"width: 222px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/resist_termica.png\"><img decoding=\"async\" class=\"wp-image-22801 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/resist_termica.png\" alt=\"\" width=\"222\" height=\"87\" \/><\/a><figcaption id=\"caption-attachment-22801\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 12. Resist\u00eancia T\u00e9rmica<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">L \u00e9 o comprimento do material na dire\u00e7\u00e3o do fluxo de calor [m];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">A \u00e9 a \u00e1rea do material normal ao fluxo de calor [m<sup>2<\/sup>];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">k \u00e9 a condutividade t\u00e9rmica do material [W\/m\/K];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">R<sub>th<\/sub> \u00e9 a resist\u00eancia t\u00e9rmica[K\/W].<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Por isso, a teoria de circuitos el\u00e9tricos se aplica a resist\u00eancias t\u00e9rmicas. Diversas resist\u00eancias t\u00e9rmicas de um sistema podem ser agrupadas aplicando-se as mesmas regras de associa\u00e7\u00e3o de resist\u00eancias em s\u00e9rie e em paralelo.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 id='in\u00e9rcia-t\u00e9rmica'  id=\"boomdevs_1\" class=\"wp-block-heading\"><span style=\"font-family: verdana, geneva, sans-serif;\"><strong>In\u00e9rcia T\u00e9rmica<\/strong><\/span><\/h2>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">O aquecimento dos materiais n\u00e3o ocorre instantaneamente. A temperatura da \u00e1gua, quando colocada numa panela no fog\u00e3o, aumenta lentamente e o tempo gasto no aquecimento depende da quantidade de \u00e1gua na panela.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Devido \u00e0 similaridade dos sistemas t\u00e9rmicos com os sistemas el\u00e9tricos, pode-se simular este sistema t\u00e9rmico como um circuito RC, conforme a Figura 4. <\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\">\r\n<figure id=\"attachment_40146\" aria-describedby=\"caption-attachment-40146\" style=\"width: 1000px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica.png\"><img decoding=\"async\" class=\"wp-image-40146\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica.png\" alt=\"\" width=\"1000\" height=\"799\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica.png 5355w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-300x240.png 300w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-1024x818.png 1024w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-768x614.png 768w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-1536x1228.png 1536w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-2048x1637.png 2048w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-1200x959.png 1200w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/capacitancia_termica-1980x1583.png 1980w\" sizes=\"(max-width: 1000px) 100vw, 1000px\" \/><\/a><figcaption id=\"caption-attachment-40146\" class=\"wp-caption-text\">Figura 4. Circuito equivalente t\u00e9rmico<\/figcaption><\/figure>\r\n<\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n\r\n\r\n\r\n\r\n<\/span><\/p>\r\n<h3 id='imped\u00e2ncia-t\u00e9rmica'  id=\"boomdevs_2\" class=\"wp-block-heading\"><span style=\"font-family: verdana, geneva, sans-serif;\"><strong>Imped\u00e2ncia T\u00e9rmica<\/strong><\/span><\/h3>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">O conceito de Imped\u00e2ncia T\u00e9rmica se baseia na In\u00e9rcia T\u00e9rmica. <\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Figura 5 mostra este conceito. Quando se aplica um degrau de calor a um sistema t\u00e9rmico, a temperatura varia como a tens\u00e3o T1 da Figura 3 ap\u00f3s a aplica\u00e7\u00e3o de um degrau de corrente, conforme a Equa\u00e7\u00e3o 6.<\/span><\/p>\r\n<figure id=\"attachment_40136\" aria-describedby=\"caption-attachment-40136\" style=\"width: 342px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/imp_term2.png\"><img decoding=\"async\" class=\"wp-image-40136 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/imp_term2.png\" alt=\"\" width=\"342\" height=\"76\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/imp_term2.png 342w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/imp_term2-300x67.png 300w\" sizes=\"(max-width: 342px) 100vw, 342px\" \/><\/a><figcaption id=\"caption-attachment-40136\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 6. Temperatura em fun\u00e7\u00e3o do tempo<\/figcaption><\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\">\r\n<figure id=\"attachment_6941\" aria-describedby=\"caption-attachment-6941\" style=\"width: 461px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/droppedImage_16.jpg\"><img decoding=\"async\" class=\"wp-image-6941 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/droppedImage_16.jpg\" alt=\"\" width=\"461\" height=\"517\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/droppedImage_16.jpg 461w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2018\/09\/droppedImage_16-268x300.jpg 268w\" sizes=\"(max-width: 461px) 100vw, 461px\" \/><\/a><figcaption id=\"caption-attachment-6941\" class=\"wp-caption-text\">Figura 5. Imped\u00e2ncia T\u00e9rmica<\/figcaption><\/figure>\r\n<\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\r\n<figure class=\"aligncenter\"><span style=\"font-family: verdana, geneva, sans-serif;\">Define-se Imped\u00e2ncia T\u00e9rmica- Z<sub>th<\/sub>(t) como a varia\u00e7\u00e3o de temperatura dividida pela varia\u00e7\u00e3o de calor. Este conceito, diferente do conceito de imped\u00e2ncia el\u00e9trica, se torna fundamental para o dimensionamento de dissipadores de calor em sistemas din\u00e2micos durante eventos anormais, como curtos-circuitos e sobrecargas. <\/span><\/figure>\r\n<figure class=\"aligncenter\"><span style=\"font-family: verdana, geneva, sans-serif;\">Observa-se na Figura 5 que a imped\u00e2ncia t\u00e9rmica varia no tempo, o que difere da imped\u00e2ncia el\u00e9trica. A Equa\u00e7\u00e3o 7 apresenta a defini\u00e7\u00e3o de imped\u00e2ncia t\u00e9rmica.<\/span><\/figure>\r\n<figure id=\"attachment_22897\" aria-describedby=\"caption-attachment-22897\" style=\"width: 285px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/imp_termi.png\"><img decoding=\"async\" class=\"size-full wp-image-22897\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/11\/imp_termi.png\" alt=\"\" width=\"285\" height=\"99\" \/><\/a><figcaption id=\"caption-attachment-22897\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 7. Imped\u00e2ncia T\u00e9rmica<\/figcaption><\/figure>\r\n<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h3 id='difusividade-t\u00e9rmica'  id=\"boomdevs_3\" class=\"wp-block-heading\"><span style=\"font-family: verdana, geneva, sans-serif;\"><strong>Difusividade T\u00e9rmica<\/strong><\/span><\/h3>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">Define-se a <strong>Difusividade T\u00e9rmica<\/strong> como a <strong>Condutividade T\u00e9rmica<\/strong> dividida pela <strong>Massa Espec\u00edfica<\/strong> e pelo <strong>Calor Espec\u00edfico<\/strong> a press\u00e3o constante do material &#8211; Equa\u00e7\u00e3o 8. <\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">A Difus\u00e3o T\u00e9rmica, determinada pela express\u00e3o abaixo, se encontra relacionada com a constante de tempo t\u00e9rmica.<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<figure class=\"wp-block-image\">\r\n<figure id=\"attachment_40151\" aria-describedby=\"caption-attachment-40151\" style=\"width: 573px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/const_difu_termica.png\"><img decoding=\"async\" class=\"wp-image-40151 size-full\" src=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/const_difu_termica.png\" alt=\"\" width=\"573\" height=\"238\" srcset=\"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/const_difu_termica.png 573w, https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2021\/04\/const_difu_termica-300x125.png 300w\" sizes=\"(max-width: 573px) 100vw, 573px\" \/><\/a><figcaption id=\"caption-attachment-40151\" class=\"wp-caption-text\">Equa\u00e7\u00e3o 8. Difus\u00e3o T\u00e9rmica<\/figcaption><\/figure>\r\n<\/figure>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<p class=\"wp-block-paragraph\"><span style=\"font-family: verdana, geneva, sans-serif;\">Onde:<\/span><\/p>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ul class=\"wp-block-list\">\r\n<li style=\"list-style-type: none;\">\r\n<ul>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">a \u00e9 a difus\u00e3o t\u00e9rmica[m<sup>2<\/sup>\/s];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">k \u00e9 a condutividade t\u00e9rmica[W\/m\/K];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">c<sub>p<\/sub> \u00e9 o calor espec\u00edfico [W.s\/kg];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03c1 \u00e9 a densidade [kg\/m<sup>3<\/sup>];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u03c4 \u00e9 a constante de tempo de difus\u00e3o t\u00e9rmica[s];<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">L \u00e9 o comprimento do material no sentido do fluxo de calor[m].<\/span><\/li>\r\n<\/ul>\r\n<\/li>\r\n<\/ul>\r\n<p style=\"padding-left: 40px;\"><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<div class=\"wp-block-image\">\u00a0<\/div>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<h2 id='refer\u00eancias'  id=\"boomdevs_4\" class=\"wp-block-heading\"><span style=\"font-family: verdana, geneva, sans-serif;\">Refer\u00eancias<\/span><\/h2>\r\n<p><span style=\"font-family: verdana, geneva, sans-serif;\">\r\n\r\n<\/span><\/p>\r\n<ol class=\"wp-block-list\">\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">ASHCROFT, N.W., MERMIN, N.D.,\u00a0<strong>Solid State Physics<\/strong>, Harcourt, 1976.<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">\u00c7ENGEL, Y. A., <strong>Heat Transfer<\/strong>, McGraw-Hill, McGraw &#8211; Hill; 2003.<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">HAHN, D. W., OZISIK, M. N., <strong>Heat Conduction<\/strong>, 3 ed., Wiley, 2012.<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">KITTEL, C., <strong>Introduction to Solid State Physics<\/strong>, 8 Edi\u00e7\u00e3o, Wiley, 2005.<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">TRITT, T. M., <strong>Thermal Conductivity &#8211; Theory, Properties and Applications,<\/strong> Kluwer\/Plenum, 2004.<\/span><\/li>\r\n<li><span style=\"font-family: verdana, geneva, sans-serif;\">YAWS, C., <strong>Chemical Properties Handbook<\/strong>, McGraw-Hill,1999.<\/span><\/li>\r\n<\/ol>\r\n\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; 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-webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; 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tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; 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perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; 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columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; 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-webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; 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stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; 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inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; 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transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; 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shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; 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dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; 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-webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; 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ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; 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scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; 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-webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; 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perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; animation: initial; appearance: initial; aspect-ratio: initial; backdrop-filter: initial; backface-visibility: initial; background: initial; background-blend-mode: initial; baseline-shift: initial; block-size: initial; border-block: initial; border: initial; border-radius: initial; border-collapse: initial; border-end-end-radius: initial; border-end-start-radius: initial; border-inline: initial; border-start-end-radius: initial; border-start-start-radius: initial; inset: initial; box-shadow: initial; box-sizing: initial; break-after: initial; break-before: initial; break-inside: initial; buffered-rendering: initial; caption-side: initial; caret-color: initial; clear: initial; clip: initial; clip-path: initial; clip-rule: initial; color-interpolation: initial; color-interpolation-filters: initial; color-rendering: initial; color-scheme: initial; columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; 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columns: initial; column-fill: initial; gap: initial; column-rule: initial; column-span: initial; contain: initial; contain-intrinsic-size: initial; content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; mix-blend-mode: initial; object-fit: initial; object-position: initial; offset: initial; opacity: initial; order: initial; origin-trial-test-property: initial; orphans: initial; outline: initial; outline-offset: initial; overflow-anchor: initial; overflow-wrap: initial; overflow: initial; overscroll-behavior-block: initial; overscroll-behavior-inline: initial; overscroll-behavior: initial; padding-block: initial; padding: initial; padding-inline: initial; page: initial; page-orientation: initial; paint-order: initial; perspective: initial; perspective-origin: initial; pointer-events: initial; position: initial; quotes: initial; r: initial; resize: initial; ruby-position: initial; rx: initial; ry: initial; scroll-behavior: initial; scroll-margin-block: initial; scroll-margin: initial; scroll-margin-inline: initial; scroll-padding-block: initial; scroll-padding: initial; scroll-padding-inline: initial; scroll-snap-align: initial; scroll-snap-stop: initial; scroll-snap-type: initial; shape-image-threshold: initial; shape-margin: initial; shape-outside: initial; shape-rendering: initial; size: initial; speak: initial; stop-color: initial; stop-opacity: initial; stroke: initial; stroke-dasharray: initial; stroke-dashoffset: initial; stroke-linecap: initial; stroke-linejoin: initial; stroke-miterlimit: initial; stroke-opacity: initial; stroke-width: initial; tab-size: initial; table-layout: initial; text-align: initial; text-align-last: initial; text-anchor: initial; text-combine-upright: initial; text-decoration: initial; text-decoration-skip-ink: initial; text-indent: initial; text-overflow: initial; text-shadow: initial; text-size-adjust: initial; text-transform: initial; text-underline-offset: initial; text-underline-position: initial; touch-action: initial; transform: initial; transform-box: initial; transform-origin: initial; transform-style: initial; transition: initial; user-select: initial; vector-effect: initial; vertical-align: initial; visibility: initial; -webkit-app-region: initial; border-spacing: initial; -webkit-border-image: initial; -webkit-box-align: initial; -webkit-box-decoration-break: initial; -webkit-box-direction: initial; -webkit-box-flex: initial; -webkit-box-ordinal-group: initial; -webkit-box-orient: initial; -webkit-box-pack: initial; -webkit-box-reflect: initial; -webkit-highlight: initial; -webkit-hyphenate-character: initial; -webkit-line-break: initial; -webkit-line-clamp: initial; -webkit-mask-box-image: initial; -webkit-mask: initial; -webkit-mask-composite: initial; -webkit-perspective-origin-x: initial; -webkit-perspective-origin-y: initial; -webkit-print-color-adjust: initial; -webkit-rtl-ordering: initial; -webkit-ruby-position: initial; -webkit-tap-highlight-color: initial; -webkit-text-combine: initial; -webkit-text-decorations-in-effect: initial; -webkit-text-emphasis: initial; -webkit-text-emphasis-position: initial; -webkit-text-fill-color: initial; -webkit-text-security: initial; -webkit-text-stroke: initial; -webkit-transform-origin-x: initial; -webkit-transform-origin-y: initial; -webkit-transform-origin-z: initial; -webkit-user-drag: initial; -webkit-user-modify: initial; white-space: initial; widows: initial; width: initial; will-change: initial; word-break: initial; word-spacing: initial; x: initial; y: initial; z-index: initial;\">\u00a0<\/div>\r\n<div class=\"ms-editor-squiggler\" style=\"color: initial; font: initial; font-feature-settings: initial; font-kerning: initial; font-optical-sizing: initial; font-variation-settings: initial; forced-color-adjust: initial; text-orientation: initial; text-rendering: initial; -webkit-font-smoothing: initial; -webkit-locale: initial; -webkit-text-orientation: initial; -webkit-writing-mode: initial; writing-mode: initial; zoom: initial; place-content: initial; place-items: initial; place-self: initial; alignment-baseline: initial; 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content: initial; content-visibility: initial; counter-increment: initial; counter-reset: initial; counter-set: initial; cursor: initial; cx: initial; cy: initial; d: initial; display: block; dominant-baseline: initial; empty-cells: initial; fill: initial; fill-opacity: initial; fill-rule: initial; filter: initial; flex: initial; flex-flow: initial; float: initial; flood-color: initial; flood-opacity: initial; grid: initial; grid-area: initial; height: 0px; hyphens: initial; image-orientation: initial; image-rendering: initial; inline-size: initial; inset-block: initial; inset-inline: initial; isolation: initial; letter-spacing: initial; lighting-color: initial; line-break: initial; list-style: initial; margin-block: initial; margin: initial; margin-inline: initial; marker: initial; mask: initial; mask-type: initial; max-block-size: initial; max-height: initial; max-inline-size: initial; max-width: initial; min-block-size: initial; min-height: initial; min-inline-size: initial; min-width: initial; 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A lei de Fourier descreve seu comportamento de acordo com a Equa\u00e7\u00e3o 1. Onde: q \u00e9 o fluxo de calor [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":10284,"parent":2380,"menu_order":3,"comment_status":"closed","ping_status":"closed","template":"templates\/template-full-width.php","meta":{"_uag_custom_page_level_css":"","footnotes":""},"class_list":["post-6884","page","type-page","status-publish","has-post-thumbnail","hentry"],"uagb_featured_image_src":{"full":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas.png",1200,280,false],"thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas-150x150.png",150,150,true],"medium":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas-300x70.png",300,70,true],"medium_large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas-768x179.png",580,135,true],"large":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas-1024x239.png",580,135,true],"1536x1536":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas.png",1200,280,false],"2048x2048":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas.png",1200,280,false],"post-thumbnail":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas.png",1200,280,false],"twentytwenty-fullscreen":["https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-content\/uploads\/2020\/05\/prop_termicas.png",1200,280,false]},"uagb_author_info":{"display_name":"admin","author_link":"https:\/\/www.antonioguilherme.web.br.com\/blog\/author\/admin\/"},"uagb_comment_info":0,"uagb_excerpt":"A condu\u00e7\u00e3o consiste na forma de transfer\u00eancia de calor no interior dos materiais s\u00f3lidos, e ocorre atrav\u00e9s da transmiss\u00e3o de energia entre \u00e1tomos e mol\u00e9culas a partir dos pontos mais quentes para os mais frios. A lei de Fourier descreve seu comportamento de acordo com a Equa\u00e7\u00e3o 1. Onde: q \u00e9 o fluxo de calor&hellip;","_links":{"self":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/6884","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/comments?post=6884"}],"version-history":[{"count":123,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/6884\/revisions"}],"predecessor-version":[{"id":44090,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/6884\/revisions\/44090"}],"up":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/pages\/2380"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media\/10284"}],"wp:attachment":[{"href":"https:\/\/www.antonioguilherme.web.br.com\/blog\/wp-json\/wp\/v2\/media?parent=6884"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}