{"id":48183,"date":"2019-11-08T10:40:36","date_gmt":"2019-11-08T09:40:36","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-expansao-isotermica-compressao-isotermica-definicao\/"},"modified":"2020-01-27T17:25:56","modified_gmt":"2020-01-27T16:25:56","slug":"o-que-e-expansao-isotermica-compressao-isotermica-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-expansao-isotermica-compressao-isotermica-definicao\/","title":{"rendered":"O que \u00e9 Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica.\u00a0Assuma uma expans\u00e3o isot\u00e9rmica de h\u00e9lio (i \u2192 f) em um pist\u00e3o sem atrito (sistema fechado).\u00a0A expans\u00e3o do g\u00e1s \u00e9 impulsionada pela absor\u00e7\u00e3o de energia t\u00e9rmica Qadd.\u00a0Engenharia T\u00e9rmica<\/div>\n<\/div>\n<div class=\"su-divider su-divider-style-dotted\"><\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-50 lgc-tablet-grid-50 lgc-mobile-grid-100 lgc-equal-heights lgc-first\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Processo isot\u00e9rmico<\/h2>\n<p>Um\u00a0<strong>processo isot\u00e9rmico<\/strong>\u00a0\u00e9 um\u00a0<a title=\"Processos termodin\u00e2micos\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-termodinamico-definicao\/\"><strong>processo termodin\u00e2mico<\/strong><\/a>\u00a0, no qual a\u00a0<strong>temperatura<\/strong>\u00a0do sistema\u00a0<strong>permanece constante<\/strong>\u00a0(T = const).\u00a0A transfer\u00eancia de calor para dentro ou para fora do sistema geralmente deve ocorrer a uma taxa t\u00e3o lenta, a fim de se ajustar continuamente \u00e0 temperatura do reservat\u00f3rio atrav\u00e9s da troca de calor.\u00a0Em cada um desses estados, o\u00a0<a title=\"Equil\u00edbrio t\u00e9rmico\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-temperature-physics\/thermal-equilibrium\/\"><strong>equil\u00edbrio t\u00e9rmico<\/strong><\/a>\u00a0\u00e9 mantido.<\/p>\n<p>Para um\u00a0<a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><strong>g\u00e1s ideal<\/strong>\u00a0<\/a>e um processo politr\u00f3pico, o caso\u00a0<strong><em>n = 1<\/em><\/strong>\u00a0corresponde a um processo\u00a0<strong>isot\u00e9rmico<\/strong>\u00a0(temperatura constante).\u00a0Em contraste com o\u00a0<a title=\"Processo Adiab\u00e1tico\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-adiabatico-definicao\/\"><strong>processo adiab\u00e1tico<\/strong><\/a>\u00a0, no qual\u00a0<strong><i>n = \u03ba<\/i><\/strong><em>\u00a0\u00a0 e\u00a0<\/em><em>um sistema n\u00e3o trocam calor com o ambiente (Q = 0;\u00a0<\/em><em>\u2206T \u2260 0\u00a0<\/em><em>)\u00a0<\/em><em>, em um processo isot\u00e9rmico n\u00e3o h\u00e1 altera\u00e7\u00e3o na energia interna (devido a \u2206T = 0 ) e, portanto,\u00a0<\/em><em>\u0394U = 0 (para gases ideais) e Q \u2260 0.<\/em>\u00a0Um processo adiab\u00e1tico n\u00e3o \u00e9 necessariamente um processo isot\u00e9rmico, nem um processo isot\u00e9rmico \u00e9 necessariamente adiab\u00e1tico.<\/p>\n<p>Na engenharia, mudan\u00e7as de fase, como evapora\u00e7\u00e3o ou fus\u00e3o, s\u00e3o processos isot\u00e9rmicos quando, como geralmente ocorre, ocorrem a press\u00e3o e temperatura constantes.<\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-50 lgc-tablet-grid-50 lgc-mobile-grid-100 lgc-equal-heights lgc-last\">\n<div class=\"inside-grid-column\">\n<figure id=\"attachment_17407\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17407\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-main-characteristics.png\"><img loading=\"lazy\" class=\"size-full wp-image-17407 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-main-characteristics.png\" alt=\"Processo isot\u00e9rmico - principais caracter\u00edsticas\" width=\"382\" height=\"714\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-main-characteristics.png\" \/><\/a><figcaption id=\"caption-attachment-17407\" class=\"wp-caption-text\">Processo isot\u00e9rmico &#8211; principais caracter\u00edsticas<\/figcaption><\/figure>\n<figure id=\"attachment_17319\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17319\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Boyle-Mariotte-Law.gif\"><img loading=\"lazy\" class=\"size-full wp-image-17319 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Boyle-Mariotte-Law.gif\" alt=\"Lei de Boyle-Mariotte\" width=\"532\" height=\"403\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Boyle-Mariotte-Law.gif\" \/><\/a><figcaption id=\"caption-attachment-17319\" class=\"wp-caption-text\">Lei de Boyle-Mariotte.\u00a0Para uma massa fixa de g\u00e1s a temperatura constante, o volume \u00e9 inversamente proporcional \u00e0 press\u00e3o.\u00a0Fonte: grc.nasa.gov A pol\u00edtica de direitos autorais da NASA afirma que \u201co material da NASA n\u00e3o \u00e9 protegido por direitos autorais, a menos que seja observado\u201d.<\/figcaption><\/figure>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2>Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica<\/h2>\n<p>Veja tamb\u00e9m:\u00a0<a title=\"O que \u00e9 o g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/what-is-ideal-gas\/\">O que \u00e9 um g\u00e1s ideal<\/a><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isotherm-curve-example.png\"><img loading=\"lazy\" class=\"alignright size-medium wp-image-17410 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isotherm-curve-example-300x250.png\" alt=\"curva isot\u00e9rmica - exemplo\" width=\"300\" height=\"250\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isotherm-curve-example-300x250.png\" \/><\/a><\/p>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<p><span>Num\u00a0<\/span><a title=\"O que \u00e9 o g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/what-is-ideal-gas\/\"><span>g\u00e1s ideal<\/span><\/a><span>\u00a0, as mol\u00e9culas n\u00e3o t\u00eam volume e n\u00e3o interagem.\u00a0De acordo com a\u00a0<\/span><a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><span>lei ideal dos gases<\/span><\/a><span>\u00a0, a\u00a0<\/span><a title=\"O que \u00e9 press\u00e3o - F\u00edsica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-pressure-physics\/\"><span>press\u00e3o<\/span><\/a><span>\u00a0varia linearmente com a\u00a0<\/span><a title=\"O que \u00e9 temperatura - F\u00edsica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-temperatura-fisica-definicao\/\"><span>temperatura<\/span><\/a><span>\u00a0e a quantidade e inversamente com o\u00a0<\/span><a title=\"O que \u00e9 volume - F\u00edsica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/thermodynamic-properties\/what-is-volume-physics\/\"><span>volume<\/span><\/a><span>\u00a0.<\/span><\/p>\n<p><strong><em><span>pV = nRT<\/span><\/em><\/strong><\/p>\n<p><span>Onde:<\/span><\/p>\n<ul>\n<li><em><span>p<\/span><\/em><span>\u00a0\u00e9 a press\u00e3o absoluta do g\u00e1s<\/span><\/li>\n<li><em><span>n<\/span><\/em><span>\u00a0\u00e9 a quantidade de subst\u00e2ncia<\/span><\/li>\n<li><em><span>T<\/span><\/em><span>\u00a0\u00e9 a temperatura absoluta<\/span><\/li>\n<li><em><span>V<\/span><\/em><span>\u00a0\u00e9 o volume<\/span><\/li>\n<li><em><span>R<\/span><\/em><span>\u00a0\u00a0\u00e9 a constante de g\u00e1s ideal, ou universal, igual ao produto da constante de Boltzmann e da constante de Avogadro,<\/span><\/li>\n<\/ul>\n<p><span>Nesta equa\u00e7\u00e3o, o s\u00edmbolo R \u00e9 uma constante chamada constante\u00a0<\/span><strong><span>universal de g\u00e1s<\/span><\/strong><span>\u00a0que tem o mesmo valor para todos os gases &#8211; ou seja, R = 8,31 J \/ mol K.<\/span><\/p>\n<p><span>O\u00a0<\/span><strong><span>processo isot\u00e9rmico\u00a0<\/span><\/strong><span>\u00a0pode ser expresso com a\u00a0<\/span><strong><span>lei do g\u00e1s ideal<\/span><\/strong><span>\u00a0como:<\/span><\/p>\n<p><strong><em><span>pV = constante<\/span><\/em><\/strong><\/p>\n<p><span>ou<\/span><\/p>\n<p><em><strong><span>p\u00a0<\/span><sub><span>1<\/span><\/sub><span>\u00a0V\u00a0<\/span><sub><span>1<\/span><\/sub><span>\u00a0\u00a0= p\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0V\u00a0<\/span><sub><span>2<\/span><\/sub><\/strong><\/em><\/p>\n<p><span>Em um diagrama pV, o processo ocorre ao longo de uma linha (chamada uma isot\u00e9rmica) que tem a equa\u00e7\u00e3o\u00a0<\/span><strong><span>p = constante \/ V<\/span><\/strong><span>\u00a0.<\/span><\/p>\n<\/div>\n<\/div>\n<div class=\"lgc-column lgc-grid-parent lgc-grid-100 lgc-tablet-grid-100 lgc-mobile-grid-100 lgc-equal-heights  lgc-first lgc-last\">\n<div class=\"inside-grid-column\">\n<div class=\"su-spacer\"><\/div>\n<h2><span>Exemplo de processo isot\u00e9rmico<\/span><\/h2>\n<figure id=\"attachment_17408\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17408\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-pV-diagram.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17408 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-pV-diagram-300x245.png\" alt=\"Processo isot\u00e9rmico - diagrama pV\" width=\"300\" height=\"245\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-pV-diagram-300x245.png\" \/><\/a><figcaption id=\"caption-attachment-17408\" class=\"wp-caption-text\"><span>Processo isot\u00e9rmico &#8211; diagrama pV<\/span><\/figcaption><\/figure>\n<p><span>Assuma uma\u00a0<\/span><strong><span>expans\u00e3o isot\u00e9rmica<\/span><\/strong><span>\u00a0de h\u00e9lio (i \u2192 f) em um pist\u00e3o sem atrito (sistema fechado).\u00a0A expans\u00e3o do g\u00e1s \u00e9 impulsionada pela absor\u00e7\u00e3o de energia t\u00e9rmica\u00a0<\/span><strong><span>Q\u00a0<\/span><sub><span>add<\/span><\/sub><\/strong><span>\u00a0.\u00a0O g\u00e1s se expande do volume inicial de 0,001 m\u00a0<\/span><sup><span>3<\/span><\/sup><span>\u00a0e simultaneamente a carga externa do pist\u00e3o diminui lenta e continuamente de 1 MPa para 0,5 MPa.\u00a0Como o h\u00e9lio se comporta quase como um g\u00e1s ideal, use a\u00a0<\/span><a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><strong><span>lei do g\u00e1s ideal<\/span><\/strong>\u00a0<\/a><span>para calcular o volume final da c\u00e2mara e depois calcule o trabalho realizado pelo sistema, quando a temperatura do g\u00e1s for igual a 400 K.<\/span><\/p>\n<p><strong><span>Solu\u00e7\u00e3o:<\/span><\/strong><\/p>\n<p><span>O volume final do g\u00e1s, V\u00a0<\/span><sub><span>f<\/span><\/sub><span>\u00a0, pode ser calculado usando a rela\u00e7\u00e3o\u00a0<\/span><strong><span>p, V, T<\/span><\/strong><span>\u00a0para o processo isot\u00e9rmico:<\/span><\/p>\n<p><strong><em><span>p\u00a0<\/span><\/em><em><sub><span>i<\/span><\/sub><\/em><em><span>\u00a0V\u00a0<\/span><\/em><em><sub><span>i<\/span><\/sub><\/em><em><span>\u00a0= p\u00a0<\/span><\/em><em><sub><span>f<\/span><\/sub><\/em><em><span>\u00a0V\u00a0<\/span><\/em><em><sub><span>f<\/span><\/sub><\/em>\u00a0<em><span>\u21d2\u00a0<\/span><\/em><em><span>V\u00a0<\/span><\/em><em><sub><span>f<\/span><\/sub><\/em><em><span>\u00a0= p\u00a0<\/span><\/em><em><sub><span>i<\/span><\/sub><\/em><em><span>\u00a0V\u00a0<\/span><\/em><em><sub><span>i<\/span><\/sub><\/em><em><span>\u00a0\/ p\u00a0<\/span><\/em><em><sub><span>f<\/span><\/sub><\/em><em><span>\u00a0= 2 x 0,001 m\u00a0<\/span><\/em><em><sup><span>3<\/span><\/sup><\/em><em><span>\u00a0= 0,002 m\u00a0<\/span><\/em><em><sup><span>3<\/span><\/sup><\/em><\/strong><\/p>\n<p><span>Para calcular esses processos, precisar\u00edamos saber como a press\u00e3o varia com o volume do processo real pelo qual o sistema muda\u00a0<\/span><strong><span>do estado i para o estado f<\/span><\/strong><span>\u00a0.\u00a0Como durante esse processo a press\u00e3o interna n\u00e3o era constante, o\u00a0trabalho de\u00a0<\/span><strong><span>p\u2206V<\/span><\/strong><span>\u00a0realizado pelo pist\u00e3o deve ser calculado usando a seguinte integral:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-example.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17409 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-example.png\" alt=\"processo isot\u00e9rmico - exemplo\" width=\"591\" height=\"144\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/isothermal-process-example.png\" \/><\/a><\/p>\n<p>Por conven\u00e7\u00e3o,\u00a0um valor positivo para o trabalho indica que o trabalho \u00e9 realizado pelo sistema em seu entorno.\u00a0Um valor negativo indica que o trabalho \u00e9 realizado no sistema por seus arredores.\u00a0O trabalho p\u0394V \u00e9 igual \u00e0 \u00e1rea sob a curva do processo plotada no diagrama press\u00e3o-volume.<\/p>\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n<p>&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;&#8230;.<\/p>\n<p>Este artigo \u00e9 baseado na tradu\u00e7\u00e3o autom\u00e1tica do artigo original em ingl\u00eas. Para mais informa\u00e7\u00f5es, consulte o artigo em ingl\u00eas. Voc\u00ea pode nos ajudar. Se voc\u00ea deseja corrigir a tradu\u00e7\u00e3o, envie-a para: translations@nuclear-power.com ou preencha o formul\u00e1rio de tradu\u00e7\u00e3o on-line. Agradecemos sua ajuda, atualizaremos a tradu\u00e7\u00e3o o mais r\u00e1pido poss\u00edvel. Obrigado.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica.\u00a0Assuma uma expans\u00e3o isot\u00e9rmica de h\u00e9lio (i \u2192 f) em um pist\u00e3o sem atrito (sistema fechado).\u00a0A expans\u00e3o do g\u00e1s \u00e9 impulsionada pela absor\u00e7\u00e3o de energia t\u00e9rmica Qadd.\u00a0Engenharia T\u00e9rmica Processo isot\u00e9rmico Um\u00a0processo isot\u00e9rmico\u00a0\u00e9 um\u00a0processo termodin\u00e2mico\u00a0, no qual a\u00a0temperatura\u00a0do sistema\u00a0permanece constante\u00a0(T = const).\u00a0A transfer\u00eancia de calor para dentro ou para fora do sistema &#8230; <a title=\"O que \u00e9 Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-expansao-isotermica-compressao-isotermica-definicao\/\" aria-label=\"More on O que \u00e9 Expans\u00e3o Isot\u00e9rmica &#8211; Compress\u00e3o Isot\u00e9rmica &#8211; Defini\u00e7\u00e3o\">Ler mais<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[14],"tags":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v15.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>O que \u00e9 Expans\u00e3o Isot\u00e9rmica - Compress\u00e3o Isot\u00e9rmica - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"Expans\u00e3o Isot\u00e9rmica - Compress\u00e3o Isot\u00e9rmica. Assuma uma expans\u00e3o isot\u00e9rmica de h\u00e9lio (i \u2192 f) em um pist\u00e3o sem atrito (sistema fechado). A expans\u00e3o do g\u00e1s \u00e9 impulsionada pela absor\u00e7\u00e3o de energia t\u00e9rmica Qadd. Engenharia T\u00e9rmica\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-expansao-isotermica-compressao-isotermica-definicao\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"O que \u00e9 Expans\u00e3o Isot\u00e9rmica - Compress\u00e3o Isot\u00e9rmica - Defini\u00e7\u00e3o\" \/>\n<meta property=\"og:description\" content=\"Expans\u00e3o Isot\u00e9rmica - Compress\u00e3o Isot\u00e9rmica. Assuma uma expans\u00e3o isot\u00e9rmica de h\u00e9lio (i \u2192 f) em um pist\u00e3o sem atrito (sistema fechado). 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