{"id":48163,"date":"2019-11-08T09:02:43","date_gmt":"2019-11-08T08:02:43","guid":{"rendered":"https:\/\/www.thermal-engineering.org\/o-que-e-expansao-adiabatica-compressao-adiabatica-definicao\/"},"modified":"2020-01-27T17:14:53","modified_gmt":"2020-01-27T16:14:53","slug":"o-que-e-expansao-adiabatica-compressao-adiabatica-definicao","status":"publish","type":"post","link":"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-expansao-adiabatica-compressao-adiabatica-definicao\/","title":{"rendered":"O que \u00e9 Expans\u00e3o Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica &#8211; Defini\u00e7\u00e3o"},"content":{"rendered":"<div class=\"su-quote su-quote-style-default\">\n<div class=\"su-quote-inner su-clearfix\">Expans\u00e3o Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica.\u00a0A compress\u00e3o e expans\u00e3o adiab\u00e1ticas s\u00e3o processos muito importantes na an\u00e1lise t\u00e9rmica de usinas termel\u00e9tricas.\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 Adiab\u00e1tico<\/h2>\n<p>Um\u00a0<strong>processo adiab\u00e1tico<\/strong>\u00a0\u00e9 um\u00a0<a title=\"Processos termodin\u00e2micos\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-termodinamico-definicao\/\">processo termodin\u00e2mico<\/a>\u00a0, no qual n\u00e3o\u00a0<strong>h\u00e1 transfer\u00eancia de calor para<\/strong>\u00a0dentro ou para fora do sistema (Q = 0).\u00a0O sistema pode ser considerado\u00a0<strong>perfeitamente isolado<\/strong>\u00a0.\u00a0Em um processo adiab\u00e1tico, a energia \u00e9 transferida apenas como trabalho.\u00a0A suposi\u00e7\u00e3o de que n\u00e3o h\u00e1 transfer\u00eancia de calor \u00e9 muito importante, pois podemos usar a aproxima\u00e7\u00e3o adiab\u00e1tica apenas em\u00a0<strong>processos muito r\u00e1pidos<\/strong>\u00a0.\u00a0Nesses processos r\u00e1pidos, n\u00e3o h\u00e1 tempo suficiente para que a transfer\u00eancia de energia como calor ocorra de ou para o sistema.<\/p>\n<p>Em dispositivos reais (como turbinas, bombas e compressores)\u00a0ocorrem\u00a0<strong>perdas<\/strong>\u00a0e\u00a0<strong>perdas de calor<\/strong>\u00a0no processo de combust\u00e3o, mas essas perdas s\u00e3o geralmente baixas em compara\u00e7\u00e3o com o fluxo geral de energia e podemos aproximar alguns processos termodin\u00e2micos pelo processo adiab\u00e1tico.<\/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_17354\" class=\"wp-caption aligncenter\" aria-describedby=\"caption-attachment-17354\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\"><img loading=\"lazy\" class=\"size-full wp-image-17354 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\" alt=\"Principais caracter\u00edsticas do processo adiab\u00e1tico\" width=\"380\" height=\"564\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/Adiabatic-Process-main-characteristics1.png\" \/><\/a><figcaption id=\"caption-attachment-17354\" class=\"wp-caption-text\">Principais caracter\u00edsticas do processo adiab\u00e1tico<\/figcaption><\/figure>\n<p>Veja tamb\u00e9m:\u00a0<a title=\"Primeira Lei da Termodin\u00e2mica\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-a-primeira-lei-da-termodinamica-definicao\/\">Primeira lei da termodin\u00e2mica<\/a><\/p>\n<p>Veja tamb\u00e9m:\u00a0<a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\">Lei do g\u00e1s ideal<\/a><\/p>\n<p>Veja tamb\u00e9m:\u00a0<a title=\"O que \u00e9 entalpia\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/what-is-energy-physics\/what-is-enthalpy\/\">O que \u00e9 entalpia<\/a><\/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>Expans\u00e3o Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica<\/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<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 adiab\u00e1tico<\/span><\/strong><span>\u00a0\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\u00a0<\/span><sup><span>\u03ba<\/span><\/sup><span>\u00a0= 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\u00a0<\/span><\/sub><sup><span>k<\/span><\/sup><span>\u00a0= p\u00a0<\/span><sub><span>2<\/span><\/sub><span>\u00a0V\u00a0<\/span><sub><span>2\u00a0<\/span><\/sub><sup><span>k<\/span><\/sup><\/strong><\/em><\/p>\n<p><span>em que\u00a0<\/span><strong><span>\u03ba = c\u00a0<\/span><sub><span>p<\/span><\/sub><span>\u00a0\/ c\u00a0<\/span><sub><span>v<\/span><\/sub><\/strong><span>\u00a0\u00e9 a propor\u00e7\u00e3o de\u00a0<a title=\"Capacidade t\u00e9rmica - Capacidade t\u00e9rmica espec\u00edfica\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/laws-of-thermodynamics\/first-law-of-thermodynamics\/heat-capacity\/\"><strong>aquecimentos espec\u00edficos<\/strong><\/a>\u00a0(ou\u00a0<strong>capacidades de calor<\/strong>\u00a0) para o g\u00e1s.\u00a0Um para\u00a0<strong>press\u00e3o constante (c\u00a0<\/strong><strong><sub>p<\/sub><\/strong><strong>\u00a0)<\/strong>\u00a0e outro para\u00a0<strong>volume constante (c\u00a0<\/strong><strong><sub>v<\/sub><\/strong><strong>\u00a0)<\/strong>\u00a0.\u00a0Observe que essa raz\u00e3o\u00a0<strong>\u03ba\u00a0\u00a0<\/strong><strong>= c\u00a0<\/strong><strong><sub>p<\/sub><\/strong><strong>\u00a0\/ c\u00a0<\/strong><strong><sub>v<\/sub><\/strong>\u00a0\u00e9 um fator na determina\u00e7\u00e3o da velocidade do som em um g\u00e1s e em outros processos adiab\u00e1ticos.<\/span><\/p>\n<p><strong><span>Outra rela\u00e7\u00e3o p, V, T<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17281 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" alt=\"rela\u00e7\u00e3o p, V, T - processo isentr\u00f3pico\" width=\"209\" height=\"72\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" \/><\/a><\/p>\n<p><span>Em um\u00a0<\/span><strong><span>diagrama de pV<\/span><\/strong><span>\u00a0, o processo ocorre ao longo de uma linha (chamada\u00a0<\/span><strong><span>adiabat<\/span><\/strong><span>\u00a0) que possui a equa\u00e7\u00e3o\u00a0<\/span><strong><span>p = constante \/ V\u00a0<\/span><sup><span>\u03ba<\/span><\/sup><\/strong><span>\u00a0.\u00a0<\/span><strong><span>Para um g\u00e1s ideal e um processo politr\u00f3pico, o caso\u00a0<\/span><i><span>n = \u03ba\u00a0<\/span><\/i><\/strong><span><strong>corresponde a um processo adiab\u00e1tico.<\/strong><\/span><i>\u00a0\u00a0<\/i><\/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 expans\u00e3o adiab\u00e1tica<\/span><\/h2>\n<figure id=\"attachment_17362\" class=\"wp-caption alignright\" aria-describedby=\"caption-attachment-17362\"><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process.png\"><img loading=\"lazy\" class=\"size-medium wp-image-17362 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process-300x251.png\" alt=\"Diagrama PV - processo adiab\u00e1tico\" width=\"300\" height=\"251\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/P-V-diagram-adiabatic-process-300x251.png\" \/><\/a><figcaption id=\"caption-attachment-17362\" class=\"wp-caption-text\"><span>Assuma uma expans\u00e3o adiab\u00e1tica de h\u00e9lio (3 \u2192 4) em uma turbina a g\u00e1s (ciclo de Brayton).<\/span><\/figcaption><\/figure>\n<p><span>Assuma uma\u00a0<\/span><strong><span>expans\u00e3o adiab\u00e1tica<\/span><\/strong><span>\u00a0de h\u00e9lio (\u00a0<\/span><strong><span>3 \u2192 4<\/span><\/strong><span>\u00a0) em uma\u00a0<\/span><strong><span>turbina a g\u00e1s<\/span><\/strong><span>\u00a0.\u00a0Como o h\u00e9lio se comporta quase como um\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, use a\u00a0<\/span><a title=\"Lei do g\u00e1s ideal\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/\"><span>lei do g\u00e1s ideal<\/span><\/a><span>\u00a0para calcular a\u00a0<\/span><strong><span>temperatura<\/span><\/strong><span>\u00a0de\u00a0<strong>sa\u00edda<\/strong>\u00a0do g\u00e1s (\u00a0<\/span><strong><span>T\u00a0<\/span><sub><span>4, real<\/span><\/sub><\/strong><span>\u00a0).\u00a0Nessas turbinas, o est\u00e1gio de alta press\u00e3o recebe g\u00e1s (ponto 3 na figura; p\u00a0<\/span><sub><span>3<\/span><\/sub><span>\u00a0=\u00a0<\/span><strong><span>6,7 MPa<\/span><\/strong><span>\u00a0;\u00a0<\/span><strong><span>T\u00a0<\/span><sub><span>3<\/span><\/sub><span>\u00a0= 1190 K<\/span><\/strong><span>\u00a0(917 \u00b0 C)) de um trocador de calor e o esgota em outro trocador de calor, onde a press\u00e3o de sa\u00edda \u00e9 p\u00a0<\/span><sub><span>4<\/span><\/sub><span>\u00a0=\u00a0<\/span><strong><span>2,78 MPa<\/span><\/strong><span>\u00a0(ponto 4)\u00a0<\/span><strong><span>.<\/span><\/strong><\/p>\n<p><strong><span>Solu\u00e7\u00e3o:<\/span><\/strong><\/p>\n<p><span>A temperatura de sa\u00edda do g\u00e1s, T4\u00a0<\/span><sub><span>, real<\/span><\/sub><span>\u00a0, pode ser calculada usando a rela\u00e7\u00e3o\u00a0<\/span><strong><span>p, V, T<\/span><\/strong><span>\u00a0para um processo adiab\u00e1tico.\u00a0Observe que, \u00e9 a mesma rela\u00e7\u00e3o do\u00a0<\/span><a title=\"Processo isentr\u00f3pico\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-processo-isentropico-definicao\/\"><span>processo isentr\u00f3pico<\/span><\/a><span>\u00a0, portanto, os resultados devem ser id\u00eanticos.\u00a0Nesse caso, calculamos a expans\u00e3o para diferentes turbinas a g\u00e1s (menos eficientes), como no caso da\u00a0<\/span><strong><span>expans\u00e3o isentr\u00f3pica na turbina a g\u00e1s.<\/span><\/strong><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17281 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" alt=\"rela\u00e7\u00e3o p, V, T - processo isentr\u00f3pico\" width=\"209\" height=\"72\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/pVT-relation-isentropic-process.png\" \/><\/a><\/p>\n<p><span>Nesta equa\u00e7\u00e3o, o fator para o h\u00e9lio \u00e9 igual a\u00a0<\/span><strong><span>\u03ba\u00a0<\/span><\/strong><strong><span>= c\u00a0<\/span><sub><span>p<\/span><\/sub><span>\u00a0\/ c\u00a0<\/span><sub><span>v<\/span><\/sub><span>\u00a0= 1,66<\/span><\/strong><span>\u00a0.\u00a0A partir da equa\u00e7\u00e3o anterior, segue que a temperatura de sa\u00edda do g\u00e1s,\u00a0<\/span><strong><span>T4\u00a0<\/span><sub><span>, real<\/span><\/sub><\/strong><span>\u00a0, \u00e9:<\/span><\/p>\n<p><a href=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\"><img loading=\"lazy\" class=\"aligncenter size-full wp-image-17307 lazy-loaded\" src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\" alt=\"processo adiab\u00e1tico - exemplo\" width=\"518\" height=\"80\" data-lazy-type=\"image\" data-src=\"https:\/\/thermal-engineering.org\/wp-content\/uploads\/2019\/05\/adiabatic-process-example.png\" \/><\/a><\/p>\n<p><span>Veja tamb\u00e9m:\u00a0\u00a0<\/span><a title=\"Rela\u00e7\u00e3o de Mayer - f\u00f3rmula de Mayer\" href=\"https:\/\/www.nuclear-power.com\/nuclear-engineering\/thermodynamics\/ideal-gas-law\/mayers-relation-mayers-formula\/\"><strong><span>Rela\u00e7\u00e3o de Mayer<\/span><\/strong><\/a><\/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 Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica.\u00a0A compress\u00e3o e expans\u00e3o adiab\u00e1ticas s\u00e3o processos muito importantes na an\u00e1lise t\u00e9rmica de usinas termel\u00e9tricas.\u00a0Engenharia T\u00e9rmica Processo Adiab\u00e1tico Um\u00a0processo adiab\u00e1tico\u00a0\u00e9 um\u00a0processo termodin\u00e2mico\u00a0, no qual n\u00e3o\u00a0h\u00e1 transfer\u00eancia de calor para\u00a0dentro ou para fora do sistema (Q = 0).\u00a0O sistema pode ser considerado\u00a0perfeitamente isolado\u00a0.\u00a0Em um processo adiab\u00e1tico, a energia \u00e9 transferida apenas como &#8230; <a title=\"O que \u00e9 Expans\u00e3o Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica &#8211; Defini\u00e7\u00e3o\" class=\"read-more\" href=\"https:\/\/www.thermal-engineering.org\/pt-br\/o-que-e-expansao-adiabatica-compressao-adiabatica-definicao\/\" aria-label=\"More on O que \u00e9 Expans\u00e3o Adiab\u00e1tica &#8211; Compress\u00e3o Adiab\u00e1tica &#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 Adiab\u00e1tica - Compress\u00e3o Adiab\u00e1tica - Defini\u00e7\u00e3o<\/title>\n<meta name=\"description\" content=\"Expans\u00e3o Adiab\u00e1tica - Compress\u00e3o Adiab\u00e1tica. 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