{"id":213,"date":"2023-06-24T01:28:45","date_gmt":"2023-06-24T01:28:45","guid":{"rendered":"https:\/\/physigeek.com\/pt\/lei-lambert-da-cerveja\/"},"modified":"2023-06-24T01:28:45","modified_gmt":"2023-06-24T01:28:45","slug":"lei-lambert-da-cerveja","status":"publish","type":"post","link":"https:\/\/physigeek.com\/pt\/lei-lambert-da-cerveja\/","title":{"rendered":"Lei da cerveja-lambert"},"content":{"rendered":"<p>Este artigo explica o que \u00e9 a lei Beer-Lambert. Ent\u00e3o, voc\u00ea vai descobrir o que diz a lei de Beer-Lambert, qual \u00e9 sua f\u00f3rmula e para que serve essa lei qu\u00edmica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"%C2%BFQue-es-la-ley-de-Beer-Lambert\"><\/span> O que \u00e9 a lei Beer-Lambert?<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A <strong>lei Beer-Lambert<\/strong> , tamb\u00e9m chamada de <strong>lei de Beer<\/strong> ou <strong>lei Beer-Lambert-Bouguer<\/strong> , \u00e9 uma regra que define a rela\u00e7\u00e3o entre as caracter\u00edsticas de uma subst\u00e2ncia e a quantidade de luz absorvida por uma subst\u00e2ncia quando um feixe de luz a atravessa.<\/p>\n<p> A lei Beer-Lambert foi descoberta por Pierre Bouguer, Johann Heinrich Lambert e August Beer em diferentes est\u00e1gios. No final do artigo \u00e9 explicada a origem desta lei cient\u00edfica. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Formula-de-la-ley-de-Beer-Lambert\"><\/span> F\u00f3rmula da lei de Beer-Lambert<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> A f\u00f3rmula da lei de Lambert-Beer define matematicamente a rela\u00e7\u00e3o entre a quantidade de luz absorvida e a concentra\u00e7\u00e3o de soluto na subst\u00e2ncia, transmit\u00e2ncia e comprimento da amostra atrav\u00e9s da qual a luz passa.<\/p>\n<p> Assim, a <strong>f\u00f3rmula da lei Beer-Lambert<\/strong> \u00e9 a seguinte:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-e8b0154d016ab2e96d2f93fc28264514_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle \\frac{I_1}{I_0}=10^{-\\alpha\\cdot \\ell} =10^{-\\varepsilon\\cdot\\ell \\cdot c}=10^{-A}[\/latex ] O\u00f9:\n\n<ul style=&quot;color:#4fd12f; font-weight: bold;&quot;>\n<li style=&quot;margin-bottom:5px&quot;> <span style=&quot;color:#101010;font-weight: normal;&quot;>[latex]A&#8221; title=&#8221;Rendered by QuickLaTeX.com&#8221; height=&#8221;80&#8243; width=&#8221;582&#8243; style=&#8221;vertical-align: -5px;&#8221;><\/p>\n<p> \u00e9 a absorv\u00e2ncia, ou seja, a quantidade de luz absorvida. <\/p>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4e71d6c87c1a3adae26de81b7ac822db_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I_1\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"14\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a intensidade da luz de sa\u00edda. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a388cb824462284238cced83860611ce_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"I_0\" title=\"Rendered by QuickLaTeX.com\" height=\"15\" width=\"15\" style=\"vertical-align: -3px;\"><\/p>\n<p> \u00e9 a intensidade da luz que entra. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-43ad9834133cf0cf160ceb6f8c4b6c2b_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\varepsilon\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a absortividade molar (ou coeficiente de extin\u00e7\u00e3o), que \u00e9 uma constante de proporcionalidade. <\/span><\/li>\n<li style=\"margin-bottom:5px\"><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-a01f1555785d2234d4294020a2e3968a_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\ell\" title=\"Rendered by QuickLaTeX.com\" height=\"12\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o comprimento percorrido pela luz no meio.<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-5f44d9bbc8046069be4aa2989bff19aa_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\alpha\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"11\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 o coeficiente de absor\u00e7\u00e3o.<\/span><\/li>\n<li><span style=\"color:#101010;font-weight: normal;\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-276a76eafbebc4494deafceec7cc4ddd_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"c\" title=\"Rendered by QuickLaTeX.com\" height=\"8\" width=\"8\" style=\"vertical-align: 0px;\"><\/p>\n<p> \u00e9 a concentra\u00e7\u00e3o da subst\u00e2ncia que absorve luz.<\/span><\/li>\n<p> Al\u00e9m disso, as seguintes equa\u00e7\u00f5es podem ser deduzidas da f\u00f3rmula da lei de Beer-Lambert que permite calcular a absorv\u00e2ncia:<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-cee160864d3174c08b71531444431dec_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"A=\\alpha\\cdot \\ell =\\varepsilon\\cdot\\ell \\cdot c\" title=\"Rendered by QuickLaTeX.com\" height=\"13\" width=\"141\" style=\"vertical-align: 0px;\"><\/p>\n<\/p>\n<p class=\"has-text-align-center\">\n<p class=\"has-text-align-center\"><img decoding=\"async\" loading=\"lazy\" src=\"https:\/\/physigeek.com\/wp-content\/ql-cache\/quicklatex.com-4e4684aa45bb107a5d8d2394c502761c_l3.png\" class=\"ql-img-inline-formula quicklatex-auto-format\" alt=\"\\displaystyle A=-\\log\\frac{I_1}{I_0}\" title=\"Rendered by QuickLaTeX.com\" height=\"39\" width=\"97\" style=\"vertical-align: -15px;\"><\/p>\n<\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Validacion-de-la-ley-de-Beer-Lambert\"><\/span> Valida\u00e7\u00e3o da lei Beer-Lambert<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Para que a lei Beer-Lambert seja v\u00e1lida, as seis condi\u00e7\u00f5es seguintes devem ser atendidas:<\/p>\n<p style=\"margin-bottom:5px\"> Ouro:<\/p>\n<ul style=\"color:#4fd12f; font-weight: bold;\">\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">O meio absorvente deve ser homog\u00eaneo, pelo menos na \u00e1rea onde interage com a luz.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Caso haja mais de uma subst\u00e2ncia absorvente, elas dever\u00e3o agir de forma independente.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">O meio absorvente n\u00e3o deve dispersar a radia\u00e7\u00e3o, ou seja, n\u00e3o pode haver turva\u00e7\u00e3o. A luz s\u00f3 pode passar pela subst\u00e2ncia ou ser absorvida por ela.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">A luz incidente deve ser composta por raios paralelos, de modo que cada raio passe pelo mesmo comprimento de meio absorvente.<\/span><\/li>\n<li style=\"margin-bottom:15px\"> <span style=\"color:#101010;font-weight: normal;\">Para melhores resultados, a radia\u00e7\u00e3o incidente deve ser monocrom\u00e1tica. Em outras palavras, a luz incidente deve consistir em ondas eletromagn\u00e9ticas de um \u00fanico comprimento de onda.<\/span><\/li>\n<li> <span style=\"color:#101010;font-weight: normal;\">A luz incidente n\u00e3o deve ser invasiva, ou seja, n\u00e3o deve influenciar os \u00e1tomos ou mol\u00e9culas do meio absorvente.<\/span><\/li>\n<\/ul>\n<p> Observe que se alguma dessas condi\u00e7\u00f5es n\u00e3o for atendida, certamente ocorrer\u00e3o desvios da lei Beer-Lambert. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Aplicaciones-de-la-ley-de-Beer-Lambert\"><\/span> Aplica\u00e7\u00f5es da lei Beer-Lambert<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Na qu\u00edmica, a aplica\u00e7\u00e3o da lei de Beer-Lambert \u00e9 muito comum, pois relaciona matematicamente a luz absorvida com a concentra\u00e7\u00e3o de uma amostra.<\/p>\n<p> Assim, utilizando a lei de Beer-Lambert, a concentra\u00e7\u00e3o de soluto numa solu\u00e7\u00e3o pode ser determinada a partir da quantidade de luz que o soluto absorve quando um feixe de luz passa atrav\u00e9s da amostra.<\/p>\n<p> Por exemplo, o color\u00edmetro e o espectrofot\u00f4metro s\u00e3o dois instrumentos de laborat\u00f3rio que utilizam o princ\u00edpio da lei de Beer-Lambert para calcular a concentra\u00e7\u00e3o de soluto em uma amostra. <\/p>\n<h2 class=\"wp-block-heading\"><span class=\"ez-toc-section\" id=\"Historia-de-la-ley-de-Beer-Lambert\"><\/span> Hist\u00f3ria da lei Beer-Lambert<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p> Os cientistas que descobriram a lei de Beer-Lambert foram Pierre Bouguer, Johann Heinrich Lambert e August Beer, por\u00e9m sua descoberta ocorreu em momentos diferentes. Abaixo voc\u00ea confere qual \u00e9 a hist\u00f3ria dessa lei qu\u00edmica.<\/p>\n<p> Primeiro, a lei de Beer-Lambert foi descoberta por Pierre Bouguer antes de 1729 e descreveu a rela\u00e7\u00e3o entre a intensidade da luz absorvida e o comprimento do caminho percorrido. Portanto, quanto maior o comprimento, mais radia\u00e7\u00e3o uma subst\u00e2ncia absorve.<\/p>\n<p> Mais tarde, em 1760, Johann Heinrich Lambert estabeleceu que a perda de luz ao se propagar atrav\u00e9s de um meio \u00e9 diretamente proporcional \u00e0 intensidade da radia\u00e7\u00e3o e ao comprimento do meio.<\/p>\n<p> Embora o pr\u00f3prio Lambert tenha citado Bouguer em sua publica\u00e7\u00e3o, a descoberta desta lei \u00e9 frequentemente atribu\u00edda a Lambert. Embora na verdade o primeiro a compreender esta regra tenha sido Bouguer.<\/p>\n<p> Mais tarde, em 1852, August Beer expandiu a lei Bouger-Lambert para incluir a concentra\u00e7\u00e3o da subst\u00e2ncia absorvente, que era proporcional \u00e0 quantidade de energia luminosa absorvida. \u00c9 por isso que esta rela\u00e7\u00e3o \u00e9 chamada de lei Beer-Lambert ou, mais raramente, lei Beer-Lambert-Bouguer.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Este artigo explica o que \u00e9 a lei Beer-Lambert. Ent\u00e3o, voc\u00ea vai descobrir o que diz a lei de Beer-Lambert, qual \u00e9 sua f\u00f3rmula e para que serve essa lei qu\u00edmica. O que \u00e9 a lei Beer-Lambert? A lei Beer-Lambert , tamb\u00e9m chamada de lei de Beer ou lei Beer-Lambert-Bouguer , \u00e9 uma regra que &hellip;<\/p>\n<p class=\"read-more\"> <a class=\"\" href=\"https:\/\/physigeek.com\/pt\/lei-lambert-da-cerveja\/\"> <span class=\"screen-reader-text\">Lei da cerveja-lambert<\/span> Leia mais &raquo;<\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"","footnotes":""},"categories":[13],"tags":[],"class_list":["post-213","post","type-post","status-publish","format-standard","hentry","category-optico"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v21.4 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>\u25b7 O que \u00e9 a lei Beer-Lambert? (f\u00f3rmula e aplica\u00e7\u00f5es)<\/title>\n<meta name=\"description\" content=\"Aqui voc\u00ea encontrar\u00e1 o que diz a lei Beer-Lambert, a f\u00f3rmula da lei Beer-Lambert, para que serve a lei Beer-Lambert e quando ela \u00e9 aplicada.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/physigeek.com\/pt\/lei-lambert-da-cerveja\/\" \/>\n<meta property=\"og:locale\" content=\"pt_BR\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"\u25b7 O que \u00e9 a lei Beer-Lambert? 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