{"id":139101,"date":"2025-05-16T19:22:21","date_gmt":"2025-05-16T22:22:21","guid":{"rendered":"https:\/\/vestibulares.estrategia.com\/portal\/?p=139101"},"modified":"2025-06-17T14:35:41","modified_gmt":"2025-06-17T17:35:41","slug":"mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao","status":"publish","type":"post","link":"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/","title":{"rendered":"Mistura de solu\u00e7\u00f5es de mesmo soluto: f\u00f3rmulas e defini\u00e7\u00e3o"},"content":{"rendered":"<p class=\"wp-block-paragraph\"><span id=\"urn:local-annotation-696033\" class=\"textannotation disambiguated\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/misturas-de-solucoes-de-mesmo-soluto\">Misturas de solu&ccedil;&otilde;es de mesmo soluto<\/span> s&atilde;o realizadas no cotidiano e em laborat&oacute;rios, geralmente, com a finalidade de alterarmos a <span id=\"urn:enhancement-1a23539a-7f23-4cd2-afdc-d22b0aca388d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> ou o <span id=\"urn:enhancement-15f12a41-5743-4b7e-967b-02ffe89d6ab2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span> da <span id=\"urn:enhancement-782e7225-e3cc-4693-82f7-6021f28e03a5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span>. Um bom exemplo &eacute; uma mistura de jarras de suco de uma mesma fruta.&nbsp;<p class=\"wp-block-paragraph\">Essa e outras misturas de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-19b7fd63-6b14-443e-a62c-e3e345489017\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> costumam ser abordadas nas quest&otilde;es do <span id=\"urn:enhancement-282d8343-7f9b-4a92-a247-836147a47119\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/exame-nacional-do-ensino-medio-2\">Enem<\/span> e vestibulares com o intuito de calcularmos a <span id=\"urn:enhancement-dc67ec18-69c4-462a-908e-5093e71b7257\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span>, <span id=\"urn:enhancement-dad5529f-e749-47fe-8546-1da398a8d57a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span>, <span id=\"urn:enhancement-535b42a9-5d78-42e5-aebd-84a05633f920\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> ou outras caracter&iacute;sticas da mistura final. Este artigo traz explica&ccedil;&otilde;es sobre as principais propriedades relacionadas ao assunto. Leia o texto e fique por dentro de tudo. Vamos l&aacute;?<\/p><p class=\"wp-block-paragraph\"><div class=\"cta-medio\" style=\"background-image: url(https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2024\/08\/curso-enem-1-estrategia-vestibulares-ctamedio.jpg);\"><h3>Pacote Enem TOP <\/h3> <p>Estude com o Estrat\u00e9gia Vestibulares<\/p><div class=\"cta-botao\"><a id=\"cta-medio\" href=\"https:\/\/vestibulares.estrategia.com\/curso\/enem-top\/\" target=\"_blank\" style=\"background:rgb(255,150,0)\">Saiba mais<\/a><\/div><\/div>\n\n\n\n<\/p><div id=\"ez-toc-container\" class=\"ez-toc-v2_0_86 counter-hierarchy ez-toc-counter ez-toc-transparent ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\"><p class=\"ez-toc-title\" style=\"cursor:inherit\">Navegue pelo conte\u00fado<\/p>\n<\/div><nav><ul class='ez-toc-list ez-toc-list-level-1 ' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#O-que-e-uma-solucao\" >O que &eacute; uma solu&ccedil;&atilde;o?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Mistura-de-solucoes-de-mesmo-soluto\" >Mistura de solu&ccedil;&otilde;es de mesmo soluto<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Casos-particulares-de-mistura-de-solucoes-de-mesmo-soluto\" >Casos particulares de mistura de solu&ccedil;&otilde;es de mesmo soluto<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Concentracao-das-solucoes\" >Concentra&ccedil;&atilde;o das solu&ccedil;&otilde;es<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Aplicacoes-das-misturas-de-solucoes-de-mesmo-soluto\" >Aplica&ccedil;&otilde;es das misturas de solu&ccedil;&otilde;es de mesmo soluto<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Assista-a-aula-gratuita-do-Estrategia-Vestibulares\" >Assista &agrave; aula gratuita do Estrat&eacute;gia Vestibulares<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/mistura-de-solucoes-de-mesmo-soluto-formulas-e-definicao\/#Seja-aluno-do-Estrategia-Vestibulares\" >Seja aluno do Estrat&eacute;gia Vestibulares<\/a><\/li><\/ul><\/nav><\/div>\n<h2 class=\"wp-block-heading\" id=\"h-o-que-e-uma-solucao\"><span class=\"ez-toc-section\" id=\"O-que-e-uma-solucao\"><\/span>O que &eacute; uma solu&ccedil;&atilde;o?<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Uma <span id=\"urn:enhancement-11753794-f2c8-4736-9c56-1f7c076a8ab1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span> &eacute; uma mistura homog&ecirc;nea de duas ou mais <span id=\"urn:enhancement-6200e3a1-efe8-4e4d-b0d1-248e4541d907\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/substancia\">subst&acirc;ncias<\/span>. A <span id=\"urn:enhancement-0ce8ac5d-4f09-41b3-bdd5-467de7635351\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/substancia\">subst&acirc;ncia<\/span> presente em maior quantidade &eacute; denominada <span id=\"urn:enhancement-9cd1faeb-9638-4993-a738-d5adb142720f\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>, enquanto as <span id=\"urn:enhancement-46ec54c9-f989-444e-aecb-a431c156fce7\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/substancia\">subst&acirc;ncias<\/span> presentes em quantidades menores s&atilde;o denominadas solventes.&nbsp;<\/p><p class=\"wp-block-paragraph\">Essas misturas est&atilde;o presentes em muitos aspectos do nosso dia a dia. Desde os rem&eacute;dios que usamos at&eacute; as bebidas que ingerimos e o ar que respiramos, todos envolvem solu&ccedil;&otilde;es.<\/p><p class=\"wp-block-paragraph\">As solu&ccedil;&otilde;es podem ser classificadas de acordo com o estado f&iacute;sico em que se encontram em: solu&ccedil;&otilde;es s&oacute;lidas, como nas ligas met&aacute;licas; solu&ccedil;&otilde;es l&iacute;quidas, como o soro <span id=\"urn:enhancement-fc74b829-a7e6-4c2a-aa19-a91d1a98c4e5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/fisiologia\">fisiol&oacute;gico<\/span>; e solu&ccedil;&otilde;es gasosas, como o ar que respiramos.<\/p><p class=\"wp-block-paragraph\">Veja tamb&eacute;m:&nbsp;<br><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/quimica-geral\/\" target=\"_blank\">+ Qu&iacute;mica geral: o que &eacute; e principais assuntos<\/a><\/p><h2 class=\"wp-block-heading\" id=\"h-mistura-de-solucoes-de-mesmo-soluto\"><span class=\"ez-toc-section\" id=\"Mistura-de-solucoes-de-mesmo-soluto\"><\/span>Mistura de solu&ccedil;&otilde;es de mesmo soluto<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Em uma mistura de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-744923f6-3936-441b-b2f1-bfc3615d7958\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>, as <span id=\"urn:enhancement-1aa33415-0d31-4bef-a19e-143dae03f940\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/substancia\">subst&acirc;ncias<\/span> envolvidas ser&atilde;o as mesmas, por isso <strong>n&atilde;o h&aacute; rea&ccedil;&otilde;es qu&iacute;micas<\/strong>. No entanto, a <span id=\"urn:enhancement-b7671dbf-b587-4f1c-a66a-102e14eae6aa\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> do <span id=\"urn:enhancement-2c6dfb7f-395e-4b0e-b02d-5f7d15ce4f81\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> pode sofrer altera&ccedil;&otilde;es, caso as solu&ccedil;&otilde;es envolvidas na mistura apresentem concentra&ccedil;&otilde;es iniciais distintas.&nbsp;<\/p><p class=\"wp-block-paragraph\">Dessa maneira, a <span id=\"urn:enhancement-f2f5e626-515c-4608-88c4-2c9d017371c4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> total do <span id=\"urn:enhancement-d9733f4c-f386-4852-90c4-7085747b3651\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> ser&aacute; igual &agrave; soma dos conte&uacute;dos de <span id=\"urn:enhancement-3a702a38-8fdf-4fc6-827c-f2fd15b805af\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> presentes nas solu&ccedil;&otilde;es iniciais. Esse &eacute; o princ&iacute;pio fundamental da conserva&ccedil;&atilde;o da <span id=\"urn:enhancement-d9930691-7074-4481-8d39-0e38aa3ca371\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span>, v&aacute;lido desde que n&atilde;o haja rea&ccedil;&atilde;o qu&iacute;mica ou perda de material. Por conseguinte, a mesma rela&ccedil;&atilde;o &eacute; v&aacute;lida para o n&uacute;mero de mols e, <strong>quase sempre<\/strong>, para o <span id=\"urn:enhancement-e7204b9d-aaac-4bff-8ca7-0014d6b69315\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span>.<\/p><h2 class=\"wp-block-heading\" id=\"h-casos-particulares-de-mistura-de-solucoes-de-mesmo-soluto\"><span class=\"ez-toc-section\" id=\"Casos-particulares-de-mistura-de-solucoes-de-mesmo-soluto\"><\/span>Casos particulares de mistura de solu&ccedil;&otilde;es de mesmo soluto<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-volumes-nao-aditivos\">Volumes n&atilde;o aditivos<\/h3><p class=\"wp-block-paragraph\">Quando misturamos duas ou mais solu&ccedil;&otilde;es que cont&ecirc;m o mesmo <span id=\"urn:enhancement-5cebf31f-95de-4a88-821a-08cec04731fb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>, estamos unindo <span id=\"urn:enhancement-421c89be-ca26-4652-a0bc-b90141d374b4\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/substancia\">subst&acirc;ncias<\/span> que j&aacute; est&atilde;o dissolvidas em solvente, normalmente a &aacute;gua. Em muitos exerc&iacute;cios de <span id=\"urn:enhancement-6e20f810-fe06-4d28-b68a-a94e1c986cc5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/quimica\">qu&iacute;mica<\/span> para vestibular, a simplifica&ccedil;&atilde;o &eacute; v&aacute;lida: soma-se os volumes diretamente.<\/p><p class=\"wp-block-paragraph\">No entanto, na pr&aacute;tica, pode acontecer de o <span id=\"urn:enhancement-33253922-3d79-4161-8dcc-2a3204d7984c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span> final ser menor que a soma dos volumes. Esse fen&ocirc;meno se chama contra&ccedil;&atilde;o de <span id=\"urn:enhancement-2da000a4-3995-489e-bd15-7e47490bca05\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span>, e ocorre por causa das <a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/interacoes-intermoleculares\/\" target=\"_blank\">intera&ccedil;&otilde;es entre as part&iacute;culas<\/a> dos l&iacute;quidos envolvidos.<\/p><h3 class=\"wp-block-heading\" id=\"h-solucoes-com-concentracoes-muito-diferentes\">Solu&ccedil;&otilde;es com concentra&ccedil;&otilde;es muito diferentes<\/h3><p class=\"wp-block-paragraph\">&Eacute; importante entender que, quando misturamos uma <span id=\"urn:enhancement-82b6978b-7c14-4a25-adb5-802e45564f20\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span> muito concentrada com uma muito dilu&iacute;da, a <span id=\"urn:enhancement-93f475b1-e1ba-4000-b929-4d532445e182\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> final ficar&aacute; entre as duas &mdash; mais pr&oacute;xima daquela presente em maior <span id=\"urn:enhancement-dfe99c6b-1c55-4943-a535-101403a1fcce\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span>.<\/p><h2 class=\"wp-block-heading\" id=\"h-concentracao-das-solucoes\"><span class=\"ez-toc-section\" id=\"Concentracao-das-solucoes\"><\/span>Concentra&ccedil;&atilde;o das solu&ccedil;&otilde;es<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Quando h&aacute; a mistura de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-5c2f570c-0f98-49cd-a676-09b356d6ce6c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>, as concentra&ccedil;&otilde;es finais podem ter altera&ccedil;&otilde;es importantes. Nesses casos, o c&aacute;lculo da <span id=\"urn:enhancement-232119e9-748f-4462-bec7-d115687d76d9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> pode ser realizado de diversas maneiras, dependendo das grandezas utilizadas na quest&atilde;o. Veja, abaixo, um resumo dos principais tipos de <span id=\"urn:enhancement-242075ca-0e0f-41b6-8b0f-5fcbc1caeff5\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span>:<\/p><ul class=\"wp-block-list\">\n<li><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/concentracao-comum-definicao-como-calcular-e-aplicacoes\/\" target=\"_blank\"><strong>Concentra&ccedil;&atilde;o comum<\/strong><\/a><strong> ou concentra&ccedil;&atilde;o em massa<\/strong>: raz&atilde;o entre a massa soluto e o volume da solu&ccedil;&atilde;o (g\/L).\n<ul class=\"wp-block-list\">\n<li><strong>C = m<\/strong><strong><sub>1<\/sub><\/strong><strong>\/V<\/strong> = massa do soluto\/volume da solu&ccedil;&atilde;o&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>Concentra&ccedil;&atilde;o molar ou <\/strong><a href=\"https:\/\/vestibulares.estrategia.com\/portal\/materias\/quimica\/concentracao-em-quantidade-de-materia-concentracao-em-volume\/\" target=\"_blank\"><strong>molaridade<\/strong><\/a>: raz&atilde;o entre a quantidade mols de soluto e o volume da solu&ccedil;&atilde;o (mol\/L).\n<ul class=\"wp-block-list\">\n<li><strong>M = n<\/strong><strong><sub>1<\/sub><\/strong><strong>\/V<\/strong> = n&uacute;mero de mols do soluto\/volume da solu&ccedil;&atilde;o&nbsp;<\/li>\n<\/ul>\n<\/li>\n\n\n\n<li><strong>T&iacute;tulo ou porcentagem em massa<\/strong>: raz&atilde;o entre a massa do soluto e a massa da solu&ccedil;&atilde;o, esse valor pode ser multiplicado por 100 para descobrirmos o percentual de soluto (em massa) presente na solu&ccedil;&atilde;o.\n<ul class=\"wp-block-list\">\n<li><strong>% (m\/m) = m<\/strong><strong><sub>1<\/sub><\/strong><strong>\/m x 100 <\/strong>=<strong> <\/strong>(massa de soluto) \/ (massa de solu&ccedil;&atilde;o) x 100&nbsp;<\/li>\n<\/ul>\n<\/li>\n<\/ul><h3 class=\"wp-block-heading\" id=\"h-formula-da-concentracao-comum-ou-concentracao-em-massa-de-misturas-de-solucoes-de-mesmo-soluto\">F&oacute;rmula da concentra&ccedil;&atilde;o comum (ou concentra&ccedil;&atilde;o em massa) de misturas de solu&ccedil;&otilde;es de mesmo soluto<\/h3><p class=\"wp-block-paragraph\">Para descobrirmos a f&oacute;rmula da <span id=\"urn:enhancement-44ca74b8-2721-4f9e-9b66-e6b7f24b08cc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> finais de misturas de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-da90955f-ddc2-4c53-b2eb-c0c5fd2ec544\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>, devemos levar em considera&ccedil;&atilde;o o princ&iacute;pio da conserva&ccedil;&atilde;o da <span id=\"urn:enhancement-801d4eb3-0938-401e-a0bc-bdeb71aff2c0\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> do <span id=\"urn:enhancement-55bfa93b-15ca-4f68-9b55-9cd61900478d\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>:<\/p><p class=\"has-text-align-center wp-block-paragraph\">m<sub>f<\/sub> = m<sub>1<\/sub> + m<sub>2<\/sub><\/p><p class=\"wp-block-paragraph\">Com isso, podemos deduzir as f&oacute;rmulas da <span id=\"urn:enhancement-fca01d56-0caa-4550-9d9c-f7a4457b1583\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao-comum\">concentra&ccedil;&atilde;o comum<\/span> (<span id=\"urn:enhancement-83e3539a-3b09-41b2-8ee2-180574f1dfdc\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> em <span id=\"urn:enhancement-53232d09-a7f8-461d-87f1-a121c98085c1\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span>) da mistura final.<\/p><p class=\"wp-block-paragraph\">Sabendo que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">m<sub>1<\/sub> + m<sub>2<\/sub> = m<sub>f<\/sub><\/p><p class=\"has-text-align-center wp-block-paragraph\">e<\/p><p class=\"has-text-align-center wp-block-paragraph\">C = m\/V &rarr; m = C&middot;V<\/p><p class=\"wp-block-paragraph\">Substituindo m por C&middot;V:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>C<\/strong><strong><sub>1<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>1<\/sub><\/strong><strong> + C<\/strong><strong><sub>2<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>2<\/sub><\/strong><strong> = C<\/strong><strong><sub>f<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>f<\/sub><\/strong><\/p><ul class=\"wp-block-list\">\n<li><strong>C<\/strong><strong><sub>1<\/sub><\/strong> e<strong> V<\/strong><strong><sub>1<\/sub><\/strong>: concentra&ccedil;&atilde;o comum e volume da <strong>1&ordf; solu&ccedil;&atilde;o<\/strong>;<\/li>\n\n\n\n<li><strong>C<\/strong><strong><sub>2<\/sub><\/strong> e<strong> V<\/strong><strong><sub>2<\/sub><\/strong>: concentra&ccedil;&atilde;o comum e volume da <strong>2&ordf; solu&ccedil;&atilde;o<\/strong>; e<\/li>\n\n\n\n<li><strong>C<\/strong><strong><sub>f<\/sub><\/strong> e<strong> V<\/strong><strong><sub>f<\/sub><\/strong>: concentra&ccedil;&atilde;o comum e volume da <strong>solu&ccedil;&atilde;o<\/strong> <strong>final<\/strong>.<\/li>\n<\/ul><h3 class=\"wp-block-heading\" id=\"h-formula-da-concentracao-molar-de-misturas-de-solucoes-de-mesmo-soluto\">F&oacute;rmula da concentra&ccedil;&atilde;o molar de misturas de solu&ccedil;&otilde;es de mesmo soluto<\/h3><p class=\"wp-block-paragraph\">Sabendo que o n&uacute;mero de mols de <span id=\"urn:enhancement-45548dce-7714-4fa8-9dba-26962138f045\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> final ser&aacute; igual &agrave; soma do n&uacute;mero de mols de <span id=\"urn:enhancement-136146d2-e208-4216-bd36-bbeb09c6d117\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> das solu&ccedil;&otilde;es iniciais:<\/p><p class=\"has-text-align-center wp-block-paragraph\">n<sub>1<\/sub> + n<sub>2<\/sub> = n<sub>f<\/sub><\/p><p class=\"has-text-align-center wp-block-paragraph\">e<\/p><p class=\"has-text-align-center wp-block-paragraph\">M = n\/V &rarr; n = M&middot;V<\/p><p class=\"has-text-align-left wp-block-paragraph\">e substituindo n por M&middot;V, temos:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>M<\/strong><strong><sub>1<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>1<\/sub><\/strong><strong> + M<\/strong><strong><sub>2<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>2<\/sub><\/strong><strong> = M<\/strong><strong><sub>f<\/sub><\/strong><strong> &middot; V<\/strong><strong><sub>f<\/sub><\/strong><\/p><ul class=\"wp-block-list\">\n<li><strong>M<\/strong><strong><sub>1<\/sub><\/strong><strong> <\/strong>e <strong>V<\/strong><strong><sub>1<\/sub><\/strong>: concentra&ccedil;&atilde;o molar e volume da <strong>1&ordf; <\/strong><strong>solu&ccedil;&atilde;o<\/strong>;<\/li>\n\n\n\n<li><strong>M<\/strong><strong><sub>2<\/sub><\/strong><strong> <\/strong>e <strong>V<\/strong><strong><sub>2<\/sub><\/strong>: concentra&ccedil;&atilde;o molar e volume da <strong>2&ordf; <\/strong><strong>solu&ccedil;&atilde;o<\/strong>; e<\/li>\n\n\n\n<li><strong>M<\/strong><strong><sub>f<\/sub><\/strong><strong> <\/strong>e <strong>V<\/strong><strong><sub>f<\/sub><\/strong>: concentra&ccedil;&atilde;o molar e volume da<strong> <\/strong><strong>solu&ccedil;&atilde;o final<\/strong>.<\/li>\n<\/ul><h3 class=\"wp-block-heading\" id=\"h-formula-do-titulo-em-massa-de-misturas-de-solucoes-de-mesmo-soluto\">F&oacute;rmula do t&iacute;tulo em massa de misturas de solu&ccedil;&otilde;es de mesmo soluto<\/h3><p class=\"wp-block-paragraph\">Perceba que o <strong><span id=\"urn:enhancement-c436f10a-db0d-4be6-8bd6-281ac9d64406\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/volume\">volume<\/span> final ser&aacute; igual &agrave; soma dos volumes iniciais<\/strong>. Com isso, podemos encontrar uma f&oacute;rmula para o <strong>t&iacute;tulo ou porcentagem em <span id=\"urn:enhancement-eb196401-126e-441c-8877-95b52d94b017\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span><\/strong> da mistura final.<\/p><p class=\"wp-block-paragraph\">Sabemos que:<\/p><p class=\"has-text-align-center wp-block-paragraph\">m<sub>f<\/sub> = m<sub>1<\/sub> + m<sub>2<\/sub><\/p><p class=\"has-text-align-center wp-block-paragraph\">e<\/p><p class=\"has-text-align-center wp-block-paragraph\">&tau; = m<sub><span id=\"urn:enhancement-66861f40-97dd-4c2c-aea6-1c68060cc8ef\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span><\/sub>\/m<sub><span id=\"urn:enhancement-55abc316-e4ea-4260-9021-1a5111cffa46\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span><\/sub><\/p><p class=\"wp-block-paragraph\">Substituindo &ldquo;m<sub><span id=\"urn:enhancement-c2031d10-bf25-46b7-bc8e-59e35686d8f2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span><\/sub>&rdquo; por &ldquo;&tau; &middot; m<sub><span id=\"urn:enhancement-0bae5661-b54c-47d5-a9bf-391f870a26d9\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span><\/sub>&ldquo;, temos:<\/p><p class=\"has-text-align-center wp-block-paragraph\"><strong>&tau;<sub>1<\/sub> &middot; m<sub>1<\/sub> + &tau;<sub>2<\/sub> &middot; m<sub>2<\/sub> = &tau;<sub>f<\/sub> &middot; m<sub>f<\/sub><\/strong><\/p><ul class=\"wp-block-list\">\n<li><strong>&tau;<sub>1<\/sub> <\/strong>e <strong>m<sub>1<\/sub><\/strong>: t&iacute;tulo em massa e massa da <strong>1&ordf; solu&ccedil;&atilde;o<\/strong>;<\/li>\n\n\n\n<li><strong>&tau;<sub>2<\/sub> <\/strong>e <strong>m<sub>2<\/sub><\/strong>: t&iacute;tulo em massa e massa da <strong>2&ordf; solu&ccedil;&atilde;o<\/strong>; e<\/li>\n\n\n\n<li><strong>&tau;<sub>f<\/sub> <\/strong>e<strong> m<sub>f<\/sub><\/strong>: t&iacute;tulo em massa e massa da <strong>solu&ccedil;&atilde;o final<\/strong>.<\/li>\n<\/ul><p class=\"wp-block-paragraph\"><strong>Importante<\/strong>: Observe que, na f&oacute;rmula do t&iacute;tulo em <span id=\"urn:enhancement-9a7216be-1675-453f-943d-e88463eef171\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> final, utilizamos a <span id=\"urn:enhancement-c8da2305-a5c3-4fab-a9c0-2f43093b5dbb\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> da <span id=\"urn:enhancement-a105b1a1-438b-423f-a193-09efd5155f48\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span> e n&atilde;o a <span id=\"urn:enhancement-112e3960-b375-4fbd-946f-c0353727712c\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/massa\">massa<\/span> do solvente.<\/p><h2 class=\"wp-block-heading\" id=\"h-aplicacoes-das-misturas-de-solucoes-de-mesmo-soluto\"><span class=\"ez-toc-section\" id=\"Aplicacoes-das-misturas-de-solucoes-de-mesmo-soluto\"><\/span>Aplica&ccedil;&otilde;es das misturas de solu&ccedil;&otilde;es de mesmo soluto<span class=\"ez-toc-section-end\"><\/span><\/h2><h3 class=\"wp-block-heading\" id=\"h-dosagem-de-principios-ativos\">Dosagem de princ&iacute;pios ativos<\/h3><p class=\"wp-block-paragraph\">Muitas vezes, &eacute; necess&aacute;rio preparar uma <span id=\"urn:enhancement-0e1d6b70-5785-489d-a57f-ced0db3ee7cd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/solucao\">solu&ccedil;&atilde;o<\/span> com uma <span id=\"urn:enhancement-e58e121d-faa5-4650-ac38-9e2a0d7dd3b2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/concentracao\">concentra&ccedil;&atilde;o<\/span> exata do princ&iacute;pio ativo (como paracetamol ou antibi&oacute;ticos). Isso pode ser feito misturando solu&ccedil;&otilde;es com concentra&ccedil;&otilde;es diferentes, para ajustar a dose ideal para um paciente ou lote.<\/p><h3 class=\"wp-block-heading\" id=\"h-mistura-de-sucos\">Mistura de sucos<\/h3><p class=\"wp-block-paragraph\">Ao misturar sucos de mesma fruta com diferentes concentra&ccedil;&otilde;es, voc&ecirc; est&aacute; aplicando a l&oacute;gica de misturas de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-affd3cbc-be47-480b-b497-e5adf47ba4a2\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span>.<\/p><h3 class=\"wp-block-heading\" id=\"h-solucoes-de-limpeza\">Solu&ccedil;&otilde;es de limpeza<\/h3><p class=\"wp-block-paragraph\">Produtos de limpeza como desinfetantes e &aacute;gua sanit&aacute;ria muitas vezes precisam ser dilu&iacute;dos para uso. &Agrave;s vezes, misturam-se produtos com diferentes concentra&ccedil;&otilde;es para obter uma for&ccedil;a intermedi&aacute;ria.<\/p><h2 class=\"wp-block-heading\" id=\"h-assista-a-aula-gratuita-do-estrategia-vestibulares\"><span class=\"ez-toc-section\" id=\"Assista-a-aula-gratuita-do-Estrategia-Vestibulares\"><\/span>Assista &agrave; aula gratuita do Estrat&eacute;gia Vestibulares<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">J&aacute; vimos como as misturas de solu&ccedil;&otilde;es de mesmo <span id=\"urn:enhancement-1094817b-fac2-4ac8-a377-1d6363f8c62a\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/soluto\">soluto<\/span> possuem diversos desdobramentos que podem ser assuntos das quest&otilde;es do <span id=\"urn:enhancement-c1be6664-0ffb-475a-8f64-1ecb2ab56b40\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/exame-nacional-do-ensino-medio-2\">Enem<\/span> e vestibulares. Por&eacute;m, s&atilde;o muitos detalhes e pode ter ficado alguma d&uacute;vida. Assista &agrave; aula gratuita abaixo, do professor Guilherme Alves, para compreender melhor o tema:<\/p><figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\"><div class=\"wp-block-embed__wrapper\">\n<div class=\"cs-embed cs-embed-responsive\"><iframe title=\"Dilui&ccedil;&atilde;o, Mistura de Solu&ccedil;&otilde;es Que N&atilde;o Reagem e Mistura de Solu&ccedil;&otilde;es Que Reagem- Prof. Guilherme Alves\" width=\"1200\" height=\"675\" src=\"https:\/\/www.youtube.com\/embed\/1OhODx8OPBo?start=857&amp;feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe><\/div>\n<\/div><\/figure><h2 class=\"wp-block-heading\" id=\"h-seja-aluno-do-estrategia-vestibulares\"><span class=\"ez-toc-section\" id=\"Seja-aluno-do-Estrategia-Vestibulares\"><\/span>Seja aluno do Estrat&eacute;gia Vestibulares<span class=\"ez-toc-section-end\"><\/span><\/h2><p class=\"wp-block-paragraph\">Com a coruja, voc&ecirc; ter&aacute; acesso aos conte&uacute;dos das provas de maneira completa e did&aacute;tica. Tudo isso &eacute; fornecido por meio de aulas ministradas por professores especialistas, al&eacute;m de acesso a <span id=\"urn:enhancement-13cf76d7-640f-437b-a05a-abcfc9418cfd\" class=\"textannotation disambiguated wl-thing\" itemid=\"https:\/\/data.wordlift.io\/wl110249\/entity\/material\">materiais<\/span> did&aacute;ticos dispon&iacute;veis em diversos formatos (PDF, v&iacute;deo, &aacute;udio e etc). Seu &uacute;nico trabalho ser&aacute; estudar, porque o resto a gente resolve! Clique no banner e estude conosco!<\/p><p class=\"wp-block-paragraph\"><a id=\"cta\" class=\"cta-imagem\" href=\"https:\/\/vestibulares.estrategia.com\/cursos\/\" target=\"blank\">\n                <img decoding=\"async\" width=\"100%\" src=\"https:\/\/vestibulares.estrategia.com\/portal\/wp-content\/uploads\/2025\/07\/ESTRATEGIA.jpg\" alt=\"\" title=\"ESTRAT\u00c9GIA\">\n        <\/a>\n\n\n<\/p><\/p>\n","protected":false},"excerpt":{"rendered":"Aprenda a defini\u00e7\u00e3o, f\u00f3rmulas e algumas aplica\u00e7\u00f5es cotidianas envolvendo misturas de solu\u00e7\u00f5es de mesmo soluto\n","protected":false},"author":58,"featured_media":139106,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[38],"tags":[],"class_list":["post-139101","post","type-post","status-publish","format-standard","has-post-thumbnail","category-quimica"],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO 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