{"id":154373,"date":"2023-08-04T12:14:08","date_gmt":"2023-08-04T06:44:08","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=154373"},"modified":"2023-08-04T12:14:10","modified_gmt":"2023-08-04T06:44:10","slug":"consider-the-following-two-parallel-irreversible-first-order-reactions-at-temperature-t","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/consider-the-following-two-parallel-irreversible-first-order-reactions-at-temperature-t\/","title":{"rendered":"Consider the following two parallel irreversible first order reactions at temperature T"},"content":{"rendered":"\n<p>Q. Consider the following two parallel irreversible first order reactions at temperature T,<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"286\" height=\"179\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/08\/Screenshot-509.png\" alt=\"\" class=\"wp-image-154374\"\/><\/figure>\n\n\n\n<p>where \ud835\udc58<sub>1<\/sub>and \ud835\udc58<sub>2<\/sub> are the rate constants and their values are 5 \u00d7 10<sup>\u20132<\/sup> and 15 \u00d7 10<sup>\u20132<\/sup> min<sup>\u20131<\/sup>, respectively, at temperature T. If the initial concentration of the reactant \u2018<strong>P\u2019 <\/strong>is 4 mol L<sup>\u20131<\/sup>, then the concentration of product \u2018<strong>R\u2019 <\/strong>after 10 min of reaction is\u00a0__________mol L<sup>\u20131<\/sup>. (Round off to two decimal places)<\/p>\n\n\n\n<p>(Assume only <strong>P <\/strong>is present at the beginning of the reaction.)<\/p>\n\n\n\n<p>Ans: 2.50 &#8211; 2.65<\/p>\n\n\n\n<p>Solution:<\/p>\n\n\n\n<p>First Order Reaction is a chemical reaction in which the rate of the reaction is directly proportional to the concentration of one reactant. <\/p>\n\n\n\n<p>R\u00a0\u2192 P, ln [A] = -k t + ln [A0] <\/p>\n\n\n\n<p>Calculation:-\u00a0 <\/p>\n\n\n\n<p>[R]t\u00a0= k2\u00a0\/\u00a0k1\u00a0+ k2\u00a0 [P]o\u00a0(1 &#8211; e-<sup>1(k1+k2)t<\/sup>) \u21d2 <\/p>\n\n\n\n<p>[R]t\u00a0=\u00a0 15 x 10-2\u00a0min-1\u00a0\/ (5+15) x 10-2\u00a0min-1\u00a0 [4 mol L-1]\u00a0(1 &#8211; e<sup>-1(5+15)x 10-2\u00a0x10<\/sup>)\u00a0\u21d2 <\/p>\n\n\n\n<p>[R]t\u00a0= 3 (1 &#8211; e<sup>-20 x 1\/100 x 10)<\/sup>\u00a0\u21d2\u00a0 <\/p>\n\n\n\n<p>[R]t\u00a0= 2.59 mol L-1<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. Consider the following two parallel irreversible first order reactions at temperature T, where \ud835\udc581and \ud835\udc582 are the rate constants and their values are 5 \u00d7 10\u20132 and 15 \u00d7 10\u20132 min\u20131, respectively, at temperature T. If the initial concentration of the reactant \u2018P\u2019 is 4 mol L\u20131, then the concentration of product \u2018R\u2019 after [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":154375,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","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":"","ast-disable-related-posts":"","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":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-4)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[5141],"tags":[5140],"class_list":["post-154373","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-gate","tag-gate-questions"],"_links":{"self":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154373","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/users\/419"}],"replies":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/comments?post=154373"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154373\/revisions"}],"predecessor-version":[{"id":154376,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/154373\/revisions\/154376"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/154375"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=154373"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=154373"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=154373"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}