{"id":205727,"date":"2025-03-25T10:56:34","date_gmt":"2025-03-25T10:56:34","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=205727"},"modified":"2025-03-25T10:56:36","modified_gmt":"2025-03-25T10:56:36","slug":"a-reaction-has-a-rate-constant-of-0-36x10-2s-1-at-22c-and-a-rate-constant-of-0-36-x-102-s-1-at-210c","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2025\/03\/25\/a-reaction-has-a-rate-constant-of-0-36x10-2s-1-at-22c-and-a-rate-constant-of-0-36-x-102-s-1-at-210c\/","title":{"rendered":"A reaction has a rate constant of 0.36&#215;10-2s-1 at 22\u00b0C, and a rate constant of 0.36 x 10+2 s-1 at 210\u00b0C"},"content":{"rendered":"\n<p>A reaction has a rate constant of 0.36&#215;10-2s-1 at 22\u00b0C, and a rate constant of 0.36 x 10+2 s-1 at 210\u00b0C. What is the activation energy? 13) A) 114kJ\/mol B) 32.5kJ\/mol C) 56.6 kJ\/mol D) 1.83 kJ\/mol E) 18.1 kJ\/mol<\/p>\n\n\n\n<p>Long-term memory occurs<\/p>\n\n\n\n<p>when exceptionally strong action potentials occur<br>when neurons are permanently changed<br>in the limbic system<br>in the cerebellum<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\"><strong>The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Activation Energy Calculation<\/h3>\n\n\n\n<p>To determine the activation energy ((E_a)) of the reaction, we use the <strong>Arrhenius equation<\/strong> in its logarithmic form:<\/p>\n\n\n\n<p>[<br>\\ln \\left( \\frac{k_2}{k_1} \\right) = \\frac{E_a}{R} \\left( \\frac{1}{T_1} &#8211; \\frac{1}{T_2} \\right)<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>( k_1 = 0.36 \\times 10^{-2} \\, s^{-1} ) at ( T_1 = 22^\\circ C = 295K )<\/li>\n\n\n\n<li>( k_2 = 0.36 \\times 10^{2} \\, s^{-1} ) at ( T_2 = 210^\\circ C = 483K )<\/li>\n\n\n\n<li>( R = 8.314 \\, J\/(mol \\cdot K) )<\/li>\n<\/ul>\n\n\n\n<p>Substituting the values:<\/p>\n\n\n\n<p>[<br>\\ln \\left( \\frac{0.36 \\times 10^2}{0.36 \\times 10^{-2}} \\right) = \\frac{E_a}{8.314} \\left( \\frac{1}{295} &#8211; \\frac{1}{483} \\right)<br>]<\/p>\n\n\n\n<p>[<br>\\ln (10^4) = \\frac{E_a}{8.314} \\left( \\frac{1}{295} &#8211; \\frac{1}{483} \\right)<br>]<\/p>\n\n\n\n<p>[<br>9.21 = \\frac{E_a}{8.314} \\times (0.00339 &#8211; 0.00207)<br>]<\/p>\n\n\n\n<p>[<br>9.21 = \\frac{E_a}{8.314} \\times 0.00132<br>]<\/p>\n\n\n\n<p>Solving for ( E_a ):<\/p>\n\n\n\n<p>[<br>E_a = \\frac{9.21 \\times 8.314}{0.00132} = 114,000 \\, J\/mol = 114 \\, kJ\/mol<br>]<\/p>\n\n\n\n<p>So, the correct answer is:<br><strong>A) 114 kJ\/mol<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\">Long-Term Memory Formation<\/h3>\n\n\n\n<p><strong>Correct answer:<\/strong> <strong>&#8220;when neurons are permanently changed.&#8221;<\/strong><\/p>\n\n\n\n<p>Long-term memory (LTM) occurs when <strong>neurons undergo lasting structural and functional changes<\/strong> that enable the retention of information over long periods. This process involves <strong>synaptic plasticity<\/strong>, where synapses strengthen or weaken in response to activity.<\/p>\n\n\n\n<h4 class=\"wp-block-heading\">Mechanisms of Long-Term Memory Formation:<\/h4>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Synaptic Changes<\/strong> \u2013 Long-term potentiation (LTP) strengthens synaptic connections between neurons, making future transmission easier.<\/li>\n\n\n\n<li><strong>Protein Synthesis<\/strong> \u2013 New proteins are required to stabilize synaptic changes, supporting lasting memories.<\/li>\n\n\n\n<li><strong>Neurogenesis &amp; Dendritic Growth<\/strong> \u2013 Structural changes occur in neurons, including the growth of new dendritic spines.<\/li>\n\n\n\n<li><strong>Hippocampus &amp; Cortex<\/strong> \u2013 Memory formation involves the hippocampus initially, but over time, memories are stored in the cerebral cortex.<\/li>\n<\/ol>\n\n\n\n<p>This process differs from short-term memory, which relies on temporary electrical activity rather than lasting neural changes.<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" src=\"https:\/\/learnexams.com\/blog\/wp-content\/uploads\/2025\/03\/image-1396.png\" alt=\"\" class=\"wp-image-205728\"\/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>A reaction has a rate constant of 0.36&#215;10-2s-1 at 22\u00b0C, and a rate constant of 0.36 x 10+2 s-1 at 210\u00b0C. What is the activation energy? 13) A) 114kJ\/mol B) 32.5kJ\/mol C) 56.6 kJ\/mol D) 1.83 kJ\/mol E) 18.1 kJ\/mol Long-term memory occurs when exceptionally strong action potentials occurwhen neurons are permanently changedin the limbic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","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-5)","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-5)","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-5)","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":[25],"tags":[],"class_list":["post-205727","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205727","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=205727"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/205727\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=205727"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=205727"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=205727"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}