{"id":46101,"date":"2025-07-01T19:10:15","date_gmt":"2025-07-01T19:10:15","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=46101"},"modified":"2025-07-01T19:10:16","modified_gmt":"2025-07-01T19:10:16","slug":"what-values-of-delta-s-will-give-a-spontaneous-reaction-if-the-reaction-is-endothermic","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/what-values-of-delta-s-will-give-a-spontaneous-reaction-if-the-reaction-is-endothermic\/","title":{"rendered":"What values of delta S will give a spontaneous reaction if the reaction is endothermic"},"content":{"rendered":"\n<p class=\"wp-block-paragraph\">What values of delta S will give a spontaneous reaction if the reaction is endothermic? An endothermic reaction has a positive value for delta H. If delta S is negative and the product of T x delta S is large enough, then delta G will be negative and the reaction will proceed spontaneously. An endothermic reaction has a negative value for delta H. If delta S is positive and if T x delta S is large enough, then the reaction will be spontaneous. An endothermic reaction has a positive value for delta H. If delta S is positive, then the reaction may be spontaneous if -T x delta S is larger in a negative direction than delta H is in a positive direction.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\"><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p class=\"wp-block-paragraph\">To determine the conditions under which a reaction is spontaneous, we use the <strong>Gibbs free energy equation<\/strong>:\u0394G=\u0394H\u2212T\u0394S\\Delta G = \\Delta H &#8211; T\\Delta S\u0394G=\u0394H\u2212T\u0394S<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0394G\\Delta G\u0394G is the Gibbs free energy change.<\/li>\n\n\n\n<li>\u0394H\\Delta H\u0394H is the enthalpy change (heat absorbed or released).<\/li>\n\n\n\n<li>TTT is the temperature in Kelvin.<\/li>\n\n\n\n<li>\u0394S\\Delta S\u0394S is the entropy change.<\/li>\n<\/ul>\n\n\n\n<p class=\"wp-block-paragraph\">For a reaction to be spontaneous, \u0394G\\Delta G\u0394G must be negative (\u0394G&lt;0\\Delta G &lt; 0\u0394G&lt;0).<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Case 1: Endothermic Reaction (Positive \u0394H\\Delta H\u0394H)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">In an <strong>endothermic reaction<\/strong>, \u0394H\\Delta H\u0394H is positive, meaning the system absorbs heat from the surroundings. This alone doesn&#8217;t guarantee spontaneity, as \u0394G\\Delta G\u0394G will tend to be positive unless T\u0394ST \\Delta ST\u0394S can sufficiently counteract the positive \u0394H\\Delta H\u0394H.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Case 2: Negative \u0394S\\Delta S\u0394S (Decreasing Disorder)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If \u0394S\\Delta S\u0394S is negative, the reaction leads to a decrease in disorder. In this case, the term \u2212T\u0394S-T \\Delta S\u2212T\u0394S becomes positive. For spontaneity, T\u0394ST \\Delta ST\u0394S must be large enough in magnitude to make \u0394G\\Delta G\u0394G negative, meaning:\u0394H\u2212T\u0394S&lt;0\\Delta H &#8211; T \\Delta S &lt; 0\u0394H\u2212T\u0394S&lt;0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">This can happen when T\u0394ST \\Delta ST\u0394S is sufficiently large (at higher temperatures), but it is generally less likely because \u0394S\\Delta S\u0394S is negative.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Case 3: Positive \u0394S\\Delta S\u0394S (Increasing Disorder)<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">If \u0394S\\Delta S\u0394S is positive, the system becomes more disordered during the reaction. In this case, the term \u2212T\u0394S-T \\Delta S\u2212T\u0394S will be negative, and for spontaneity, the reaction will be more likely to occur if:\u0394H\u2212T\u0394S&lt;0\\Delta H &#8211; T \\Delta S &lt; 0\u0394H\u2212T\u0394S&lt;0<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">In this case, <strong>a positive \u0394S\\Delta S\u0394S can drive spontaneity<\/strong>, especially at higher temperatures, where the product T\u0394ST \\Delta ST\u0394S becomes large enough to overcome the positive \u0394H\\Delta H\u0394H.<\/p>\n\n\n\n<p class=\"wp-block-paragraph\">Thus, for an <strong>endothermic reaction<\/strong>, the reaction will be spontaneous if:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li><strong>At high temperatures<\/strong> and <strong>if \u0394S\\Delta S\u0394S is positive<\/strong>, the product T\u0394ST \\Delta ST\u0394S will likely outweigh the positive \u0394H\\Delta H\u0394H, resulting in a negative \u0394G\\Delta G\u0394G.<\/li>\n<\/ul>\n\n\n\n<h3 class=\"wp-block-heading\">Conclusion<\/h3>\n\n\n\n<p class=\"wp-block-paragraph\">For an endothermic reaction to be spontaneous:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>\u0394S\\Delta S\u0394S must be positive and the temperature must be high enough for the T\u0394ST \\Delta ST\u0394S term to be large enough to overcome the positive \u0394H\\Delta H\u0394H.<\/li>\n<\/ul>\n\n\n\n<figure class=\"wp-block-image size-full\"><img loading=\"lazy\" decoding=\"async\" width=\"1024\" height=\"1024\" src=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-100.jpeg\" alt=\"\" class=\"wp-image-46102\" srcset=\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-100.jpeg 1024w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-100-300x300.jpeg 300w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-100-150x150.jpeg 150w, https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/07\/learnexams-banner5-100-768x768.jpeg 768w\" sizes=\"auto, (max-width: 1024px) 100vw, 1024px\" \/><\/figure>\n","protected":false},"excerpt":{"rendered":"<p>What values of delta S will give a spontaneous reaction if the reaction is endothermic? An endothermic reaction has a positive value for delta H. If delta S is negative and the product of T x delta S is large enough, then delta G will be negative and the reaction will proceed spontaneously. An endothermic [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-46101","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46101","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=46101"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46101\/revisions"}],"predecessor-version":[{"id":46103,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/46101\/revisions\/46103"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=46101"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=46101"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=46101"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}