{"id":18609,"date":"2025-06-13T07:49:08","date_gmt":"2025-06-13T07:49:08","guid":{"rendered":"https:\/\/gaviki.com\/blog\/?p=18609"},"modified":"2025-06-13T07:49:09","modified_gmt":"2025-06-13T07:49:09","slug":"clausius-statement-of-second-law-states-that-a-heat-engine-cannot-operate-in-a-cycle-by-exchanging-heat-with-only-one-heat-source","status":"publish","type":"post","link":"https:\/\/gaviki.com\/blog\/clausius-statement-of-second-law-states-that-a-heat-engine-cannot-operate-in-a-cycle-by-exchanging-heat-with-only-one-heat-source\/","title":{"rendered":"Clausius Statement of second law states that a heat engine cannot operate in a cycle by exchanging heat with only one heat source"},"content":{"rendered":"\n<p>Clausius Statement of second law states that a heat engine cannot operate in a cycle by exchanging heat with only one heat source: (a) True(b) False<\/p>\n\n\n\n<p><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-vivid-cyan-blue-color\"><strong>The correct answer and explanation is:<\/strong><\/mark><\/p>\n\n\n\n<p><strong>Correct Answer: (a) True<\/strong><\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Explanation:<\/strong><\/h3>\n\n\n\n<p>The <strong>Clausius Statement<\/strong> of the <strong>Second Law of Thermodynamics<\/strong> states:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><em>\u201cIt is impossible for a self-acting machine, unaided by any external agency, to transfer heat from a colder body to a hotter body.\u201d<\/em><\/p>\n<\/blockquote>\n\n\n\n<p>However, your question relates more closely to the <strong>Kelvin-Planck Statement<\/strong>, which is often confused with Clausius\u2019s. The <strong>Kelvin-Planck Statement<\/strong> is:<\/p>\n\n\n\n<blockquote class=\"wp-block-quote is-layout-flow wp-block-quote-is-layout-flow\">\n<p><em>\u201cIt is impossible to construct a heat engine that operates on a cycle and produces no effect other than the absorption of heat from a single reservoir and the performance of an equal amount of work.\u201d<\/em><\/p>\n<\/blockquote>\n\n\n\n<p>In other words, <strong>a heat engine cannot operate in a cycle by exchanging heat with only one heat reservoir (source)<\/strong>. This is the essence of your question, and it <strong>is true<\/strong>.<\/p>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Why is this True?<\/strong><\/h3>\n\n\n\n<p>For a heat engine to perform work, it must absorb heat from a high-temperature reservoir and reject some of that heat to a low-temperature reservoir. This is because:<\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Energy Conversion Requires a Gradient<\/strong>: Work can only be extracted when there is a temperature difference\u2014much like water can only do work as it flows from a high point to a low point. Without a cold reservoir, there\u2019s nowhere for the rejected heat to go.<\/li>\n\n\n\n<li><strong>Violation of Second Law<\/strong>: If a heat engine could operate by absorbing heat from a single reservoir and converting it all into work with no heat rejection, it would violate the second law by being 100% efficient\u2014something that is <strong>thermodynamically impossible<\/strong>.<\/li>\n<\/ol>\n\n\n\n<hr class=\"wp-block-separator has-alpha-channel-opacity\"\/>\n\n\n\n<h3 class=\"wp-block-heading\"><strong>Conclusion:<\/strong><\/h3>\n\n\n\n<p>The statement is <strong>True<\/strong>. A heat engine must interact with at least two reservoirs\u2014one hot (to absorb heat) and one cold (to reject waste heat)\u2014to continuously perform work in a cyclic process. This fundamental principle upholds the second law of thermodynamics.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Clausius Statement of second law states that a heat engine cannot operate in a cycle by exchanging heat with only one heat source: (a) True(b) False The correct answer and explanation is: Correct Answer: (a) True Explanation: The Clausius Statement of the Second Law of Thermodynamics states: \u201cIt is impossible for a self-acting machine, unaided [&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-18609","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18609","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=18609"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18609\/revisions"}],"predecessor-version":[{"id":18610,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/18609\/revisions\/18610"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=18609"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=18609"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=18609"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}