{"id":84931,"date":"2025-06-01T02:56:23","date_gmt":"2025-06-01T02:56:23","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=84931"},"modified":"2025-06-01T02:56:23","modified_gmt":"2025-06-01T02:56:23","slug":"which-of-the-following-is-are-state-function-functions-1-qw-2","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/","title":{"rendered":"Which of the following is\/are state function\/functions?\n \n 1. q+w \n 2."},"content":{"rendered":"<p>Which of the following is\/are state function\/functions?<\/p>\n<ul>\n<li>1. q+w<\/li>\n<li>2. q<\/li>\n<li>3. w<\/li>\n<li>4. H-TS<\/li>\n<\/ul>\n<p>Select the correct answer using the code given below.<\/p>\n<p>[amp_mcq option1=&#8221;1 and 4 only&#8221; option2=&#8221;1, 2 and 4&#8243; option3=&#8221;2, 3 and 4&#8243; option4=&#8221;1 only&#8221; correct=&#8221;option1&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CDS-1 &#8211; 2019<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cds-1-2019.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cds-1-2019\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nA state function is a property whose value depends only on the state of the system, not on the path taken to reach that state.<br \/>\n1. q+w: According to the first law of thermodynamics, $\\Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($\\Delta U$) is also a state function. Thus, q+w represents $\\Delta U$ and is a state function.<br \/>\n2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed.<br \/>\n3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed.<br \/>\n4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S).<br \/>\nTherefore, q+w and H-TS are state functions.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; State functions are independent of the path.<br \/>\n&#8211; Internal energy ($\\Delta U = q+w$) is a state function.<br \/>\n&#8211; Gibbs Free Energy ($G = H-TS$) is a state function.<br \/>\n&#8211; Heat (q) and Work (w) are path functions.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nExamples of other state functions include pressure (P), volume (V), temperature (T), enthalpy (H), entropy (S), and internal energy (U). Examples of path functions include heat (q) and work (w).<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Which of the following is\/are state function\/functions? 1. q+w 2. q 3. w 4. H-TS Select the correct answer using the code given below. [amp_mcq option1=&#8221;1 and 4 only&#8221; option2=&#8221;1, 2 and 4&#8243; option3=&#8221;2, 3 and 4&#8243; option4=&#8221;1 only&#8221; correct=&#8221;option1&#8243;] This question was previously asked in UPSC CDS-1 &#8211; 2019 Download PDFAttempt Online A state &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Which of the following is\/are state function\/functions?\n \n 1. q+w \n 2.\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/#more-84931\">Detailed Solution<span class=\"screen-reader-text\">Which of the following is\/are state function\/functions?<\/p>\n<p> 1. q+w<br \/>\n 2.<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1087],"tags":[1119,1130,1128],"class_list":["post-84931","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1119","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Which of the following is\/are state function\/functions?  1. q+w  2.<\/title>\n<meta name=\"description\" content=\"A state function is a property whose value depends only on the state of the system, not on the path taken to reach that state. 1. q+w: According to the first law of thermodynamics, $Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($Delta U$) is also a state function. Thus, q+w represents $Delta U$ and is a state function. 2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed. 3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed. 4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S). Therefore, q+w and H-TS are state functions. - State functions are independent of the path. - Internal energy ($Delta U = q+w$) is a state function. - Gibbs Free Energy ($G = H-TS$) is a state function. - Heat (q) and Work (w) are path functions.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which of the following is\/are state function\/functions?  1. q+w  2.\" \/>\n<meta property=\"og:description\" content=\"A state function is a property whose value depends only on the state of the system, not on the path taken to reach that state. 1. q+w: According to the first law of thermodynamics, $Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($Delta U$) is also a state function. Thus, q+w represents $Delta U$ and is a state function. 2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed. 3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed. 4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S). Therefore, q+w and H-TS are state functions. - State functions are independent of the path. - Internal energy ($Delta U = q+w$) is a state function. - Gibbs Free Energy ($G = H-TS$) is a state function. - Heat (q) and Work (w) are path functions.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T02:56:23+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"Which of the following is\/are state function\/functions?  1. q+w  2.","description":"A state function is a property whose value depends only on the state of the system, not on the path taken to reach that state. 1. q+w: According to the first law of thermodynamics, $Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($Delta U$) is also a state function. Thus, q+w represents $Delta U$ and is a state function. 2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed. 3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed. 4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S). Therefore, q+w and H-TS are state functions. - State functions are independent of the path. - Internal energy ($Delta U = q+w$) is a state function. - Gibbs Free Energy ($G = H-TS$) is a state function. - Heat (q) and Work (w) are path functions.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/","og_locale":"en_US","og_type":"article","og_title":"Which of the following is\/are state function\/functions?  1. q+w  2.","og_description":"A state function is a property whose value depends only on the state of the system, not on the path taken to reach that state. 1. q+w: According to the first law of thermodynamics, $Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($Delta U$) is also a state function. Thus, q+w represents $Delta U$ and is a state function. 2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed. 3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed. 4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S). Therefore, q+w and H-TS are state functions. - State functions are independent of the path. - Internal energy ($Delta U = q+w$) is a state function. - Gibbs Free Energy ($G = H-TS$) is a state function. - Heat (q) and Work (w) are path functions.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T02:56:23+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/","name":"Which of the following is\/are state function\/functions? 1. q+w 2.","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T02:56:23+00:00","dateModified":"2025-06-01T02:56:23+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"A state function is a property whose value depends only on the state of the system, not on the path taken to reach that state. 1. q+w: According to the first law of thermodynamics, $\\Delta U = q+w$, where U is internal energy. Internal energy (U) is a state function, so the change in internal energy ($\\Delta U$) is also a state function. Thus, q+w represents $\\Delta U$ and is a state function. 2. q: Heat (q) is a path-dependent quantity; the amount of heat transferred depends on the process followed. 3. w: Work (w) is a path-dependent quantity; the amount of work done depends on the process followed. 4. H-TS: This expression is the definition of Gibbs Free Energy (G). Gibbs Free Energy (G) is a state function, as it is defined in terms of state functions (Enthalpy H, Temperature T, and Entropy S). Therefore, q+w and H-TS are state functions. - State functions are independent of the path. - Internal energy ($\\Delta U = q+w$) is a state function. - Gibbs Free Energy ($G = H-TS$) is a state function. - Heat (q) and Work (w) are path functions.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/which-of-the-following-is-are-state-function-functions-1-qw-2\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-1\/"},{"@type":"ListItem","position":3,"name":"Which of the following is\/are state function\/functions? 1. q+w 2."}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/84931","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=84931"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/84931\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=84931"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=84931"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=84931"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}