{"id":157820,"date":"2023-09-07T13:26:05","date_gmt":"2023-09-07T07:56:05","guid":{"rendered":"https:\/\/www.gkseries.com\/blog\/?p=157820"},"modified":"2023-09-07T13:26:14","modified_gmt":"2023-09-07T07:56:14","slug":"one-kilogram-of-air-is-compressed-at-constant-temperature-of-150-%cb%9ac-until-its-volume-is-halved","status":"publish","type":"post","link":"https:\/\/www.gkseries.com\/blog\/one-kilogram-of-air-is-compressed-at-constant-temperature-of-150-%cb%9ac-until-its-volume-is-halved\/","title":{"rendered":"One kilogram of air is compressed at constant temperature of 150 \u02daC until its volume is halved"},"content":{"rendered":"\n<p>Q. One kilogram of air is compressed at constant temperature of 150 \u02daC until its volume is halved. Considering gas constant <em>R <\/em>= 0.287 kJ\/kg-K for air, magnitude of heat rejected (in kJ) in the compression process is<\/p>\n\n\n\n<p>Ans: 84 &#8211; 84.3<\/p>\n\n\n\n<p>Sol:<\/p>\n\n\n\n<p>First Law of Thermodynamics: \u03b4Q = dU +\u00a0\u03b4W <\/p>\n\n\n\n<p>For Isothermal process dU = 0 <\/p>\n\n\n\n<p>\u2234\u00a0\u03b4Q =\u00a0\u03b4W <\/p>\n\n\n\n<p>For Isothermal Process:<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"570\" height=\"355\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-822.png\" alt=\"\" class=\"wp-image-157821\" srcset=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-822.png 570w, https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-822-300x187.png 300w\" sizes=\"(max-width: 570px) 100vw, 570px\" \/><\/figure>\n\n\n\n<p>Calculation:<\/p>\n\n\n\n<p>m = 1 kg, T1\u00a0=\u00a0T2\u00a0= 150\u00b0C = 423 K (Isothermal Process), V1\u00a0= 2V2, R =\u00a00.287 kJ\/kgK<\/p>\n\n\n\n<figure class=\"wp-block-image size-full\"><img decoding=\"async\" width=\"225\" height=\"136\" src=\"https:\/\/www.gkseries.com\/blog\/wp-content\/uploads\/2023\/09\/Screenshot-823.png\" alt=\"\" class=\"wp-image-157822\"\/><\/figure>\n\n\n\n<p>Here,\u00a0the negative sign shows that the heat is rejected from the system. So,\u00a0Q = 84.148 kJ<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Q. One kilogram of air is compressed at constant temperature of 150 \u02daC until its volume is halved. Considering gas constant R = 0.287 kJ\/kg-K for air, magnitude of heat rejected (in kJ) in the compression process is Ans: 84 &#8211; 84.3 Sol: First Law of Thermodynamics: \u03b4Q = dU +\u00a0\u03b4W For Isothermal process dU [&hellip;]<\/p>\n","protected":false},"author":419,"featured_media":157823,"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-157820","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\/157820","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=157820"}],"version-history":[{"count":1,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157820\/revisions"}],"predecessor-version":[{"id":157825,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/posts\/157820\/revisions\/157825"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media\/157823"}],"wp:attachment":[{"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/media?parent=157820"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/categories?post=157820"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.gkseries.com\/blog\/wp-json\/wp\/v2\/tags?post=157820"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}