{"id":3389,"date":"2018-07-20T19:49:43","date_gmt":"2018-07-21T02:49:43","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3389"},"modified":"2023-08-06T13:46:24","modified_gmt":"2023-08-06T13:46:24","slug":"coefficient-of-performance-cooling-machine","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/coefficient-of-performance-cooling-machine.htm","title":{"rendered":"Coefficient of performance of the cooling machine","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p align=\"justify\">Article about Coefficient of performance of the cooling machine<\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">A cooling machine is a machine that takes heat from a low-temperature place, then transfers it to a high-temperature area. For this process to happen, the machine must do the work because the heat naturally flows from high temperature to low temperature. This is by Clausius&#8217;s statement:<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><i>It is impossible for a cooling machine to transfer heat from a low-temperature place to a high-temperature place, without work (Second law of thermodynamics\u2014Clausius statement).<\/i><\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">The machine works (W) to transfer heat, from low temperature (Q<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">) to high temperature (Q<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">H<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">). Based on conservation of energy, Q<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"> + W = Q<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">H<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">.<\/span><\/span><\/span><!--more--><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">If the heat engine uses the term efficiency, then the refrigerant uses the term coefficient of performance (C<sub>P<\/sub>). The coefficient of performance (C<sub>P<\/sub>) of refrigerant is the ratio between heat transferred from low temperature (Q<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">L<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">) to work (W), which is done to transfer heat.<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3390\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/07\/Coefficient-of-performance-cooling-machine-1.png\" alt=\"Coefficient of performance cooling machine 1\" width=\"184\" height=\"275\" \/><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">Ideal cooling machine&#8217;s coefficient of performance :<\/span><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><img loading=\"lazy\" decoding=\"async\" class=\"aligncenter size-full wp-image-3391\" src=\"https:\/\/gurumuda.net\/physics\/wp-content\/uploads\/2018\/07\/Coefficient-of-performance-cooling-machine-2.png\" alt=\"Coefficient of performance cooling machine 2\" width=\"113\" height=\"164\" \/><br \/>\n<span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">T<\/span><\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"><sub>L<\/sub> <\/span><\/span><\/span><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\">= low temperature, T<\/span><\/span><\/span><sub><span style=\"font-family: Times new roman, serif;\"><span lang=\"en-US\">H<\/span><\/span><\/sub><span style=\"font-family: Times new roman, serif;\"><span style=\"font-size: medium;\"><span lang=\"en-US\"> = high temperature<\/span><\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>Article about Coefficient of performance of the cooling machine A cooling machine is a machine that takes heat from a low-temperature place, then transfers it to a high-temperature area. For this process to happen, the machine must do the work because the heat naturally flows from high temperature to low temperature. This is by Clausius&#8217;s &#8230; <a title=\"Coefficient of performance of the cooling machine\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/coefficient-of-performance-cooling-machine.htm\" aria-label=\"Read more about Coefficient of performance of the cooling machine\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"Coefficient of performance of the cooling machine","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[2],"tags":[],"class_list":["post-3389","post","type-post","status-publish","format-standard","hentry","category-basic-physics-tutorials"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3389","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3389"}],"version-history":[{"count":1,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3389\/revisions"}],"predecessor-version":[{"id":8516,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3389\/revisions\/8516"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3389"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3389"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3389"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}