{"id":608,"date":"2018-02-13T13:04:27","date_gmt":"2018-02-13T05:04:27","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=608"},"modified":"2018-02-13T13:04:27","modified_gmt":"2018-02-13T05:04:27","slug":"mechanical-equivalent-of-heat-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/mechanical-equivalent-of-heat-problems-and-solutions.htm","title":{"rendered":"Mechanical equivalent of heat \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1. 2 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al (kilo<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = &#8230;.. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> ?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = 1000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = 2 (1000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 2000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2. 4 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = &#8230;.. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> ?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">a Capital C<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 1 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = 1000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 4 (1000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 4000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3. 10 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = &#8230;.. Joule ?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 4.186 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">10 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alori<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">e<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = 10 (4.186 Joule) = 41.86 Joule <\/span><\/span><\/p>\n<p align=\"justify\"><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4. 5 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = &#8230;.. Joule ?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = 1000 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">alorie = 4186 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">5 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al = 5 (4186 Joule) = 20930 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">5. 2000 Joule = &#8230;.. k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al ?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Solution<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4186 Joule = 1 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">8372 Joule = 8372 \/ 4186 = 2 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2000 Joule = 2000 \/ 4186 = 0.4777 k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">c<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">al<\/span><\/span><\/p>\n<p align=\"justify\">[wpdm_package id=&#8217;706&#8242;]<\/p>\n<ol>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/converting-temperature-scales-celsius-scale-fahrenheit-scale-kelvin-scale.htm\" rel=\"noopener\">Converting temperature scales<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/linear-expansion-problems-and-solutions.htm\" rel=\"noopener\">Linear expansion<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/area-expansion-problems-and-solutions.htm\" rel=\"noopener\">Area expansion<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/volume-expansion-problems-and-solutions.htm\" rel=\"noopener\">Volume expansion<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/heat-mass-specific-heat-the-change-in-temperature-problems-and-solutions.htm\" rel=\"noopener\">Heat<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/mechanical-equivalent-of-heat-problems-and-solutions.htm\" rel=\"noopener\">Mechanical equivalent of heat<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/specific-heat-and-heat-capacity-problems-and-solutions.htm\" rel=\"noopener\">Specific heat and heat capacity<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/latent-heat-heat-of-fusion-heat-of-vaporization-problems-and-solutions.htm\" rel=\"noopener\">Latent heat, the heat of fusion, the heat of vaporization<\/a><\/li>\n<li><a href=\"https:\/\/gurumuda.net\/physics\/energy-conservation-for-heat-transfer-problems-and-solutions.htm\" rel=\"noopener\">Energy conservation for heat transfer<\/a><\/li>\n<\/ol>\n<p class=\"western\" align=\"justify\"><!--more--><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>1. 2 kcal (kilocalorie) = &#8230;.. calorie ? Solution 1 kcal = 1000 calorie 2 kcal = 2 (1000 calorie) = 2000 calorie 2. 4 Calorie = &#8230;.. calorie ? Solution 1 Calorie (a Capital C) = 1 kcal = 1000 calorie 4 Calorie = 4 (1000 calorie) = 4000 calorie 3. 10 calorie = &#8230; <a title=\"Mechanical equivalent of heat \u2013 problems and solutions\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/mechanical-equivalent-of-heat-problems-and-solutions.htm\" aria-label=\"Read more about Mechanical equivalent of heat \u2013 problems and solutions\">Read more<\/a><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","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":"Mechanical equivalent of heat \u2013 problems and solutions","_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":[3],"tags":[],"class_list":["post-608","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/608","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=608"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/608\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=608"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=608"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=608"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}