{"id":612,"date":"2018-02-13T18:46:15","date_gmt":"2018-02-13T10:46:15","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=612"},"modified":"2018-02-13T18:46:15","modified_gmt":"2018-02-13T10:46:15","slug":"specific-heat-and-heat-capacity-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/specific-heat-and-heat-capacity-problems-and-solutions.htm","title":{"rendered":"Specific heat and heat capacity \u2013 problems and solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

1<\/span><\/span>. <\/span><\/span>A body with mass <\/a><\/span><\/span>2 kg <\/span><\/span>absorbs heat <\/span><\/span>100 <\/span><\/span>calories when its temperature<\/a> raises from <\/span><\/span> 20<\/span><\/span>o<\/span><\/span><\/sup>C to 70<\/span><\/span>o<\/span><\/span><\/sup>C. <\/span><\/span>What is the specific heat<\/a> of the body?<\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

Mass (m) = 2 kg = 2000 gr<\/span><\/span><\/p>\n

Heat <\/span><\/span>(Q) = 100 <\/span><\/span>c<\/span><\/span>al<\/span><\/span><\/p>\n

The change in temperature <\/span><\/span>(<\/span><\/span>\u0394<\/span><\/span>T) = 70<\/span><\/span>o<\/span><\/span><\/sup>C \u2013 20<\/span><\/span>o<\/span><\/span><\/sup>C = 50<\/span><\/span>o<\/span><\/span><\/sup>C <\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> The specific heat <\/span><\/span>(c)<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

c = Q \/ m <\/span><\/span>\u0394T<\/span><\/span><\/p>\n

c = 100 cal \/ (2000 gr)(50<\/span><\/span>o<\/span><\/span><\/sup>C)<\/span><\/span><\/p>\n

c = 100 cal \/ 100,000 gr <\/span><\/span>o<\/span><\/span><\/sup>C<\/span><\/span><\/p>\n

c = 10<\/span><\/span>2<\/span><\/span><\/sup> cal \/ 10<\/span><\/span>5<\/span><\/span><\/sup> gr <\/span><\/span>o<\/span><\/span><\/sup>C<\/span><\/span><\/p>\n

c = (10<\/span><\/span>2<\/span><\/span><\/sup> cal)(<\/span><\/span>10<\/span><\/span>-5<\/span><\/span><\/sup> gr<\/span><\/span>-1<\/span><\/span><\/sup> o<\/span><\/span><\/sup>C<\/span><\/span>-1<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

c = 10<\/span><\/span>-3 <\/span><\/span><\/sup>cal <\/span><\/span>gr<\/span><\/span>-1<\/span><\/span><\/sup> o<\/span><\/span><\/sup>C<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

c = 10<\/span><\/span>-3 <\/span><\/span><\/sup>cal\/<\/span><\/span>gr <\/span><\/span>o<\/span><\/span><\/sup>C<\/span><\/span><\/p>\n

The specific heat of the body is <\/span><\/span>10<\/span><\/span>-3 <\/span><\/span><\/sup>cal\/gr <\/span><\/span>o<\/span><\/span><\/sup>C<\/span><\/span><\/p>\n

<\/p>\n

2<\/span><\/span>. <\/span><\/span>The specific heat of water is <\/span><\/span>4180 J\/kg C<\/span><\/span>o<\/span><\/span><\/sup>. <\/span><\/span>How much the heat capacity of 2 kg water…<\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

The specific heat <\/span><\/span>(c) = 4180 J\/kg C<\/span><\/span>o<\/span><\/span><\/sup><\/p>\n

Mass<\/a> (m) = 2 kg<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> Heat capacity <\/span><\/span><\/a>(C)<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

C = m c<\/span><\/span><\/p>\n

C = (2 kg)(4180 J\/kg C<\/span><\/span>o<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

C = (2)(4180 J\/C<\/span><\/span>o<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

C = 8360 J\/C<\/span><\/span>o<\/span><\/span><\/sup><\/p>\n

3. The specific heat of aluminum is <\/span><\/span>900 J\/kg C<\/span><\/span>o<\/span><\/span><\/sup>. <\/span><\/span>How much the heat capacity of <\/span><\/span>2 gram aluminum…..<\/span><\/span><\/p>\n

Known :<\/u><\/span><\/span><\/p>\n

The specific heat of aluminum <\/span><\/span>(c) = 900 J\/kg C<\/span><\/span>o <\/span><\/span><\/sup>= 9 x 10<\/span><\/span>2<\/span><\/span><\/sup> J\/kg C<\/span><\/span>o <\/span><\/span><\/sup><\/p>\n

Mass (m) = 2 gram = 2\/1000 kg = 2\/10<\/span><\/span>3<\/span><\/span><\/sup> kg = 2 x 10<\/span><\/span>-3 <\/span><\/span><\/sup>kg <\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> Heat capacity <\/span><\/span>(C)<\/span><\/span><\/p>\n

Solution :<\/u><\/span><\/span><\/p>\n

C = m c<\/span><\/span><\/p>\n

C = (2 x 10<\/span><\/span>-3 <\/span><\/span><\/sup>kg)(<\/span><\/span>9 x 10<\/span><\/span>2<\/span><\/span><\/sup> J\/kg C<\/span><\/span>o<\/span><\/span><\/sup>)<\/span><\/span><\/p>\n

C = 18 x 10<\/span><\/span>-3 <\/span><\/span><\/sup>x 10<\/span><\/span>2<\/span><\/span><\/sup> J\/C<\/span><\/span>o<\/span><\/span><\/sup><\/p>\n

C = 18 x 10<\/span><\/span>-1 <\/span><\/span><\/sup>J\/C<\/span><\/span>o<\/span><\/span><\/sup><\/p>\n

C = <\/span><\/span>1.8 <\/span><\/span>J\/C<\/span><\/span>o<\/span><\/span><\/sup><\/p>\n

[wpdm_package id=’710′]<\/p>\n

    \n
  1. Converting temperature scales<\/a><\/li>\n
  2. Linear expansion<\/a><\/li>\n
  3. Area expansion<\/a><\/li>\n
  4. Volume expansion<\/a><\/li>\n
  5. Heat<\/a><\/li>\n
  6. Mechanical equivalent of heat<\/a><\/li>\n
  7. Specific heat and heat capacity<\/a><\/li>\n
  8. Latent heat, heat of fusion, heat of vaporization<\/a><\/li>\n
  9. Energy conservation for heat transfer<\/a><\/li>\n<\/ol>\n

    <\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

    1. A body with mass 2 kg absorbs heat 100 calories when its temperature raises from 20oC to 70oC. What is the specific heat of the body? Known : Mass (m) = 2 kg = 2000 gr Heat (Q) = 100 cal The change in temperature (\u0394T) = 70oC \u2013 20oC = 50oC Wanted : … 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":"Specific heat and heat capacity \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-612","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\/612","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=612"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/612\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=612"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=612"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=612"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}