{"id":600,"date":"2018-02-13T11:13:11","date_gmt":"2018-02-13T03:13:11","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=600"},"modified":"2018-02-13T11:13:11","modified_gmt":"2018-02-13T03:13:11","slug":"heat-mass-specific-heat-the-change-in-temperature-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/heat-mass-specific-heat-the-change-in-temperature-problems-and-solutions.htm","title":{"rendered":"Heat Mass Specific heat The change in temperature \u2013 Problems and Solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"<p align=\"justify\"><strong>9 Heat Mass Specific heat The change in temperature \u2013 Problems and Solutions<\/strong><\/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\">A 2 kg lead is heated from <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">50<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C to 100<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C. The <a href=\"https:\/\/gurumuda.net\/physics\/specific-heat-and-heat-capacity-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">specific heat<\/a> of lead is <\/span><\/span><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\">3<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">0 J.kg<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1 o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><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\">How much <a href=\"https:\/\/gurumuda.net\/physics\/heat-and-change-of-phase-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">heat<\/a> is absorbed by the lead?<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><a href=\"https:\/\/gurumuda.net\/physics\/mass-and-weight-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\">Mass<\/a> (m) = 2 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The specific heat <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(c) = 1<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">0 J.kg<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><\/p>\n<p class=\"western\" align=\"justify\"><a href=\"https:\/\/gurumuda.net\/physics\/heat-mass-specific-heat-the-change-in-temperature-problems-and-solutions.htm\" target=\"_blank\" rel=\"noopener\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The change in temperature <\/span><\/span><\/a><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(<\/span><\/span>\u0394<span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T) = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">100<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C \u2013 50<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C = 50<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> Heat <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(Q)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span>\u0394<span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><i><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, m = mass, c = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">the specific heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, <\/span><\/span>\u0394<span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">the change in temperature<\/span><\/span><\/i><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The heat absorbed by lead :<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = (2 kg)(1<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">0 J.kg<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">)(50<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = (100)(1<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">0)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 1<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3,<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">000 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 1.<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> x 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> 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\">2. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The specific heat of copper is 390 J\/k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> o<\/span><\/span><\/sup><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\">the change in temperature is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><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\">If the copper absorbs 40 Joule of heat, what is the copper&#8217;s mass!<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The specific heat of copper <\/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\">390 J\/k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The change in temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(<\/span><\/span>\u0394<span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T) = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat (<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q) = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40 J<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> Mass (m) <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">of copper <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span>\u0394<span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40 J <\/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\">(m)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">390 J\/k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g <\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C)(40<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = (m)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">390 \/k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g)(40)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = (m)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">390 \/kg<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">)(4)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> = (m)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1560 \/kg<\/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\">m = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">40<\/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\">1560 <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">m = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">0.026 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">m = 26 gram<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The initial temperature of 20 gram water is 30<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C. The specific heat of water is 1 cal g<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup> <sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">. If water absorbs 300 calories of heat, determine the final temperature!<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass (m) = 20 gr<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The initial temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">1<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 30<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The specific heat of water <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(c) = 1 cal gr<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup> <sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(Q) = 300 cal<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The final temperature of water<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u0394T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">300 cal = (20 gr)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 cal gr<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup> <sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-1<\/span><\/span><\/sup><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\">T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2<\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">-30<\/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\">300 = (20)(1)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<sub>2<\/sub>-30)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">300 = 20 (<\/span><\/span>T<sub>2<\/sub>-30<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\">300 = 20<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2 <\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u2013 600<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">300 + 600 = 20T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\">2<\/span><\/sub><\/p>\n<p align=\"justify\">900 = 20T<sub>2<\/sub><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<sub>2<\/sub> = 900 \/ 20<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<sub>2<\/sub> = 45<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The change in temperature is 45<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C \u2013 30<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C = 15<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C.<\/span><\/span><\/p>\n\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\">. <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">he change in temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">of the sea water <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><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\">when water absorbs 3900 Joule of heat. The specific heat of the sea water is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3.9 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> J\/<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g\u00b0C, <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">what is the mass of the sea water.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The change in temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(<\/span><\/span><span style=\"font-family: Ubuntu,serif\"><span style=\"font-size: medium\">\u0394<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T) = 1<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(Q) = 3900 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The specific heat of the sea water <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(c) = 3.9 x <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> J\/<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">k<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">g\u00b0C = 3900 J\/Kg\u00b0C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(m)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Ubuntu,serif\"><span style=\"font-size: medium\">\u0394<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><i><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, m = mass, c = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">specific heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">, <\/span><\/span><span style=\"font-family: Ubuntu,serif\"><span style=\"font-size: medium\">\u0394<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T = <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">the change in temperature<\/span><\/span><\/i><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">m = Q \/ c <\/span><\/span><span style=\"font-family: Ubuntu,serif\"><span style=\"font-size: medium\">\u0394<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T = 3900 \/ (3900)(1) = 3900 \/ 3900 = 1 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">5<\/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 2-kg copper <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">absorbs 39,000 J of heat at 30\u00b0C. If the specific heat of copper is 390 J\/kg \u00b0C, what is the final temperature of the copper&#8230;<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass (m) = 2 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Initial temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 30<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (Q) = 39,000 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Specific heat <\/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\">of copper <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= 390 J\/kg <\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted <\/u><\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>:<\/u><\/span><\/span> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">The final temperature<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2<\/span><\/span><\/sub><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\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">\u0394T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><i><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">heat<\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">, m = mass, c = <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">specific heat<\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">, \u0394T = <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">the change in temperature<\/span><\/span><\/i><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c \u0394T = m c (T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">&#8211; T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><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\">39,000 <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">= (2)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">390)(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">&#8211; 30)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">100 = (2)(1)(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">&#8211; 30)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">100 = (2)(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">&#8211; 30)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">50 = T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> &#8211; <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">30<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= 50 + 30<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2 <\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">= 80<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/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\">6<\/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 5-kg water is heated from 15\u00b0C to 40\u00b0C. What is the heat is absorbed by water. Specific heat of water is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4.2 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J\/Kg\u00b0 C.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><u><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Known :<\/span><\/span><\/u><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass (m) = 5 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Initial temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 15\u00b0C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Final temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 40\u00b0C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Specific heat of water <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(c) = 4.2 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J\/kg\u00b0 C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (Q)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">\u0394T <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = (5 kg)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4.2 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J\/kg\u00b0C)(40\u00b0C \u2013 15\u00b0C) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(5)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4.2 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J)(25) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 525 x 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 525,000 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">7<\/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 2-kg water is heated from 24\u00b0C to 90\u00b0C. What is the heat is absorbed by water. Specific heat of water is <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4.2 \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">J\/Kg\u00b0 C.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass (m) = 2 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Initial temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 24\u00b0C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Final temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 90\u00b0C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Specific heat of water <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(c) = 4,200 Joule\/kg\u00b0C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted ::<\/u><\/span><\/span> <span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Heat<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (Q) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = m <\/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\">\u0394T <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = (2 kg)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4,200 Joule\/kg\u00b0C)(90\u00b0C &#8211; 24\u00b0C)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = (2 kg)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4,200 Joule\/kg\u00b0C)(66\u00b0C)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = (132)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">4,200 Joule)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 554,400 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\">8<\/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 5-gram water is heated from 10\u00b0C to 40\u00b0C. What is the heat is absorbed by water. Specific heat of water is 1<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> \u00d7 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">3 <\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">cal<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\/g<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">r<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">\u00b0 C.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Mass (m) = 5 gram<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Initial temperature<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Final temperature <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">2<\/span><\/span><\/sub><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">) = 40<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Specific heat of water<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> (c) = 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\">al\/ gr\u00b0C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Wanted<\/u><\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"> : Heat<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">\u0394T<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = (5 gram)(<\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">1 cal\/ gr\u00b0C)(40<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C \u2013 10<\/span><\/span><sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">C) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(5)(<\/span><\/span><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\">al)(30) <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">Q = 150 <\/span><\/span><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">calories<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times New Roman,serif\"><span style=\"font-size: medium\">9<\/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 0.2-kg water absorbs 42,000 Joule of heat at <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">25<\/span><\/span><sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">C. The specific heat of water is 4200 J\/kg <\/span><\/span><sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">C, what is the final temperature of water.<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><u>Known :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Mass <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">of water <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(m) = 0.2 kg<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Heat <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(Q) = 42,000 Joule<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Specific heat of water <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(c) = 4200 J\/kg <\/span><\/span><sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">C <\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Initial temperature <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">1<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">) = 25<\/span><\/span><sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><u>Wanted :<\/u><\/span><\/span> <span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Final temperature <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">(T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><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\"><u>Solution :<\/u><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c <\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">\u0394T = m c (T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> \u2013 T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">1<\/span><\/span><\/sub><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\"><i>Q = <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>heat<\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>, m = mass, c = <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>specific heat<\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>, <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>\u0394T = <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>the change in temperature<\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>, T<\/i><\/span><\/span><sub><span style=\"font-family: Times new roman,serif\"><i>1 <\/i><\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>= <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>the initial temperature<\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>, T<\/i><\/span><\/span><sub><span style=\"font-family: Times new roman,serif\"><i>2 <\/i><\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>= <\/i><\/span><\/span><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"><i>the final temperature<\/i><\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">Q = m c (T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> \u2013 T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">1<\/span><\/sub><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\">42,000 = (0.2)(4200)(T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> \u2013 25)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">42,000 = 840 (T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> \u2013 25)<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">42,000 = 840 T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> \u2013 21,000<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">42,000 + 21,000 = 840 T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">63,000 = 840 T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> = 63,000 \/ 840<\/span><\/span><\/p>\n<p class=\"western\" align=\"justify\"><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">T<\/span><\/span><sub><span style=\"font-family: Times new roman,serif\">2<\/span><\/sub><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\"> = 75<\/span><\/span><sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">o<\/span><\/span><\/sup><span style=\"font-family: Times new roman,serif\"><span style=\"font-size: medium\">C<\/span><\/span><\/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, heat of fusion, 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 align=\"justify\"><!--more--><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"<p>9 Heat Mass Specific heat The change in temperature \u2013 Problems and Solutions 1. A 2 kg lead is heated from 50oC to 100oC. The specific heat of lead is 130 J.kg-1 oC-1. How much heat is absorbed by the lead? Known : Mass (m) = 2 kg The specific heat (c) = 130 J.kg-1C-1 &#8230; <a title=\"Heat Mass Specific heat The change in temperature \u2013 Problems and Solutions\" class=\"read-more\" href=\"https:\/\/gurumuda.net\/physics\/heat-mass-specific-heat-the-change-in-temperature-problems-and-solutions.htm\" aria-label=\"Read more about Heat Mass Specific heat The change in temperature \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":"Heat mass specific heat the change in temperature \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-600","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\/600","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=600"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/600\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=600"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=600"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=600"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}