{"id":704,"date":"2022-03-24T09:55:07","date_gmt":"2022-03-24T09:55:07","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=704"},"modified":"2022-03-24T04:21:04","modified_gmt":"2022-03-24T04:21:04","slug":"molar-relative-heat-heat-capacity","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/molar-relative-heat-heat-capacity\/","title":{"rendered":"\u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09be \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa\u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be"},"content":{"rendered":"

\u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09be \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa\u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be <\/b>(Molar relative heat or molar heat capacity)<\/b><\/h2>\n

\u09b8\u0982\u099c\u09cd\u099e\u09be :<\/b> 1<\/span> \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span>1<\/span> \u09a1\u09bf\u0997\u09cd\u09b0\u09bf \u09ac\u09be\u09dc\u09be\u09a4\u09c7 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09df \u09a4\u09be\u0995\u09c7 \u0993\u0987 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa\u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be \u09ac\u09be \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u09c7 <\/span>C<\/span> \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964<\/span><\/p>\n

\u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 <\/span>n<\/span> \u09ae\u09cb\u09b2\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \\Delta T<\/span><\/span> \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09a6\u09bf \\Delta Q<\/span><\/span> \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09df, \u09a4\u09ac\u09c7 \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa \u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be,<\/span><\/p>\n

C=\\frac{\\Delta Q}{n \\Delta T}<\/span><\/span>\u00a0—————– (1.12)<\/span><\/p>\n

\u098f\u0995\u0995 : <\/b>\\Delta Q<\/span>\u00a0\u098f\u09b0 \u098f\u0995\u0995 \u099c\u09c1\u09b2 (joule), <\/span>n<\/span>-\u098f\u09b0 \u098f\u0995\u0995 \u09ae\u09cb\u09b2 (mole) \u098f\u09ac\u0982 <\/span>\\Delta T<\/span><\/span>\u2013\u098f\u09b0 \u098f\u0995\u0995 \u0995\u09c7\u09b2\u09ad\u09bf\u09a8(K)<\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 <\/span>1.12<\/span> \u09b9\u09a4\u09c7 <\/span>C<\/span>-\u098f\u09b0 \u098f\u0995\u0995 J (mol)^{-1}K^{-1}<\/span><\/span>\u0964<\/span><\/span><\/p>\n

\u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a6\u09c1\u099f\u09bf \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09b0\u09df\u09c7\u099b\u09c7\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u098f\u09b0 \u09a6\u09c1\u099f\u09bf \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa\u0993 \u09b0\u09df\u09c7\u099b\u09c7\u0964 \u09af\u09a5\u09be<\/span>–<\/span>i<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u098f\u09ac\u0982 <\/span>ii<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u0986\u09df\u09a4\u09a8\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa\u0964<\/span><\/p>\n

i<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa <\/b>(Molar heat capacity at constant pressure), C_P<\/span><\/b>\u00a0:<\/span><\/h2>\n

\u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 <\/span>1\u00a0mole<\/span> \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span>1K<\/span> \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09a4\u09be\u0995\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u09c7 C_P<\/span><\/span>\u00a0\u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964 \u099a\u09be\u09aa \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 <\/span>n<\/span> \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \\Delta T<\/span><\/span> \u09ac\u09be\u09dc\u09be\u09a4\u09c7 \u09af\u09a6\u09bf \\Delta Q<\/span> <\/span>\u099c\u09c1\u09b2 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09df, \u09a4\u09ac\u09c7 \u09b8\u0982\u099c\u09cd\u099e\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/span><\/p>\nC_P=\\frac{\\Delta Q}{n \\Delta T}<\/span>\n

ii<\/span> \u09b8\u09cd\u09a5\u09bf\u09b0 \u0986\u09df\u09a4\u09a8\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa <\/b>(Molar heat capacity at constant volume), C_V<\/span><\/b>\u00a0:<\/span><\/h2>\n

\u09b8\u09cd\u09a5\u09bf\u09b0 \u0986\u09df\u09a4\u09a8\u09c7 <\/span>1\u00a0mole<\/span> \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span>1K<\/span> \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09a4\u09be\u0995\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u0986\u09df\u09a4\u09a8\u09c7 \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u09c7 C_V<\/span><\/span>\u00a0\u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964<\/span><\/p>\n

\u0986\u09df\u09a4\u09a8 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 <\/span>m<\/span> \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \\Delta T<\/span><\/span> \u09ac\u09be\u09dc\u09be\u09a4\u09c7 \u09af\u09a6\u09bf \\Delta Q<\/span><\/span> \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09df, \u09a4\u09ac\u09c7 \u09b8\u0982\u099c\u09cd\u099e\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,\u00a0<\/span><\/p>\nC_V=\\frac{\\Delta Q}{n \\Delta T}<\/span>\n

\u09aa\u09b0\u09c0\u0995\u09cd\u09b7\u09be\u09df \u09a6\u09c7\u0996\u09be \u0997\u09c7\u099b\u09c7 C_P<\/span><\/span> \u098f\u09b0 \u09ae\u09be\u09a8 C_V<\/span><\/span> \u0985\u09aa\u09c7\u0995\u09cd\u09b7\u09be \u09ac\u09c7\u09b6\u09bf \u09b9\u09df\u0964<\/span><\/p>\n

C_P<\/span><\/strong> \u098f\u09ac\u0982 C_V<\/span><\/b> -\u098f\u09b0 \u09aa\u09be\u09b0\u09cd\u09a5\u0995\u09cd\u09af\u09c7\u09b0 \u09ad\u09cc\u09a4 \u09ac\u09cd\u09af\u09be\u0996\u09cd\u09af\u09be <\/b>(Physical explanation of the difference between <\/b>C_P<\/span> <\/strong><\/b>and <\/b>C_V<\/span><\/strong>)<\/b><\/h2>\n

\u098f\u0995\u099f\u09bf \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 \u09a4\u09be\u0995\u09c7 \u0989\u09a4\u09cd\u09a4\u09aa\u09cd\u09a4 \u0995\u09b0\u09a4\u09c7 \u09a5\u09be\u0995\u09b2\u09c7 \u09a4\u09be\u09b0 \u099a\u09be\u09aa \u0993 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0989\u09ad\u09df\u0987 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df\u0964 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u0986\u09df\u09a4\u09a8 \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09be\u09df \u0993\u0987 \u0997\u09cd\u09af\u09be\u09b8 \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u0995\u09cb\u09a8\u09cb \u0995\u09be\u099c \u0995\u09b0\u09c7 \u09a8\u09be\u0964 \u09ab\u09b2\u09c7 \u09b8\u09ae\u09cd\u09aa\u09c2\u09b0\u09cd\u09a3 \u09a4\u09be\u09aa \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099a\u09be\u09aa \u0993 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u0987 \u09ac\u09cd\u09af\u09df \u09b9\u09df\u0964 <\/span><\/p>\n

\u0986\u09ac\u09be\u09b0 \u099a\u09be\u09aa \u09b8\u09cd\u09a5\u09bf\u09b0 \u09b0\u09c7\u0996\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u099f\u09bf\u0995\u09c7 \u0989\u09a4\u09cd\u09a4\u09aa\u09cd\u09a4 \u0995\u09b0\u09a4\u09c7 \u09a5\u09be\u0995\u09b2\u09c7 \u09a4\u09be\u09b0 \u0986\u09df\u09a4\u09a8 \u0993 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0989\u09ad\u09df\u0987 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df\u0964 \u09ab\u09b2\u09c7 \u09aa\u09cd\u09b0\u09af\u09c1\u0995\u09cd\u09a4 \u09a4\u09be\u09aa \u098f\u0995\u09a6\u09bf\u0995\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09c7 \u098f\u09ac\u0982 \u0985\u09aa\u09b0\u09a6\u09bf\u0995\u09c7 \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u099a\u09be\u09aa\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09c7 \u0995\u09bf\u099b\u09c1 \u0995\u09be\u099c \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09b0\u09c7\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09cd\u09a5\u09bf\u09b0 \u0986\u09df\u09a4\u09a8\u09c7 <\/span>1<\/span> \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span>1K<\/span> \u09aa\u09b0\u09cd\u09af\u09a8\u09cd\u09a4 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09af\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09ac\u09c7 \u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 \u0993\u0987 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span>1K<\/span> \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u09a4\u09be \u0985\u09aa\u09c7\u0995\u09cd\u09b7\u09be \u0995\u09bf\u099b\u09c1 \u09ac\u09c7\u09b6\u09bf \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09ac\u09c7\u0964 \u0995\u09c7\u09a8\u09a8\u09be \u09a6\u09cd\u09ac\u09bf\u09a4\u09c0\u09df \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u099a\u09be\u09aa\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09be\u099c \u0995\u09b0\u09c7 \u0986\u09df\u09a4\u09a8 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u0995\u09b0\u09a4\u09c7 \u0995\u09bf\u099b\u09c1 \u0985\u09a4\u09bf\u09b0\u09bf\u0995\u09cd\u09a4 \u09a4\u09be\u09aa \u09b2\u09be\u0997\u09ac\u09c7\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce C_P=C_V+<\/span><\/span> \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u099a\u09be\u09aa\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0995\u09be\u099c\u09c7\u09b0 \u09b8\u09ae\u09a4\u09c1\u09b2 \u09a4\u09be\u09aa\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 C_P>C_V<\/span><\/span>\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"

\u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09be \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa\u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be (Molar relative heat or molar heat capacity) \u09b8\u0982\u099c\u09cd\u099e\u09be : 1 \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be 1 \u09a1\u09bf\u0997\u09cd\u09b0\u09bf \u09ac\u09be\u09dc\u09be\u09a4\u09c7 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09c7\u09b0 \u09aa\u09cd\u09b0\u09df\u09cb\u099c\u09a8 \u09b9\u09df \u09a4\u09be\u0995\u09c7 \u0993\u0987 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u09a4\u09be\u09aa\u09a7\u09be\u09b0\u09a3 \u0995\u09cd\u09b7\u09ae\u09a4\u09be \u09ac\u09be \u09ae\u09cb\u09b2\u09be\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09be\u09aa \u09ac\u09b2\u09c7\u0964 \u098f\u0995\u09c7<\/p>\n

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