{"id":583,"date":"2022-03-24T09:58:20","date_gmt":"2022-03-24T09:58:20","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=583"},"modified":"2022-03-28T11:12:18","modified_gmt":"2022-03-28T05:12:18","slug":"uses-of-first-law-of-thermodynamics","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/uses-of-first-law-of-thermodynamics\/","title":{"rendered":"\u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 (Uses of First Law of Thermodynamics)"},"content":{"rendered":"\r\n

\u09e7. \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>(Uses of First Law of Thermodynamics in terms of Isothermal Process)<\/b><\/h2>\r\n\r\n\r\n\r\n

\u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09cb\u09a8\u09cb \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u099a\u09be\u09aa \u0993 \u0986\u09df\u09a4\u09a8 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09df \u09a4\u09be\u0995\u09c7 \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be \u09ac\u09b2\u09c7\u0964 \u098f\u0987 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0985\u09a8\u09cd\u09a4\u09b8\u09cd\u09a5 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u0995\u09cb\u09a8\u09cb \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 \u09b9\u09df \u09a8\u09be\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u0995\u09c7 \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995\u09ad\u09be\u09ac\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df,<\/span><\/p>\r\n\r\n\r\n\r\n

dQ=du+dW<\/span>————————– (1.1)<\/span><\/p>\r\n\r\n\r\n\r\n

\u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7, \u09ab\u09b2\u09c7 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09a8\u09bf\u09b9\u09bf\u09a4 \u09ac\u09be \u0985\u09a8\u09cd\u09a4\u09b8\u09cd\u09a5 \u09b6\u0995\u09cd\u09a4\u09bf \u0985\u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09a5\u09be\u0995\u09c7\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span>du=0<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09a4\u098f\u09ac, \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 <\/span>1.1<\/span>–<\/span>\u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df,<\/span><\/p>\r\n\r\n\r\n\r\n

dQ=0+dW=dW <\/span><\/span>————————– (1.2)<\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce, \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae \u09ac\u09be \u09ac\u09cd\u09af\u09ac\u09b8\u09cd\u09a5\u09be \u0995\u09b0\u09cd\u09a4\u09c3\u0995 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7 \u09b8\u09b0\u09ac\u09b0\u09be\u09b9\u0995\u09c3\u09a4 \u09ac\u09be \u0997\u09c3\u09b9\u09c0\u09a4 \u09a4\u09be\u09aa\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 1.2 \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u09b0\u09c2\u09aa\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\r\n
\"Uses\r\n
\u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09e8<\/span><\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7, <\/span>n<\/span> \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af, PV=nRT<\/span>\u00a0<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, P=\\frac{nRT}{V}<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 V_1<\/span><\/span> \u09a5\u09c7\u0995\u09c7 V_2<\/span><\/span>-\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u0995\u09be\u099c,<\/span><\/p>\r\n\r\n\r\nW=\\int_{V_1}^{V_2}PdV=\\int_{V_1}^{V_2}\\frac{nRTdV}{V}=nRT\\int_{V_1}^{V_2}\\frac{dV}{V}=nRT[lnV]_{V_1}^{V_2}=nRT \\ln(\\frac{V_2}{V_1})<\/span>\n\r\n\r\n\r\n

\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8 <\/span>u=0,<\/span> \u0995\u09be\u099c\u09c7\u0987 <\/span>dW=dQ<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, W=Q=nRT \\ln(\\frac{V_2}{V_1})<\/span>.<\/span>\u00a0\u098f\u0987 \u0995\u09be\u099c \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6\u0995 \u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09e8-\u098f <\/span>aABb<\/span> \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

(\u09e8) \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>(Use of First Law of Thermodynamics in the case of Adiabatic Process)<\/b><\/h2>\r\n\r\n\r\n\r\n

\u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09cb\u09a8\u09cb \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u09a4\u09be\u09aa \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7; \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u099a\u09be\u09aa \u0993 \u0986\u09df\u09a4\u09a8 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09df \u09a4\u09be\u0995\u09c7 \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09ac\u09b2\u09c7\u0964 \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u09c7\u09b0 \u0986\u09a6\u09be\u09a8-\u09aa\u09cd\u09b0\u09a6\u09be\u09a8 \u09b9\u09df \u09a8\u09be\u0964 \u09a4\u09be\u0987 \u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7, <\/span>dQ=0<\/span>\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982,<\/span><\/p>\r\n\r\n\r\n\r\ndQ=0=du+dW<\/span>\r\n\r\n\r\n\r\n

\u09ac\u09be, du=-dW<\/span> ————————– (1.3)<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, dW=-du<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\u09b0\u09c2\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09c7\u09b0 \u09b8\u09ae\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae \u0995\u09b0\u09cd\u09a4\u09c3\u0995 \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u0995\u09be\u099c \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09b8\u09ae\u09cd\u09aa\u09be\u09a6\u09bf\u09a4 \u09b9\u09df \u09ac\u09b2\u09c7 \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf \u09a4\u09a5\u09be \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09df \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae \u09b6\u09c0\u09a4\u09b2 \u09b9\u09df\u0964 \u09aa\u0995\u09cd\u09b7\u09be\u09a8\u09cd\u09a4\u09b0\u09c7 \u09b0\u09c2\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09b8\u0982\u0995\u09cb\u099a\u09a8\u09c7 \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae \u0989\u09b7\u09cd\u09a3 \u09b9\u09df\u0964 \u098f\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09ac\u09be\u0987\u09b0\u09c7 \u09a5\u09c7\u0995\u09c7 \u09b6\u0995\u09cd\u09a4\u09bf \u09b8\u09b0\u09ac\u09b0\u09be\u09b9 \u0995\u09b0\u09c7 \u0995\u09be\u099c \u09b8\u09ae\u09cd\u09aa\u09a8\u09cd\u09a8 \u0995\u09b0\u09a4\u09c7 \u09b9\u09df\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09aa\u09cd\u09b0\u09be\u09a5\u09ae\u09bf\u0995 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09a8\u09bf\u09b9\u09bf\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf u_1<\/span> \u098f\u09ac\u0982 \u099a\u09c2\u09dc\u09be\u09a8\u09cd\u09a4 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09a8\u09bf\u09b9\u09bf\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf u_2<\/span> \u09b9\u09b2\u09c7, \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 1.3 \u0995\u09c7 \u09b2\u09c7\u0996\u09be \u09af\u09be\u09df,<\/span><\/p>\r\n\r\n\r\n\r\n

du=u_2-u_1=-dW<\/span><\/span><\/p>\r\n\r\n\r\n\r\n\\therefore u_2<u_1<\/span>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u09b8\u09be\u09b0\u09a3\u09c7\u09b0 \u09b8\u09ae\u09df \u09ac\u09be\u09b9\u09cd\u09af\u09bf\u0995 \u0995\u09be\u099c \u0995\u09b0\u09be\u09b0 \u099c\u09a8\u09cd\u09af \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09a8\u09bf\u09b9\u09bf\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09df, \u09ab\u09b2\u09c7 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u0993 \u09b9\u09cd\u09b0\u09be\u09b8 \u09aa\u09be\u09df\u0964<\/em><\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09a8\u09c1\u09b0\u09c2\u09aa\u09ad\u09be\u09ac\u09c7, \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09b8\u0982\u0995\u09cb\u099a\u09a8 \u09ac\u09be \u09b8\u0982\u09b0\u0995\u09cd\u09b7\u09a3\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7\u0993 dQ=0<\/span> \u09b9\u09df\u0964 \u09b8\u0982\u0995\u09cb\u099a\u09a8\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0993\u09aa\u09b0 \u0995\u09be\u099c \u0995\u09b0\u09be \u09b9\u09df \u09ac\u09b2\u09c7 W \u098b\u09a3\u09be\u09a4\u09cd\u09ae\u0995\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 1.3 \u09b9\u09a4\u09c7 \u09aa\u09be\u0987,<\/span><\/p>\r\n\r\n\r\n\r\n

du=-(-dW)=dW<\/span>————————– (1.4)<\/span><\/p>\r\n\r\n\r\n\r\n

\u09ac\u09be, u_2-u_1=dW<\/span>, \u098f\u0996\u09be\u09a8\u09c7, u_1<\/span> \u0993 u_2<\/span> \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u09aa\u09cd\u09b0\u09be\u09a5\u09ae\u09bf\u0995 \u0993 \u099a\u09c2\u09dc\u09be\u09a8\u09cd\u09a4 \u0985\u09a8\u09cd\u09a4\u09b0\u09cd\u09a8\u09bf\u09b9\u09bf\u09a4 \u09b6\u0995\u09cd\u09a4\u09bf\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\\therefore u_2>u_1<\/span> <\/span><\/p>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09b8\u0982\u0995\u09cb\u099a\u09a8\u09c7\u09b0 \u09b8\u09ae\u09df \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df, \u09ab\u09b2\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09aa\u09be\u09df\u0964<\/em> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 1.3 \u0993 1.4 \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u0997\u09be\u09a3\u09bf\u09a4\u09bf\u0995 \u09b0\u09c2\u09aa\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u09af\u09c7\u09b9\u09c7\u09a4\u09c1 \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7 \u09a4\u09be\u09aa\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u0986\u09a6\u09be\u09a8 \u09aa\u09cd\u09b0\u09a6\u09be\u09a8 \u09b9\u09df \u09a8\u09be, \u09a4\u09be\u0987 dQ=0<\/span>\u0964 \u0985\u09a4\u098f\u09ac \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u09aa\u09be\u0987,<\/span><\/p>\r\n\r\n\r\n\r\n

0=du+dW<\/span><\/span><\/p>\r\n\r\n\r\n\r\n\\therefore dW=-du<\/span>\r\n\r\n\r\n\r\n

\u09aa\u09cd\u09b0\u09be\u09b0\u09ae\u09cd\u09ad\u09bf\u0995 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09af\u09a6\u09bf \u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099a\u09be\u09aa, \u0986\u09df\u09a4\u09a8 \u0993 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 P_1,V_1<\/span> \u0993 T_1<\/span> \u098f\u09ac\u0982 \u099a\u09c2\u09dc\u09be\u09a8\u09cd\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u098f\u09a6\u09c7\u09b0 \u09ae\u09be\u09a8 P_2,V_2<\/span><\/span> \u0993 T_2<\/span><\/span> \u09b9\u09df \u09a4\u09be\u09b9\u09b2\u09c7 \u09aa\u09cd\u09b0\u09be\u09b0\u09ae\u09cd\u09ad\u09bf\u0995 \u09a5\u09c7\u0995\u09c7 \u099a\u09c2\u09dc\u09be\u09a8\u09cd\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09af\u09c7\u09a4\u09c7 \u0995\u09c3\u09a4 \u0995\u09be\u099c,<\/span><\/p>\r\n\r\n\r\n\r\nW=\\int_{V_1}^{V_2}PdV<\/span>\r\n\r\n\r\n\r\n

\r\n
\"Uses<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 <\/span>P<\/span>V<\/span>‘<\/span>=<\/span> \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span><\/p>\r\n\r\n\r\n\r\n\\therefore P=\\frac{\u09a7\u09cd\u09b0\u09c1\u09ac\u0995}{V}=KV<\/span>\r\n\r\n\r\n\r\n

\u09b8\u09c1\u09a4\u09b0\u09be\u0982 W=\\int_{V_1}^{V_2}\\frac{K}{V^{\\gamma}}dV=K\\Big[\\frac{V^{-\\gamma+1}}{-\\gamma+1}\\Big]_{V_1}^{V_2}<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

=K\\Big[\\frac{V^{1-\\gamma}}{1-\\gamma}\\Big]_{V_1}^{V_2}=\\frac{K}{1-\\gamma}[V_2^{1-\\gamma}-V_1^{1-\\gamma}]=\\frac{1}{1-\\gamma}[KV_2^{1-\\gamma}-KV_1^{1-\\gamma}]<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

=\\frac{1}{1-\\gamma}[P_2V_2^{\\gamma}V_2^{1-\\gamma}- P_1V_1^{\\gamma}V_1^{1-\\gamma} ]<\/span>[\\because P_1V_1^{\\gamma}=P_2V_2^{\\gamma}=K]<\/span><\/p>\r\n\r\n\r\n\r\n

=\\frac{1}{1-\\gamma}[P_2V_2-P_1V_1]=\\frac{1}{\\gamma-1}[P_1V_1-P_2V_2]<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

=\\frac{1}{1-\\gamma}[RT_1-RT_2]<\/span> [\\because PV=RT]<\/span> <\/span><\/p>\r\n\r\n\r\n\r\n

W=\\frac{R}{\\gamma-1}[T_1-T_2]]<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

(\u09e9) \u09a7\u09cd\u09b0\u09c1\u09ac \u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>(Use of First Law of Thermodynamics in the process of constant volume)<\/b><\/h2>\r\n\r\n\r\n\r\n

\u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09cb\u09a8\u09cb \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u0995\u09c7 \u09a7\u09cd\u09b0\u09c1\u09ac \u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be \u09ac\u09b2\u09c7\u0964 \u098f\u0987 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0 \u0985\u09a8\u09c1\u09af\u09be\u09df\u09c0,dV=0<\/span>; \u0985\u09a4\u098f\u09ac \u0995\u09be\u099c\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3,dW=PdV=0<\/span> \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u09b8\u09ae\u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7 \u0985\u09b0\u09cd\u09a5\u09be\u09ce dQ=du+PdV<\/span> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 PdV=0<\/span> \u09ac\u09b8\u09bf\u09df\u09c7 \u09aa\u09be\u0987, dQ=du<\/span>\u0964 P-V \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09ea \u09b8\u09ae\u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6 \u0995\u09b0\u09c7\u0964 \u09b8\u09ae\u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09c3\u09a4 \u0995\u09be\u099c \u09b6\u09c2\u09a8\u09cd\u09af\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\r\n
\"Uses\r\n
\u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09ea<\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u098f\u0987 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0985\u09a8\u09cd\u09a4\u09b8\u09cd\u09a5 \u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf \u09b8\u09b0\u09ac\u09b0\u09be\u09b9\u0995\u09c3\u09a4 \u09a4\u09be\u09aa\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964 \u0985\u09a8\u09cd\u09af\u09ad\u09be\u09ac\u09c7 \u09ac\u09b2\u09be \u09af\u09be\u09df \u09b8\u09ae\u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7 \u09aa\u09cd\u09b0\u09a6\u09a4\u09cd\u09a4 \u09a4\u09be\u09aa \u09aa\u09c1\u09b0\u09cb\u099f\u09be\u0987 \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09b0 \u0995\u09be\u099c\u09c7 \u09ac\u09cd\u09af\u09ac\u09b9\u09c3\u09a4 \u09b9\u09df\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

(\u09ea) \u09b8\u09ae\u099a\u09be\u09aa \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 <\/b>(Use of First Law of Thermodynamics in the case of isobaric process)<\/b><\/h2>\r\n\r\n\r\n\r\n

\u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09cb\u09a8\u09cb \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u099a\u09be\u09aa \u09a7\u09cd\u09b0\u09c1\u09ac \u09a5\u09be\u0995\u09c7 \u09a4\u09be\u0995\u09c7 \u09a7\u09cd\u09b0\u09c1\u09ac \u099a\u09be\u09aa \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be \u09ac\u09b2\u09c7\u0964 \u09b8\u09ae\u099a\u09be\u09aa \u09ac\u09be \u09b8\u09cd\u09a5\u09bf\u09b0 \u099a\u09be\u09aa\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 V_1<\/span> \u09a5\u09c7\u0995\u09c7 V_2<\/span>\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09b2\u09c7 \u0997\u09cd\u09af\u09be\u09b8 \u0995\u09b0\u09cd\u09a4\u09c3\u0995 \u09ae\u09cb\u099f \u0995\u09c3\u09a4 \u0995\u09be\u099c,<\/span><\/p>\r\n\r\n\r\n\r\n

W=\\int dW=\\int_{V_1}^{V_2}PdV<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

=P\\int_{V_1}^{V_2}=P[V_2-V_1]=P\\Delta V<\/span><\/span><\/p>\r\n\r\n\r\n\r\n

\r\n
\"Uses\r\n
\u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09eb<\/span><\/figcaption>\r\n<\/figure>\r\n<\/div>\r\n\r\n\r\n\r\n

\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0995\u09c3\u09a4 \u0995\u09be\u099c <\/span>=<\/span> \u099a\u09be\u09aa <\/span> \u0986\u09df\u09a4\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u0964 \u09b8\u09ae\u099a\u09be\u09aa \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df <\/span>P-V<\/span> \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u09e7.\u09eb\u0964 \u0987\u09b9\u09be <\/span>X-<\/span>\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09ac\u09be <\/span>V<\/span> \u098f\u09b0 \u09b8\u09ae\u09be\u09a8\u09cd\u09a4\u09b0\u09be\u09b2 \u098f\u0995\u099f\u09bf \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be\u0964<\/span><\/p>\r\n\r\n\r\n\r\n

\u099c\u09be\u09a8\u09be\u09b0 \u09ac\u09bf\u09b7\u09df <\/b>(Things to know):<\/b><\/h3>\r\n\r\n\r\n\r\n
    \r\n
  1. \u09b8\u09ae\u099a\u09be\u09aa \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09c3\u09a4 \u0995\u09be\u099c \u099a\u09be\u09aa \u098f\u09ac\u0982 \u0986\u09df\u09a4\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09a8\u09c7\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/li>\r\n
  2. \u09b8\u09ae\u0986\u09df\u09a4\u09a8 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09c3\u09a4 \u0995\u09be\u099c \u09b6\u09c2\u09a8\u09cd\u09af\u0964<\/span><\/li>\r\n
  3. \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09c3\u09a4 \u0995\u09be\u099c \u09b8\u09b0\u09ac\u09b0\u09be\u09b9\u0995\u09c3\u09a4 \u09a4\u09be\u09aa\u09b6\u0995\u09cd\u09a4\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/li>\r\n
  4. \u09b0\u09c1\u09a6\u09cd\u09a7\u09a4\u09be\u09aa\u09c0\u09df \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df <\/span>dW=-dU<\/span>\u0964 \u0985\u09b0\u09cd\u09a5\u09be\u09ce \u0995\u09c3\u09a4 \u0995\u09be\u099c \u0985\u09ad\u09cd\u09af\u09a8\u09cd\u09a4\u09b0\u09c0\u09a3 \u09b6\u0995\u09cd\u09a4\u09bf \u09b9\u09cd\u09b0\u09be\u09b8 \u09ac\u09be \u09ac\u09c3\u09a6\u09cd\u09a7\u09bf\u09b0 \u09b8\u09ae\u09be\u09a8\u0964<\/span><\/li>\r\n<\/ol>\r\n","protected":false},"excerpt":{"rendered":"

    \u09e7. \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u09a4\u09be\u09aa\u0997\u09a4\u09bf\u09ac\u09bf\u09a6\u09cd\u09af\u09be\u09b0 \u09aa\u09cd\u09b0\u09a5\u09ae \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09ac\u09cd\u09af\u09ac\u09b9\u09be\u09b0 (Uses of First Law of Thermodynamics in terms of Isothermal Process) \u09af\u09c7 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u0995\u09cb\u09a8\u09cb \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b8\u09cd\u09a5\u09bf\u09b0 \u09a5\u09be\u0995\u09c7 \u0995\u09bf\u09a8\u09cd\u09a4\u09c1 \u099a\u09be\u09aa \u0993 \u0986\u09df\u09a4\u09a8 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09bf\u09a4 \u09b9\u09df \u09a4\u09be\u0995\u09c7 \u09b8\u09ae\u09cb\u09b7\u09cd\u09a3 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be \u09ac\u09b2\u09c7\u0964 \u098f\u0987 \u09aa\u09cd\u09b0\u0995\u09cd\u09b0\u09bf\u09df\u09be\u09df \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u09c7\u09b0 \u0985\u09a8\u09cd\u09a4\u09b8\u09cd\u09a5<\/p>\n

    Read More<\/a><\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[50,4245,3029,51],"tags":[500,485,501,499,498,495,496,494,497],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/583"}],"collection":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/users\/2"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=583"}],"version-history":[{"count":25,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/583\/revisions"}],"predecessor-version":[{"id":12167,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/583\/revisions\/12167"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=583"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=583"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=583"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}