{"id":2677,"date":"2022-03-24T16:34:33","date_gmt":"2022-03-24T16:34:33","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=2677"},"modified":"2023-06-19T15:58:51","modified_gmt":"2023-06-19T09:58:51","slug":"standard-temperature-and-pressure-and-ideal-gas-equation","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/standard-temperature-and-pressure-and-ideal-gas-equation\/","title":{"rendered":"\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u099a\u09be\u09aa \u098f\u09ac\u0982 \u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ac\u09be \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09df (Standard Temperature and Pressure and Ideal gas equation)"},"content":{"rendered":"<h2><b>\u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ac\u09be \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09df <\/b><strong>pV=nRT<\/strong>\u00a0<b>(Ideal Gas equation <\/b><b>: <\/b><strong>pV=nRT<\/strong><b>)<\/b><\/h2>\n<p><strong>m<\/strong><span style=\"font-weight: 400;\"> \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8, \u099a\u09be\u09aa \u0993 \u09aa\u09b0\u09ae \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 <\/span><strong>V,\u00a0p<\/strong><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <\/span><strong>T<\/strong><span style=\"font-weight: 400;\">\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ac\u09df\u09c7\u09b2\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987, <span class=\"katex-eq\" data-katex-display=\"false\">V \\propto \\frac{1}{p}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0, \u09af\u0996\u09a8 <\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <\/span><span style=\"font-weight: 400;\">T<\/span><span style=\"font-weight: 400;\"> \u09a7\u09cd\u09b0\u09c1\u09ac<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u09ac\u0982 \u099a\u09be\u09b0\u09cd\u09b2\u09b8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987, <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V \\propto T<\/span><\/span><span style=\"font-weight: 400;\">, \u09af\u0996\u09a8 <\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <\/span><span style=\"font-weight: 400;\">\u00a0p<\/span><span style=\"font-weight: 400;\"> \u09a7\u09cd\u09b0\u09c1\u09ac\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0985\u09a8\u09c1\u09aa\u09be\u09a4\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V \\propto \\frac{T}{p}<\/span> \u09af\u0996\u09a8 <\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\"> \u09a7\u09cd\u09b0\u09c1\u09ac<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">V=K \\frac{T}{p}<\/span>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{p V}{T}=K<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be, <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">p V=K T<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u0996\u09be\u09a8\u09c7 <\/span><span style=\"font-weight: 400;\">K<\/span><span style=\"font-weight: 400;\"> \u098f\u0995\u099f\u09bf \u09a7\u09cd\u09b0\u09c1\u09ac \u09b8\u0982\u0996\u09cd\u09af\u09be, \u098f\u09b0 \u09ae\u09be\u09a8 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ad\u09b0, <\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\"> \u0989\u09aa\u09b0 \u09a8\u09bf\u09b0\u09cd\u09ad\u09b0 \u0995\u09b0\u09c7\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09af\u09a6\u09bf <span class=\"katex-eq\" data-katex-display=\"false\">T_{1}<\/span><\/span><span style=\"font-weight: 400;\">,\u00a0\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">T_{2}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u2026\u2026\u2026\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">T_{n}<\/span><\/span><span style=\"font-weight: 400;\"> \u0995\u09c7\u09b2\u09ad\u09bf\u09a8 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09df \u098f\u09ac\u0982 <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{1}<\/span><\/span><span style=\"font-weight: 400;\">,\u00a0\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{2}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u2026\u2026\u2026\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">P_{n}<\/span><\/span><span style=\"font-weight: 400;\"> \u099a\u09be\u09aa\u09c7 \u0995\u09cb\u09a8\u09cb \u09a8\u09bf\u09b0\u09cd\u09a6\u09bf\u09b7\u09cd\u099f \u09ad\u09b0\u09c7\u09b0 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V_{1}<\/span><\/span><span style=\"font-weight: 400;\">,\u00a0\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V_{2}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u2026\u2026\u2026\u00a0<\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V_{n}<\/span><\/span><span style=\"font-weight: 400;\"> \u09b9\u09df, \u09a4\u09be\u09b9\u09b2\u09c7 \u0989\u09aa\u09b0\u09bf\u0989\u0995\u09cd\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u0985\u09a8\u09c1\u09b8\u09be\u09b0\u09c7,\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\frac{p_{1} V_{1}}{T_{1}}=\\frac{p_{2} V_{2}}{T_{2}}=\\ldots \\ldots \\ldots=\\frac{p_{n} V_{n}}{T_{n}}=K, \\quad \\text { \u09a7\u09cd\u09b0\u09c1\u09ac\u0995\u00a0 }<\/span> &#8230;\u00a0 \u00a0&#8230;\u00a0 \u00a0&#8230;(10.6)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09af\u09a6\u09bf \u098f\u0995 <strong>\u09ae\u09cb\u09b2 (<\/strong><\/span><strong>mole<\/strong><span style=\"font-weight: 400;\"><strong>)<\/strong> \u09ac\u09be \u098f\u0995 \u0997\u09cd\u09b0\u09be\u09ae \u0985\u09a3\u09c1 \u0997\u09cd\u09af\u09be\u09b8 \u09ac\u09bf\u09ac\u09c7\u099a\u09a8\u09be \u0995\u09b0\u09be \u09b9\u09df \u09a4\u09be\u09b9\u09b2\u09c7 \u09b8\u0995\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u098f\u0987 \u09a7\u09cd\u09b0\u09c1\u09ac \u09b8\u0982\u0996\u09cd\u09af\u09be\u09b0 \u09ae\u09be\u09a8 \u098f\u0995\u0987 \u09b9\u09df\u0964 \u09a4\u0996\u09a8 \u098f\u0987 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995\u0995\u09c7 <\/span><strong>R<\/strong><span style=\"font-weight: 400;\"> \u09a6\u09bf\u09df\u09c7 \u09a8\u09bf\u09b0\u09cd\u09a6\u09c7\u09b6 \u0995\u09b0\u09be \u09b9\u09df, \u0985\u09a8\u09cd\u09af\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 \u098f\u0995\u09c7 <\/span><strong>K<\/strong><span style=\"font-weight: 400;\"> \u09a6\u09bf\u09df\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09b8\u09c1\u09a4\u09b0\u09be\u0982 \u098f\u0995 \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{p V}{T}=R<\/span>\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be, <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">p V=R T<\/span> &#8230;\u00a0 \u00a0&#8230;\u00a0 \u00a0&#8230;(10.7)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u0995 \u09ae\u09cb\u09b2 \u09ac\u09be \u098f\u0995 \u0997\u09cd\u09b0\u09be\u09ae \u0997\u09cd\u09af\u09be\u09b8 \u09a8\u09be \u09a8\u09bf\u09df\u09c7 <\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\"> \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0997\u09cd\u09af\u09be\u09b8 \u09a8\u09cb\u0993\u09df\u09be \u09b9\u09df \u09af\u09be\u09b0 \u0986\u09df\u09a4\u09a8 <\/span><span style=\"font-weight: 400;\">V<\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 \u0990 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09a3\u09ac\u09bf\u0995 \u09ad\u09b0 \u09af\u09a6\u09bf <\/span><span style=\"font-weight: 400;\">M<\/span><span style=\"font-weight: 400;\"> \u09b9\u09df, \u09a4\u09ac\u09c7 \u098f\u0995 \u09ae\u09cb\u09b2 \u09ac\u09be \u098f\u0995 \u0997\u09cd\u09b0\u09be\u09ae \u0985\u09a3\u09c1 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09b9\u09ac\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{M}{m} V<\/span><\/span><span style=\"font-weight: 400;\">\u0964 \u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span><span style=\"font-weight: 400;\">(10.7)<\/span><span style=\"font-weight: 400;\"> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u09c7 <\/span><span style=\"font-weight: 400;\">V-<\/span><span style=\"font-weight: 400;\">\u098f\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">\\frac{M}{m} V<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09ac\u09b8\u09bf\u09df\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987,<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">p \\frac{M}{m} V=R T<\/span>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">\\text { \u09ac\u09be, } p V=\\frac{m}{M} R T<\/span> &#8230;\u00a0 \u00a0&#8230;\u00a0 \u00a0&#8230;<\/span>(10.8)<\/p>\n<p><span style=\"font-weight: 400;\">\u0995\u09bf\u09a8\u09cd\u09a4\u09c1 <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\frac{m}{M}<\/span><\/span><span style=\"font-weight: 400;\"> \u09b9\u099a\u09cd\u099b\u09c7 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u09ae\u09cb\u09b2\u09c7\u09b0 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09af\u09be \u09aa\u09c2\u09b0\u09cd\u09a3 \u09b8\u0982\u0996\u09cd\u09af\u09be \u09ac\u09be \u09ad\u0997\u09cd\u09a8\u09be\u0982\u09b6 \u09b9\u09a4\u09c7 \u09aa\u09be\u09b0\u09c7\u0964 \u098f\u0995\u09c7 <\/span><span style=\"font-weight: 400;\">n<\/span><span style=\"font-weight: 400;\"> \u09a6\u09bf\u09df\u09c7 \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09b2\u09c7 \u0989\u09aa\u09b0\u09bf\u0989\u0995\u09cd\u09a4 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09a6\u09be\u0981\u09dc\u09be\u09df,\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">p V=n R T<\/span> &#8230;\u00a0 \u00a0&#8230;\u00a0 \u00a0&#8230;(10.9)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u099f\u09bf \u09b9\u099a\u09cd\u099b\u09c7 \u09ac\u09df\u09c7\u09b2 \u0993 \u099a\u09be\u09b0\u09cd\u09b2\u09b8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0\u09c7\u09b0 \u09b8\u0982\u09af\u09c1\u0995\u09cd\u09a4 \u09b0\u09c2\u09aa\u0964 \u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3\u0995\u09c7 \u09b8\u09be\u09a7\u09be\u09b0\u09a3\u09a4 \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ac\u09be \u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09b0 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ac\u09b2\u09be \u09b9\u09df\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09af\u09c7 \u09b8\u0995\u09b2 \u0997\u09cd\u09af\u09be\u09b8 <strong>\u09ac\u09df\u09c7\u09b2 \u0993 \u099a\u09be\u09b0\u09cd\u09b2\u09b8\u09c7\u09b0<\/strong> \u09b8\u09c2\u09a4\u09cd\u09b0 \u09af\u09c1\u0997\u09cd\u09ae\u09ad\u09be\u09ac\u09c7 (\u0985\u09b0\u09cd\u09a5\u09be\u09ce <\/span><span style=\"font-weight: 400;\">10.9<\/span><span style=\"font-weight: 400;\"> \u09b8\u09ae\u09c0\u0995\u09b0\u09a3) \u09ae\u09c7\u09a8\u09c7 \u099a\u09b2\u09c7 \u09a4\u09be\u09a6\u09c7\u09b0\u0995\u09c7 <strong>\u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8<\/strong> \u09ac\u09b2\u09c7\u0964 \u0995\u09c7\u09ac\u09b2\u09ae\u09be\u09a4\u09cd\u09b0 \u09a8\u09bf\u09ae\u09cd\u09a8\u099a\u09be\u09aa \u0993 \u0989\u099a\u09cd\u099a \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09df \u0997\u09cd\u09af\u09be\u09b8 \u098f \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ae\u09c7\u09a8\u09c7 \u099a\u09b2\u09c7\u0964<\/span><\/p>\n<h3><b>\u09a6\u09c7\u0996\u09be\u0993 \u09af\u09c7, \u098f\u0995\u0995 \u099a\u09be\u09aa\u09c7 \u0995\u09cb\u09a8\u09cb \u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u098f\u0995 \u09ae\u09cb\u09b2\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09ac\u09a8\u09be\u09ae \u09aa\u09b0\u09ae \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u09b0 \u09a2\u09be\u09b2\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u09b8\u09b0\u09cd\u09ac\u099c\u09a8\u09c0\u09a8 \u0997\u09cd\u09af\u09be\u09b8 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995 <\/b><span style=\"font-weight: 400;\">R<\/span><b>\u0964<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u098f\u0995 \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u099c\u09a8\u09cd\u09af \u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09b9\u099a\u09cd\u099b\u09c7 <\/span><strong>pV=RT<\/strong><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u0995\u0995 \u099a\u09be\u09aa\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7 <\/span><span style=\"font-weight: 400;\">p=1<\/span><span style=\"font-weight: 400;\"> \u098f\u0995\u0995<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2234<span class=\"katex-eq\" data-katex-display=\"false\">V=RT<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u0985\u09b0\u09cd\u09a5\u09be\u09ce <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">V \\propto T<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ac\u09be,<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{V}{T}=R<\/span><\/span><\/p>\n<p><img loading=\"lazy\" class=\"aligncenter wp-image-2678 size-large\" src=\"https:\/\/10minuteschool.com\/content\/wp-content\/uploads\/2021\/11\/7.1-1-1024x588.png\" alt=\"Graph of V\/T=R Representing Equation Of Ideal Gas\" width=\"1024\" height=\"588\" srcset=\"https:\/\/10minuteschool.com\/content\/wp-content\/uploads\/2021\/11\/7.1-1-1024x588.png 1024w, https:\/\/10minuteschool.com\/content\/wp-content\/uploads\/2021\/11\/7.1-1-300x172.png 300w, https:\/\/10minuteschool.com\/content\/wp-content\/uploads\/2021\/11\/7.1-1-768x441.png 768w, https:\/\/10minuteschool.com\/content\/wp-content\/uploads\/2021\/11\/7.1-1.png 1052w\" sizes=\"(max-width: 1024px) 100vw, 1024px\" \/><span style=\"font-weight: 400;\">\u098f\u0996\u09a8 <\/span><span style=\"font-weight: 400;\">X-<\/span><span style=\"font-weight: 400;\">\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u09aa\u09b0\u09ae \u09ac\u09be \u0995\u09c7\u09b2\u09ad\u09bf\u09a8 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be <\/span><span style=\"font-weight: 400;\">T<\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 <\/span><span style=\"font-weight: 400;\">Y-<\/span><span style=\"font-weight: 400;\">\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09a6\u09bf\u0995\u09c7 \u098f\u0995\u0995 \u099a\u09be\u09aa\u09c7 \u098f\u0995 \u09ae\u09cb\u09b2 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09a8\u09bf\u09df\u09c7 \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0 \u0986\u0981\u0995\u09b2\u09c7 \u09b8\u09c7\u099f\u09bf \u09ae\u09c2\u09b2\u09ac\u09bf\u09a8\u09cd\u09a6\u09c1\u0997\u09be\u09ae\u09c0 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be \u09b9\u09ac\u09c7 (\u099a\u09bf\u09a4\u09cd\u09b0 : \u09e7\u09e6.\u09e9)\u0964 \u098f\u0987 \u09b8\u09b0\u09b2\u09b0\u09c7\u0996\u09be <\/span><span style=\"font-weight: 400;\">X-<\/span><span style=\"font-weight: 400;\">\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u09b8\u09be\u09a5\u09c7 \u09af\u09c7 \u0995\u09cb\u09a3 \u0989\u09ce\u09aa\u09a8\u09cd\u09a8 \u0995\u09b0\u09c7 \u09a4\u09be\u09b0 \u099f\u09cd\u09af\u09be\u09a8\u099c\u09c7\u09a8\u09cd\u099f\u0987 \u09b9\u099a\u09cd\u099b\u09c7 <\/span><strong>V-T<\/strong><span style=\"font-weight: 400;\"> \u09b0\u09c7\u0996\u09be\u09b0 \u09a2\u09be\u09b2\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09b8\u09b0\u09b2 \u09b0\u09c7\u0996\u09be\u09b0 \u0989\u09aa\u09b0\u09b8\u09cd\u09a5 <\/span><span style=\"font-weight: 400;\">A<\/span><span style=\"font-weight: 400;\"> \u09ac\u09bf\u09a8\u09cd\u09a6\u09c1 \u09a5\u09c7\u0995\u09c7 <\/span><span style=\"font-weight: 400;\">Y-<\/span><span style=\"font-weight: 400;\">\u0985\u0995\u09cd\u09b7\u09c7\u09b0 \u0989\u09aa\u09b0 \u0985\u0999\u09cd\u0995\u09bf\u09a4 \u09b2\u09ae\u09cd\u09ac <\/span><span style=\"font-weight: 400;\">AN<\/span><span style=\"font-weight: 400;\">\u0964\u00a0<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u098f\u0996\u09a8 <\/span><span style=\"font-weight: 400;\">ON=T<\/span><span style=\"font-weight: 400;\"> \u09a7\u09b0\u09b2\u09c7 <\/span><span style=\"font-weight: 400;\">AN=V<\/span><span style=\"font-weight: 400;\"> \u09b9\u09ac\u09c7\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09b8\u09c1\u09a4\u09b0\u09be\u0982 <\/span><span style=\"font-weight: 400;\">OA<\/span><span style=\"font-weight: 400;\"> \u09b0\u09c7\u0996\u09be\u09b0 \u09a2\u09be\u09b2 <span class=\"katex-eq\" data-katex-display=\"false\">=\\tan \\angle A O N=\\frac{A N}{O N}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">V-T<\/span><span style=\"font-weight: 400;\"> \u09b0\u09c7\u0996\u09be\u09b0 \u09a2\u09be\u09b2 <span class=\"katex-eq\" data-katex-display=\"false\">=\\frac{A N}{O N}=\\frac{V}{T}=R<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0985\u09b0\u09cd\u09a5\u09be\u09ce \u098f\u0995\u0995 \u099a\u09be\u09aa\u09c7\u09b0 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u098f\u0995 \u09ae\u09cb\u09b2\u09c7\u09b0 \u0986\u09df\u09a4\u09a8 \u09ac\u09a8\u09be\u09ae \u09aa\u09b0\u09ae \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09b2\u09c7\u0996\u099a\u09bf\u09a4\u09cd\u09b0\u09c7\u09b0 \u09a2\u09be\u09b2\u0987 \u09b9\u099a\u09cd\u099b\u09c7 \u0990 \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 <strong>\u09b8\u09b0\u09cd\u09ac\u099c\u09a8\u09c0\u09a8 \u0997\u09cd\u09af\u09be\u09b8 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/strong>\u0964<\/span><\/p>\n<h2><b>\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u099a\u09be\u09aa <\/b><b>(Standard Temperature and Pressure)<\/b><\/h2>\n<h3><strong>\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be (Standard temperature) :<\/strong><\/h3>\n<p><span style=\"font-weight: 400;\">\u09af\u09c7 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09df \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u099a\u09be\u09aa\u09c7 \u09ac\u09b0\u09ab \u0997\u09b2\u09c7 \u09aa\u09be\u09a8\u09bf\u09a4\u09c7 \u09aa\u09b0\u09bf\u09a3\u09a4 \u09b9\u09df \u09ac\u09be \u09aa\u09be\u09a8\u09bf \u099c\u09ae\u09c7 \u09ac\u09b0\u09ab\u09c7 \u09aa\u09b0\u09bf\u09a3\u09a4 \u09b9\u09df \u09b8\u09c7\u0987 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u0995\u09c7 \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09ac\u09b2\u09c7\u0964 \u09b8\u09c7\u09b2\u09b8\u09bf\u09df\u09be\u09b8 \u09b8\u09cd\u0995\u09c7\u09b2\u09c7 \u098f\u099f\u09bf<span class=\"katex-eq\" data-katex-display=\"false\">0^{\\circ} \\mathrm{C}<\/span><\/span>\u00a0<span style=\"font-weight: 400;\">\u098f\u09ac\u0982 \u0995\u09c7\u09b2\u09ad\u09bf\u09a8 \u098f\u0995\u0995\u09c7 <\/span><span style=\"font-weight: 400;\"><b><span class=\"katex-eq\" data-katex-display=\"false\">273.15 \\mathrm{~K}<\/span><\/b><\/span><\/p>\n<h3><b>\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u099a\u09be\u09aa <\/b><b>(Standard Pressure) <\/b><b>: <\/b><\/h3>\n<p><span style=\"font-weight: 400;\">\u09b8\u09ae\u09c1\u09a6\u09cd\u09b0\u09aa\u09c3\u09cd\u09b7\u09cd\u09a0\u09c7 <\/span><span style=\"font-weight: 400;\">45\u00b0<\/span><span style=\"font-weight: 400;\"> \u0985\u0995\u09cd\u09b7\u09be\u0982\u09b6\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">273.15 \\mathrm{~K}<\/span> <\/span><span style=\"font-weight: 400;\">\u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09df \u0989\u09b2\u09cd\u09b2\u09ae\u09cd\u09ac\u09ad\u09be\u09ac\u09c7 \u0985\u09ac\u09b8\u09cd\u09a5\u09bf\u09a4 <\/span><span style=\"font-weight: 400;\">760\u00a0mm<\/span><span style=\"font-weight: 400;\"> \u0989\u099a\u09cd\u099a\u09a4\u09be \u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09b6\u09c1\u09b7\u09cd\u0995 \u0993 \u09ac\u09bf\u09b6\u09c1\u09a6\u09cd\u09a7 \u09aa\u09be\u09b0\u09a6\u09b8\u09cd\u09a4\u09ae\u09cd\u09ad \u09af\u09c7 \u099a\u09be\u09aa \u09a6\u09c7\u09df \u09a4\u09be\u0995\u09c7 <strong>\u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u099a\u09be\u09aa<\/strong> \u09ac\u09b2\u09c7\u0964<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\begin{aligned}\n\n\\therefore \\text { \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u099a\u09be\u09aa } &amp;=760 \\mathrm{~mm} \\text { \u09aa\u09be\u09b0\u09a6\u09b8\u09cd\u09a4\u09ae\u09cd\u09ad \u099a\u09be\u09aa } \\\\\n\n&amp;=0.76 \\mathrm{~m} \\times 13596 \\mathrm{~kg} \\mathrm{~m}^{-3} \\times 9.806 \\mathrm{~ms}^{-2} \\\\\n\n&amp;=1.013 \\times 10^{5} \\mathrm{Nm}^{-2} \\\\\n\n&amp;=1.013 \\times 10^{5} \\mathrm{~Pa}\n\n\\end{aligned}<\/span>\n<h3><b>\u099a\u09be\u09aa\u09c7\u09b0 \u09ac\u09bf\u09ad\u09bf\u09a8\u09cd\u09a8 \u098f\u0995\u0995\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 <\/b><b>(Relationship between different units of pressure)<\/b><\/h3>\n<p><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\"> \u09ac\u09be\u09df\u09c1\u09ae\u09a8\u09cd\u09a1\u09b2\u09c0\u09df \u099a\u09be\u09aa <span class=\"katex-eq\" data-katex-display=\"false\">=1.013 \\times 10^{5} \\mathrm{Nm}^{-2}=1.013 \\times 10^{5} \\mathrm{~Pa}=760 \\mathrm{~mm}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09aa\u09be\u09b0\u09a6 \u099a\u09be\u09aa <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">=76 \\mathrm{~cm}<\/span><\/span><span style=\"font-weight: 400;\"> \u09aa\u09be\u09b0\u09a6 \u099a\u09be\u09aa\u0964 \u09aa\u09cd\u09b0\u09ae\u09be\u09a3 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u099a\u09be\u09aa \u09aa\u09c2\u09b0\u09cd\u09ac\u09c7 \u09b8\u09cd\u09ac\u09be\u09ad\u09be\u09ac\u09bf\u0995 \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u0993 \u099a\u09be\u09aa \u09ac\u09be <\/span><strong>N.T.P<\/strong><span style=\"font-weight: 400;\"> \u09a8\u09be\u09ae\u09c7 \u09aa\u09b0\u09bf\u099a\u09bf\u09a4 \u099b\u09bf\u09b2\u0964<\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0986\u09a6\u09b0\u09cd\u09b6 \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09ae\u09c0\u0995\u09b0\u09a3 \u09ac\u09be \u0997\u09cd\u09af\u09be\u09b8 \u09b8\u09c2\u09a4\u09cd\u09b0\u09be\u09ac\u09b2\u09bf\u09b0 \u09b8\u09ae\u09a8\u09cd\u09ac\u09df pV=nRT\u00a0(Ideal Gas equation : pV=nRT) m \u09ad\u09b0\u09c7\u09b0 \u0995\u09cb\u09a8\u09cb \u0997\u09cd\u09af\u09be\u09b8\u09c7\u09b0 \u0986\u09df\u09a4\u09a8, \u099a\u09be\u09aa \u0993 \u09aa\u09b0\u09ae \u09a4\u09be\u09aa\u09ae\u09be\u09a4\u09cd\u09b0\u09be \u09af\u09a5\u09be\u0995\u09cd\u09b0\u09ae\u09c7 V,\u00a0p \u098f\u09ac\u0982 T\u0964 \u09ac\u09df\u09c7\u09b2\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7 \u0986\u09ae\u09b0\u09be \u09aa\u09be\u0987, \u00a0, \u09af\u0996\u09a8 m \u098f\u09ac\u0982 T \u09a7\u09cd\u09b0\u09c1\u09ac \u098f\u09ac\u0982 \u099a\u09be\u09b0\u09cd\u09b2\u09b8\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09a5\u09c7\u0995\u09c7<\/p>\n<p> <a class=\"redmore\" href=\"https:\/\/10minuteschool.com\/content\/standard-temperature-and-pressure-and-ideal-gas-equation\/\">Read More<\/a><\/p>\n","protected":false},"author":9,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[51,4244,3028,50],"tags":[1964,1963,1960,1961,2018,2019,1962],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2677"}],"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\/9"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=2677"}],"version-history":[{"count":21,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2677\/revisions"}],"predecessor-version":[{"id":7849,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/2677\/revisions\/7849"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=2677"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=2677"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=2677"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}