{"id":3398,"date":"2022-03-24T05:50:05","date_gmt":"2022-03-24T05:50:05","guid":{"rendered":"https:\/\/stage-wp.10minuteschool.com\/?p=3398"},"modified":"2023-06-22T15:38:24","modified_gmt":"2023-06-22T09:38:24","slug":"conductivity-of-electrolytes","status":"publish","type":"post","link":"https:\/\/10minuteschool.com\/content\/conductivity-of-electrolytes\/","title":{"rendered":"\u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be (Conductivity of electrolytes)"},"content":{"rendered":"<p><span style=\"font-weight: 400;\">\u0986\u09df\u09a8\u09bf\u0995 \u09af\u09cc\u0997\u09c7\u09b0 \u099c\u09b2\u09c0\u09df \u09a6\u09cd\u09b0\u09ac\u09a3\u09c7 \u0985\u09a5\u09ac\u09be \u0997\u09b2\u09bf\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09a4\u09dc\u09bf\u09ce \u09ac\u09be \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09a4 \u09aa\u09b0\u09bf\u09ac\u09b9\u09a8 \u0995\u09b0\u09be\u09b0 \u0995\u09cd\u09b7\u09ae\u09a4\u09be\u0995\u09c7 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09ac\u09b2\u09c7\u0964 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3\u0997\u09a4 \u09ad\u09be\u09ac\u09c7 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09b0\u09cb\u09a7\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09cd\u09a4\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u09b9\u09b2\u09cb \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u0964 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09df\u09c7 \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09bf\u09a4 \u09b9\u0993\u09df\u09be\u09b0 \u0995\u09be\u09b2\u09c7 \u0986\u09df\u09a8\u0997\u09c1\u09b2\u09cb \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a4\u09dc\u09bf\u09ce \u09ac\u09b9\u09a8\u09c7\u09b0 \u09ac\u09bf\u09b0\u09c1\u09a6\u09cd\u09a7\u09c7 \u0990 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0 \u09af\u09be \u09ac\u09be\u09a7\u09be \u09b8\u09c3\u09b7\u09cd\u099f\u09bf \u0995\u09b0\u09c7, \u09a4\u09be\u0995\u09c7 \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09b0\u09cb\u09a7 \u09ac\u09b2\u09c7\u0964 \u09af\u09c7\u09ae\u09a8 \u0995\u09cb\u09a8\u09cb \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09b0\u09cb\u09a7 <span class=\"katex-eq\" data-katex-display=\"false\">R<\/span> \u098f\u09ac\u0982 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be <span class=\"katex-eq\" data-katex-display=\"false\">L<\/span> \u09b9\u09b2\u09c7, \u09a4\u0996\u09a8 <span class=\"katex-eq\" data-katex-display=\"false\">L=\\frac{1}{R}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995 : \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995 <\/span><span style=\"font-weight: 400;\">=<span class=\"katex-eq\" data-katex-display=\"false\">\\frac{1}{\\text {\u09b0\u09cb\u09a7\u09c7\u09b0 \u098f\u0995\u0995}}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">CGS<\/span> \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995 \u09b9\u09b2\u09cb <span class=\"katex-eq\" data-katex-display=\"false\">\u0993\u09b9\u09ae ^{-1}<\/span><\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">(ohm^{-1})<\/span><\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">SI<\/span> \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995 \u09b9\u09b2\u09cb \u09b8\u09bf\u09ae\u09c7\u09a8\u09cd\u09b8\u0964 \u09b8\u09bf\u09ae\u09c7\u09a8\u09cd\u09b8 S \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964 <span class=\"katex-eq\" data-katex-display=\"false\">1S = 1 ohm^{-1}<\/span><\/span><\/p>\n<ul>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af \u09a6\u09cd\u09b0\u09ac\u09a3\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09df\u09be \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9 \u0993\u09b9\u09ae\u09c7\u09b0 \u09b8\u09c2\u09a4\u09cd\u09b0 \u09ae\u09c7\u09a8\u09c7 \u099a\u09b2\u09c7\u0964<\/span><\/li>\n<li style=\"font-weight: 400;\" aria-level=\"1\"><span style=\"font-weight: 400;\">\u0995\u09a0\u09bf\u09a8 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ac\u09c7\u09b2\u09be\u09df \u09b0\u09a7 (resistance) \u09af\u09c7\u09ae\u09a8 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3 \u0995\u09b0\u09be \u09b9\u09df, \u09a4\u09c7\u09ae\u09a8\u09bf \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09ac\u09c7\u09b2\u09be\u09df \u09b0\u09cb\u09a7\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09b0\u09cd\u09a4\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be (conductance) \u09aa\u09b0\u09bf\u09ae\u09be\u09aa \u0995\u09b0\u09be \u09b9\u09df\u0964<\/span><\/li>\n<\/ul>\n<h2><b>\u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u09aa\u09cd\u09b0\u0995\u09be\u09b0\u09ad\u09c7\u09a6<\/b><b>(Different types of conductance<\/b><b>)<\/b> <span style=\"font-weight: 400;\">:<\/span><\/h2>\n<p><span style=\"font-weight: 400;\">(\u09e7) \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be [ <\/span><b>\u039a<\/b><b> (Kappa)<\/b><span style=\"font-weight: 400;\"> ]<\/span><\/p>\n<p><span style=\"font-weight: 400;\">(\u09e8) \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be <span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda \\text { (Lambda) }<\/span><\/span><span style=\"font-weight: 400;\">\u00a0]<\/span><\/p>\n<p><span style=\"font-weight: 400;\">(\u09e9) \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be [ <span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda_{m} \\text { \u09ac\u09be , } \\mu(\\mathbf{M} \\mathbf{U})<\/span><\/span><span style=\"font-weight: 400;\">\u00a0]<\/span><\/p>\n<h2><b>(\u09e7) \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be<\/b><b>(<\/b><b>Specific conductance of electrolytes<\/b><b>)<\/b><b>:<\/b><\/h2>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">1 cm<\/span> \u09a6\u09c2\u09b0\u09a4\u09cd\u09ac\u09c7 \u09a5\u09be\u0995\u09be \u0993 <span class=\"katex-eq\" data-katex-display=\"false\">1 cm^2<\/span><\/span><span style=\"font-weight: 400;\"> \u09aa\u09cd\u09b0\u09b8\u09cd\u09a5\u099a\u09cd\u099b\u09c7\u09a6 \u09ac\u09bf\u09b6\u09bf\u09b7\u09cd\u099f \u09a6\u09c1\u099f\u09bf \u09a4\u09dc\u09bf\u09ce\u09a6\u09cd\u09ac\u09be\u09b0\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af \u09a6\u09cd\u09b0\u09ac\u09a8\u09c7\u09b0 \u09b0\u09cb\u09a7\u0995\u09c7 \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09b0\u09cb\u09a7 (<span class=\"katex-eq\" data-katex-display=\"false\">\\rho<\/span>\u00a0<\/span><span style=\"font-weight: 400;\"> ) \u09ac\u09b2\u09c7\u0964 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09b0\u09cb\u09a7\u09c7\u09b0 \u09ac\u09bf\u09aa\u09b0\u09c0\u09a4 \u09b0\u09be\u09b6\u09bf\u0995\u09c7 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09ac\u09b2\u09be \u09b9\u09df\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u0995\u09c7 <\/span><b>\u039a<\/b><b> (Kappa)<\/b><span style=\"font-weight: 400;\"> \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2234<\/span><span style=\"font-weight: 400;\"> \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be, <\/span><span style=\"font-weight: 400;\"><b><span class=\"katex-eq\" data-katex-display=\"false\">\\mathbf{K}=\\frac{1}{\\rho}=\\frac{1}{R A}=\\left(\\frac{1}{R}\\right) \\times\\left(\\frac{1}{A}\\right)<\/span><\/b><\/span><span style=\"font-weight: 400;\">=<\/span><span style=\"font-weight: 400;\"> \u09a6\u09cd\u09b0\u09ac\u09a8\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u00d7 \u09b8\u09c7\u09b2 \u09a7\u09cd\u09b0\u09c1\u09ac\u0995<\/span><\/p>\n<p><span style=\"font-weight: 400;\">[ <\/span><span style=\"font-weight: 400;\">\u2234<\/span><span style=\"font-weight: 400;\"> \u09a6\u09cd\u09b0\u09ac\u09a3\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be <span class=\"katex-eq\" data-katex-display=\"false\">= \\frac{1}{R}<\/span><\/span><span style=\"font-weight: 400;\"> \u098f\u09ac\u0982 \u09b8\u09c7\u09b2 \u0997\u09c1\u09a3\u09be\u0999\u09cd\u0995\/\u09a7\u09cd\u09b0\u09c1\u09ac\u0995 <span class=\"katex-eq\" data-katex-display=\"false\">= \\frac{l}{A}<\/span><\/span><span style=\"font-weight: 400;\">\u00a0 ]<\/span><\/p>\n<h2><b>\u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995 <\/b><b>(<\/b><b>Unit of relative conductance<\/b><b>):<\/b><\/h2>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">CGS<\/span> \u09aa\u09a6\u09cd\u09a7\u09a4\u09bf\u09a4\u09c7 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u039a \u098f\u09b0 \u098f\u0995\u0995 <span class=\"katex-eq\" data-katex-display=\"false\">=\\frac{1}{R} \\times \\frac{l}{A}<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">=\\frac{1}{\u09b0\u09cb\u09a7\u09c7\u09b0\u00a0\u098f\u0995\u0995\u09a6\u09c8\u09b0\u09cd\u0998\u09cd\u09af\u09c7\u09b0\u00a0\u098f\u0995\u0995\u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2\u09c7\u09b0\u00a0\u098f\u0995\u0995}=\\frac{1}{\u0993\u09b9\u09ae} \\times \\frac{\u09b8\u09c7\u09ae\u09bf}{(\u09b8\u09c7\u09ae\u09bf)^2}=\u0993\u09b9\u09ae ^{-1} \u09b8\u09c7\u09ae\u09bf^{\u00a0-1} (ohm^{-1} cm^{-1})<\/span>\n<p>\u0995\u09cb\u09a8\u09cb \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u098f\u0995 \u0997\u09cd\u09b0\u09be\u09ae \u09a4\u09c1\u09b2\u09cd\u09af\u09ad\u09b0 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3\u09c7\u09b0 \u09a6\u09cd\u09b0\u09ac\u09a3\u0995\u09c7 \u098f\u0995 \u09b8\u09c7\u09a8\u09cd\u099f\u09bf\u09ae\u09bf\u099f\u09be\u09b0 (1cm) \u09a6\u09c1\u09b0\u09a4\u09cd\u09ac\u09c7 \u09a5\u09be\u0995\u09be \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09af\u09c1\u0995\u09cd\u09a4 \u09a4\u09dc\u09bf\u09ce\u09a6\u09cd\u09ac\u09be\u09b0\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b0\u09be\u0996\u09b2\u09c7 \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7 \u09a6\u09cd\u09b0\u09ac\u09a3\u099f\u09bf\u09b0 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09b9\u09df, \u09a4\u09be\u0995\u09c7 \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09ac\u09b2\u09c7\u0964 \u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u0995\u09c7 \u039b (Lamda) \u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964<\/p>\n<h2><b>(\u09e8) \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be (<\/b><b>Equivalent conductivity of electrolytes<\/b><b>)<\/b><b>:<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be, <\/span><span style=\"font-weight: 400;\">\u039b=<\/span><b>\u039a<\/b><span style=\"font-weight: 400;\">V<\/span><span style=\"font-weight: 400;\">eq.<\/span><span style=\"font-weight: 400;\">=<\/span><b>\u039a\u00a0<\/b><span style=\"font-weight: 400;\">V<\/span><span style=\"font-weight: 400;\">molar<\/span><span style=\"font-weight: 400;\">\u09a4\u09c1\u09b2\u09cd\u09af<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><span style=\"font-weight: 400;\">\u09b8\u0982\u0996\u09cd\u09af\u09be<\/span><span style=\"font-weight: 400;\">\u00a0(e)<\/span><span style=\"font-weight: 400;\">=<\/span><b>\u039a<\/b><span style=\"font-weight: 400;\">1<\/span><span style=\"font-weight: 400;\">C\u00d7\u2147<\/span><span style=\"font-weight: 400;\">=<\/span><b>\u039a<\/b><span style=\"font-weight: 400;\">1000<\/span><span style=\"font-weight: 400;\">C\u00d7\u2147<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><\/p>\n<p><b>\u00a0<\/b><span style=\"font-weight: 400;\">[C\u00a0<\/span><span style=\"font-weight: 400;\">\u098f\u09b0<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><span style=\"font-weight: 400;\">\u098f\u0995\u0995<\/span><span style=\"font-weight: 400;\">\u00a0mol\u00a0<\/span><span style=\"font-weight: 400;\">L<\/span><span style=\"font-weight: 400;\">-1<\/span><span style=\"font-weight: 400;\">\u00a0<\/span><span style=\"font-weight: 400;\">\u09b9\u09b2\u09c7<\/span><span style=\"font-weight: 400;\">]<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda=\\kappa \\times V_{e q .}=\\kappa \\times \\frac{V_{\\text {molar }}}{\\text { \u09a4\u09c1\u09b2\u09cd\u09af \u09b8\u0982\u0996\u09cd\u09af\u09be }(e)}=\\kappa \\times \\frac{1}{C \\times \\mathrm{e}}=\\kappa \\times \\frac{1000}{C \\times \\mathrm{e}}<\/span>\n<p><b>\u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995<\/b><b>(Unit of equivalent conductivity):<\/b><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda=\\kappa \\times V_{\\mathrm{eq}}=\\mathrm{ohm}^{-1} \\mathrm{~cm}^{-1} \\times \\mathrm{cm}^{3}(\\mathrm{~g}-\\text { equiv })^{-1}=\\mathrm{ohm}^{-1} \\mathrm{~cm}^{2}(\\mathrm{~g}-\\text { equiv })^{-1}<\/span>\n<h2><b>(<\/b><b>\u09e9)<\/b> <b>\u09a4\u09dc\u09bf\u09ce<\/b> <b>\u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0<\/b> <b>\u09ae\u09cb\u09b2\u09be\u09b0<\/b> <b>\u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be<\/b><b>(Molar conductivity of electrolytes):<\/b><\/h2>\n<p><span style=\"font-weight: 400;\">\u0995\u09cb\u09a8\u09cb \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u098f\u0995 \u09ae\u09cb\u09b2 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3\u09c7\u09b0 \u09a6\u09cd\u09b0\u09ac\u09a3\u0995\u09c7 \u098f\u0995 \u09b8\u09c7\u09a8\u09cd\u099f\u09bf\u09ae\u09bf\u099f\u09be\u09b0 <span class=\"katex-eq\" data-katex-display=\"false\">(1cm)<\/span> \u09a6\u09c1\u09b0\u09a4\u09cd\u09ac\u09c7 \u09a5\u09be\u0995\u09be \u09a6\u09c1\u099f\u09bf \u0989\u09aa\u09af\u09c1\u0995\u09cd\u09a4 \u09a4\u09dc\u09bf\u09ce\u09a6\u09cd\u09ac\u09be\u09b0\u09c7\u09b0 \u09ae\u09a7\u09cd\u09af\u09ac\u09b0\u09cd\u09a4\u09c0 \u09b8\u09cd\u09a5\u09be\u09a8\u09c7 \u09b0\u09be\u0996\u09b2\u09c7 \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09c7 \u09a6\u09cd\u09b0\u09ac\u09a3\u099f\u09bf\u09b0 \u09af\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09b9\u09df, \u09a4\u09be\u0995\u09c7 \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09ac\u09b2\u09c7\u0964 \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u0995\u09c7 <\/span><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda_{m}<\/span><\/span><span style=\"font-weight: 400;\">\u09aa\u09cd\u09b0\u09a4\u09c0\u0995 \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09aa\u09cd\u09b0\u0995\u09be\u09b6 \u0995\u09b0\u09be \u09b9\u09df\u0964 <span class=\"katex-eq\" data-katex-display=\"false\">V<\/span> \u0986\u09df\u09a4\u09a8\u09c7\u09b0 \u09a6\u09cd\u09b0\u09ac\u09a3\u09c7 \u098f\u0995 \u09ae\u09cb\u09b2 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af \u09a5\u09be\u0995\u09b2\u09c7 \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u0993 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u09ae\u09a7\u09cd\u09af\u09c7 \u09a8\u09bf\u09ae\u09cd\u09a8\u09b0\u09c2\u09aa \u09b8\u09ae\u09cd\u09aa\u09b0\u09cd\u0995 \u09b9\u09df:<\/span><\/p>\n<span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda_{m}=\\kappa \\times V_{\\text {Molar }}\\left[V_{\\text {molar }}=\\frac{1}{\\text { \u0998\u09a8\u09ae\u09be\u09a4\u09cd\u09b0\u09be }(C)}\\right]<\/span>\n<p><b>\u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u09b0 \u098f\u0995\u0995<\/b><b>(<\/b><b>Unit of molar conductivity<\/b><b>):<\/b><\/p>\n<p><span class=\"katex-eq\" data-katex-display=\"false\">\\therefore \\Lambda_{m}<\/span> \u098f\u09b0 \u098f\u0995\u0995 =<span class=\"katex-eq\" data-katex-display=\"false\">kappa<\/span>\u00a0 <span class=\"katex-eq\" data-katex-display=\"false\">\u098f\u09b0 \u098f\u0995\u0995 \\times \\frac{\u00a0 1}{\u0998\u09a8\u09ae\u09be\u09a4\u09cd\u09b0\u09be\u09b0\u00a0\u098f\u0995\u0995}=O h m^{-1} \\mathrm{~cm}^{-1} \\times \\frac{\\frac{1}{\\mathrm{~mol}}}{\\mathrm{~cm}^{3}}<\/span><\/p>\n<p>\u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">\\kappa=\\frac{1}{\\rho}=\\left(\\frac{1}{R}\\right) \\times\\left(\\frac{1}{A}\\right)<\/span><\/p>\n<p>\u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda=\\kappa \\times \\frac{V_{\\text {molar }}}{\\text { \u09a4\u09c1\u09b2\u09cd\u09af \u09b8\u0982\u0996\u09cd\u09af\u09be }}<\/span><\/p>\n<p>\u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be, <span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda_{m}=\\kappa \\times V_{\\text {Molar }}<\/span><\/p>\n<p><strong><span class=\"katex-eq\" data-katex-display=\"false\">3.5 cm^2 <\/span> \u0995\u09be\u09b0\u09cd\u09af\u0995\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09ab\u09b2 \u098f\u09ac\u0982 <span class=\"katex-eq\" data-katex-display=\"false\">0.6 cm<\/span> \u09aa\u09be\u09b0\u09b8\u09cd\u09aa\u09b0\u09bf\u0995 \u09a6\u09c1\u09b0\u09a4\u09cd\u09ac\u09c7 \u09b0\u09be\u0996\u09be \u09a6\u09c1\u099f\u09bf \u09a4\u09dc\u09bf\u09ce\u09a6\u09cd\u09ac\u09be\u09b0\u09c7 \u09ae\u09a7\u09cd\u09af\u09c7 0.5 M <span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span> \u09a6\u09cd\u09b0\u09ac\u09a3 \u09b0\u09be\u0996\u09b2\u09c7 \u09b8\u09bf\u09b8\u09cd\u099f\u09c7\u09ae\u099f\u09bf\u09b0 \u09ac\u09c8\u09a6\u09cd\u09af\u09c1\u09a4\u09bf\u0995 \u09b0\u09cb\u09a7 <span class=\"katex-eq\" data-katex-display=\"false\">520 ohm<\/span> \u09aa\u09be\u0993\u09df\u09be \u09af\u09be\u09df\u0964 \u09a4\u09be\u09b9\u09b2\u09c7, \u09a6\u09cd\u09b0\u09ac\u09a3\u099f\u09bf\u09b0 \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09a4\u09c1\u09b2\u09cd\u09af \u098f\u09ac\u0982 \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df \u0995\u09b0\u0964(If 0.5M H2SO4 solution is kept between two electrodes with an effective area of 3.5cm2 and 0.6m distance, we get 520 ohm electrical resistance. Define the relative equivalent conductivity and molar conductivity of the solution.)<\/strong><\/p>\n<p><b>Solution<\/b><span style=\"font-weight: 400;\">: \u0986\u09aa\u09c7\u0995\u09cd\u09b7\u09bf\u0995 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be <span class=\"katex-eq\" data-katex-display=\"false\">=\\frac{1}{\\rho}=\\frac{1}{\\mathrm{R}} \\cdot \\frac{1}{\\mathrm{~A}}=\\kappa(\\text { kappa })<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">\\therefore \\mathrm{K}=\\frac{1}{520} \\times \\frac{0.6}{3.5} \\mathrm{ohm}^{-1} \\mathrm{~cm}^{-1}=3.2967 \\times 10^{-4} \\mathrm{ohm}^{-1} \\mathrm{~cm}^{-1}<\/span>(Ans.)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7,<\/span><\/p>\n<p><span style=\"font-weight: 400;\">0.5 M <\/span><strong><span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span><\/strong><span style=\"font-weight: 400;\"> \u09a6\u09cd\u09b0\u09ac\u09a3 \u09ae\u09be\u09a8\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">1000 cm^3<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u09a6\u09cd\u09b0\u09ac\u09a3\u09c7 0.5 mole \u09ac\u09be 49g <\/span><strong><span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span><\/strong><span style=\"font-weight: 400;\"> \u09ac\u09be <\/span><strong><span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span><\/strong><span style=\"font-weight: 400;\"> \u098f\u09b0 \u098f\u0995\u0995 \u09a4\u09c1\u09b2\u09cd\u09af\u09ad\u09b0 \u09ac\u09bf\u09a6\u09cd\u09af\u09ae\u09be\u09a8\u0964<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09a4\u09be\u09b9\u09b2\u09c7, <span class=\"katex-eq\" data-katex-display=\"false\">V_{e q}=1000 \\mathrm{~cm}^{3}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2234<\/span><span style=\"font-weight: 400;\"> \u09a4\u09c1\u09b2\u09cd\u09af \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be =<span class=\"katex-eq\" data-katex-display=\"false\">\\Lambda=\\kappa V_{e q}=\\left(3.2967 \\times 10^{-4} \\times 1000\\right) \\mathrm{ohm}^{-1} \\mathrm{~cm}^{2}(\\text { g.equiv })^{-1}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\"><span class=\"katex-eq\" data-katex-display=\"false\">=0.32967 \\mathrm{ohm}^{-1} \\mathrm{~cm}^{2} \\text { (g.equiv) }^{-1}<\/span>(Ans.)<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09a8\u09bf\u09b0\u09cd\u09a3\u09df\u09c7\u09b0 \u0995\u09cd\u09b7\u09c7\u09a4\u09cd\u09b0\u09c7, 0.5 mole\u00a0<\/span><span style=\"font-weight: 400;\"><strong><span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span><\/strong> \u0986\u099b\u09c7 1000 <\/span><span style=\"font-weight: 400;\">c<\/span><span style=\"font-weight: 400;\">m<\/span><span style=\"font-weight: 400;\">3<\/span><span style=\"font-weight: 400;\"> \u098f<\/span><\/p>\n<p><span style=\"font-weight: 400;\">1 mole <\/span><strong><span class=\"katex-eq\" data-katex-display=\"false\">H{2}SO{4}<\/span><\/strong><span style=\"font-weight: 400;\">\u00a0 \u0986\u099b\u09c7 <span class=\"katex-eq\" data-katex-display=\"false\">2000 cm^3<\/span><\/span><span style=\"font-weight: 400;\">\u00a0\u098f<\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2234<\/span><span style=\"font-weight: 400;\"> <span class=\"katex-eq\" data-katex-display=\"false\">V_{\\text {molar }}=2000 \\mathrm{~cm}^{3}<\/span><\/span><\/p>\n<p><span style=\"font-weight: 400;\">\u2234<\/span><span style=\"font-weight: 400;\"> \u09ae\u09cb\u09b2\u09be\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be <\/span><span style=\"font-weight: 400;\">=<span class=\"katex-eq\" data-katex-display=\"false\">\\mu=\\kappa V_{\\text {molar }}=0.65934 \\mathrm{ohm}^{-1} \\mathrm{~cm}^{2} \\text { mole }^{-1}<\/span><\/span><\/p>\n","protected":false},"excerpt":{"rendered":"<p>\u0986\u09df\u09a8\u09bf\u0995 \u09af\u09cc\u0997\u09c7\u09b0 \u099c\u09b2\u09c0\u09df \u09a6\u09cd\u09b0\u09ac\u09a3\u09c7 \u0985\u09a5\u09ac\u09be \u0997\u09b2\u09bf\u09a4 \u0985\u09ac\u09b8\u09cd\u09a5\u09be\u09df \u09a4\u09dc\u09bf\u09ce \u09ac\u09be \u09ac\u09bf\u09a6\u09cd\u09af\u09c1\u09a4 \u09aa\u09b0\u09bf\u09ac\u09b9\u09a8 \u0995\u09b0\u09be\u09b0 \u0995\u09cd\u09b7\u09ae\u09a4\u09be\u0995\u09c7 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be \u09ac\u09b2\u09c7\u0964 \u09aa\u09b0\u09bf\u09ae\u09be\u09a3\u0997\u09a4 \u09ad\u09be\u09ac\u09c7 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09b0\u09cb\u09a7\u09c7\u09b0 \u09ac\u09cd\u09af\u09be\u09b8\u09cd\u09a4\u09be\u09a8\u09c1\u09aa\u09be\u09a4\u09bf\u0995 \u09b9\u09b2\u09cb \u0990 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7\u09b0 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09bf\u09a4\u09be\u0964 \u09a4\u09dc\u09bf\u09ce \u09ac\u09bf\u09b6\u09cd\u09b2\u09c7\u09b7\u09cd\u09af\u09c7 \u09aa\u09b0\u09bf\u09ac\u09be\u09b9\u09c0\u09b0 \u09ae\u09a7\u09cd\u09af \u09a6\u09bf\u09df\u09c7 \u09a4\u09dc\u09bf\u09ce \u09aa\u09cd\u09b0\u09ac\u09be\u09b9\u09bf\u09a4 \u09b9\u0993\u09df\u09be\u09b0 \u0995\u09be\u09b2\u09c7 \u0986\u09df\u09a8\u0997\u09c1\u09b2\u09cb \u09a6\u09cd\u09ac\u09be\u09b0\u09be \u09a4\u09dc\u09bf\u09ce<\/p>\n<p> <a class=\"redmore\" href=\"https:\/\/10minuteschool.com\/content\/conductivity-of-electrolytes\/\">Read More<\/a><\/p>\n","protected":false},"author":11,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[4233,3024,3032,50],"tags":[2467,2466,2468,2470,2469],"_links":{"self":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3398"}],"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\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/comments?post=3398"}],"version-history":[{"count":13,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3398\/revisions"}],"predecessor-version":[{"id":8389,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/posts\/3398\/revisions\/8389"}],"wp:attachment":[{"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/media?parent=3398"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/categories?post=3398"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/10minuteschool.com\/content\/wp-json\/wp\/v2\/tags?post=3398"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}