{"id":253456,"date":"2022-09-10T11:04:33","date_gmt":"2022-09-10T05:34:33","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/if-one-mole-of-the-polyatomic-gas-is-having-two-vibrational-modes-and-%ce%b3-is-the-ratio-of-molar-specific-heats-for-polyatomic-gas-%ce%b3cpcv-then-the-value-of\/"},"modified":"2022-09-10T11:04:33","modified_gmt":"2022-09-10T05:34:33","slug":"if-one-mole-of-the-polyatomic-gas-is-having-two-vibrational-modes-and-%ce%b3-is-the-ratio-of-molar-specific-heats-for-polyatomic-gas-%ce%b3cpcv-then-the-value-of","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/if-one-mole-of-the-polyatomic-gas-is-having-two-vibrational\/","title":{"rendered":"\u00a0If one mole of the polyatomic gas is having two vibrational modes and\u00a0\u03b3\u00a0is the ratio of molar specific heats for polyatomic gas \u00a0\u03b3=CPCV\u00a0then the value of\u00a0\u03b3\u00a0is:"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"\u00a0If one mole of the polyatomic gas is having two vibrational modes and\u00a0\u03b3\u00a0is the ratio of molar specific heats for polyatomic gas \u00a0\u03b3=CPCV\u00a0then the value of\u00a0\u03b3\u00a0is:","custom_permalink":"question\/physics\/if-one-mole-of-the-polyatomic-gas-is-having-two-vibrational\/"},"categories":[],"acf":{"question":"<p>&nbsp;If one mole of the polyatomic gas is having two vibrational modes and&nbsp;<math style=\"font-family:'Times New Roman';\" xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">\u03b3<\/mi><\/math>&nbsp;is the ratio of molar specific heats for polyatomic gas &nbsp;<math style=\"font-family:'Times New Roman';\" xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mi mathvariant=\"normal\">\u03b3<\/mi><mo>=<\/mo><mfrac><msub><mi mathvariant=\"normal\">C<\/mi><mi mathvariant=\"normal\">P<\/mi><\/msub><msub><mi mathvariant=\"normal\">C<\/mi><mi mathvariant=\"normal\">V<\/mi><\/msub><\/mfrac><\/mrow><\/mfenced><\/math>&nbsp;then the value of&nbsp;<math style=\"font-family:'Times New Roman';\" xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi mathvariant=\"normal\">\u03b3<\/mi><\/math>&nbsp;is:<\/p>","options":[{"option":"<p>1.35<\/p>","correct":false},{"option":"<p>1.2<\/p>","correct":true},{"option":"<p>1.02<\/p>","correct":false},{"option":"<p>1.25<\/p>","correct":false}],"solution":"<p>2 vibrational modes means 4 degree of freedom corresponding to vibration.<\/p><p>degree of freedom n = 10(3 + 3 + 4)<\/p><p><math style=\"font-family:'Times New Roman';\" xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><msub><mi mathvariant=\"normal\">C<\/mi><mi mathvariant=\"normal\">p<\/mi><\/msub><msub><mi mathvariant=\"normal\">C<\/mi><mi mathvariant=\"normal\">v<\/mi><\/msub><\/mfrac><mo>=<\/mo><mi mathvariant=\"normal\">\u03b3<\/mi><mo>=<\/mo><mn>1<\/mn><mo>+<\/mo><mfrac><mn>2<\/mn><mi mathvariant=\"normal\">n<\/mi><\/mfrac><mo>=<\/mo><mn>1<\/mn><mo>+<\/mo><mfrac><mn>2<\/mn><mn>10<\/mn><\/mfrac><mo>=<\/mo><mn>1<\/mn><mo>.2<\/mo><mfenced><mrow><mi>for<\/mi><mtext>\u2009\u2009\u2009<\/mtext><mi>non<\/mi><mtext>\u2009\u2009<\/mtext><mi>linear<\/mi><\/mrow><\/mfenced><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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