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4.0 g of a gas occupies 22.4 litres at NTP. The specific heat capacity of the gas at constant volume is 5.0JK–1. If the speed of sound in this gas at NTP is 952 ms–1, then the heat capacity at constant pressure is (Take gas constant R = 8.3 JK–1 mol–1)
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- 7.5 JK–1 mol–1
- 7.0 JK–1 mol–1
- 8.5 JK–1 mol–1
- 8.0 JK–1 mol–1
Correct Option: D
Molar mass of the gas = 4g/mol
Speed of sound
| V = √ | ⇒ 952 = √ | ||
| m | 4 × 10-3 |
| ⇒ γ = 1.6 = | = | ||
| 10 | 5 |
| Also, γ = | = | ||
| CV | 5 |
| So, CP = | = 8JK–1mol–1 [CV = 5.0 JK–1 given] | |
| CV |
