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One mole of an ideal monoatomic gas requires 207 J heat to raise the temperature by 10 K when heated at constant pressure. If the same gas is heated at constant volume to raise the temperature by the same 10 K, the heat required is
[Given the gas constant R = 8.3 J/ mol. K]
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- 198.7 J
- 29 J
- 215.3 J
- 124 J
Correct Option: D
| Cp = | R and Cv = | R | ||
| 2 | 2 |
We know that Qv = nCv∆T and Qp = nCp∆T
| ⇒ | = | . | ||
| Qp | 5 |
⇒ . Given Qp = 207 J ⇒ Qv ≅ 124 J
