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Question: Answered & Verified by Expert
If a gas has ' \(n\) ' degrees of freedom, the ratio of the specific heats \(\gamma\) of the gas is
PhysicsKinetic Theory of GasesJEE Main
Options:
  • A \(1+\frac{2}{n}\)
  • B \(1+\frac{\mathrm{n}}{2}\)
  • C \(1+\frac{1}{n}\)
  • D \(\frac{1+\mathrm{n}}{2}\)
Solution:
1574 Upvotes Verified Answer
The correct answer is: \(1+\frac{\mathrm{n}}{2}\)
$\gamma=\frac{C_P}{C_v}=\frac{\frac{f}{2} R+R}{\frac{f}{2} R}=1+\frac{2}{f}=1+\frac{2}{n}$

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