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Question: Answered & Verified by Expert
A diatomic gas molecule has translational, rotational and vibrational degrees of freedom. The $C_p / C_v$ is
PhysicsKinetic Theory of GasesJEE Main
Options:
  • A $1.67$
  • B $1.4$
  • C $1.29$
  • D $1.33$
Solution:
1421 Upvotes Verified Answer
The correct answer is: $1.33$
Degree of freedom $f=3$ (Translatory) +2 (rotatory) +1 (vibratory) $=6$
$\Rightarrow \frac{C_P}{C_V}=\gamma=1+\frac{2}{f}=1+\frac{2}{6}=\frac{4}{3}=1.33$

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