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The value of $\gamma\left(=\frac{C_p}{C_v}\right)$, for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to:
Detailed Solution
$\gamma=\frac{f+2}{f}$. $H_2$ (diatomic, f = 5): 7/5; He (monoatomic, f = 3): 5/3; X with an extra vibrational mode (f = 7): 9/7.
