According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is [2023]

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Solution

Q.
According to law of equipartition of energy the molar specific heat of a diatomic gas at constant volume where the molecule has one additional vibrational mode is [2023]

1 $\frac{3}{2} R$

2 $\frac{7}{2} R$

3 $\frac{9}{2} R$

4 $\frac{5}{2} R$

Ans.
(2)

Diatomic gas molecules have three translational degrees of freedom, two rotational degrees of freedom, and it is given that it has one vibrational mode. So there are two additional degrees of freedom corresponding to one vibrational mode. Therefore, total degrees of freedom = 7

$C_{V} = \frac{f R}{2} = \frac{7 R}{2}$

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