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Thermal Properties of Matter

JEE Main level, single correct, medium

59 of 126

Question 59 of 126

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 :-

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Answer: (D) $\dfrac{7}{2}R$

A diatomic gas has 5 degrees of freedom apart from vibrational degree of freedom. For each additional vibrational mode, degree of freedom is increased by

2

. So new degree of freedom,

f=5+2=7

Therefore, we require molar specific heat capacity at constant volume, which is given by

{C}_{v}=\dfrac{f}{2}R=\dfrac{7}{2}R

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JEE Main 2025 Apr 2 Shift 1 question paper

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