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JEE Main 2023 (25 Jan, Shift 2) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from JEE Main 2023 (25 Jan, Shift 2)

Q29JEE Main 2023 · 25 JAN · SHIFT 2Medium

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

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)

Diatomic: 3 translational + 2 rotational give $\dfrac{5}{2}R$ .
One vibrational mode adds $2 \times \dfrac{1}{2}R = R$ (KE + PE).
$C_V = \dfrac{7}{2}R$
So the answer is (d) $\dfrac{7}{2}R$ .

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