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MHT CET 2024 (4 May, Shift 1) · Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation

Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2024 (4 May, Shift 1)

Q16MHT CET 2024 · 4 MAY · SHIFT 1Medium

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

According to the 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 KE + PE, i.e. $2 \times \dfrac{1}{2}R = R$ .
$C_V = \dfrac{5}{2}R + R = \dfrac{7}{2}R$
So the answer is (d) $\dfrac{7}{2}R$ .

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