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MHT CET 2023 (12 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 2023 (12 May, Shift 1)

Q25MHT CET 2023 · 12 MAY · SHIFT 1Easy

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

The molar specific heat of an ideal gas at constant pressure and constant volume is $C_p$ and $C_v$ respectively. If $R$ is universal gas constant and $\gamma = \frac{C_p}{C_v}$ then $C_v =$

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Answer: (d)

Mayer: $C_p - C_v = R$ , with $C_p = \gamma C_v$ .
$C_v(\gamma - 1) = R \Rightarrow C_v = \frac{R}{\gamma-1}$
So the answer is (d) $\frac{R}{\gamma-1}$ .

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