Specific heats of an ideal gas at constant pressure and volume are denoted by Cp and Cv respectively. If γ = (Cp)/(Cv) and R it's the universal gas constant then Cv is equal to (a) ((γ-1))/((γ+1)) (b) ((γ-1))/(R) (c) Rγ (d) (R)/((γ-1))

Answer: (d). Cp - Cv = R and Cp = γ Cv. Cv(γ-1) = R ⇒ Cv = (R)/(γ-1) So the answer is (d) (R)/((γ-1)).

Specific heats of an ideal gas at constant pressure and volume are… | MHT CET 2021 (20 Sep, Shift 1)

Q39MHT CET 2021 · 20 SEP · SHIFT 1Easy

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

Specific heats of an ideal gas at constant pressure and volume are denoted by $C_p$ and $C_v$ respectively. If $\gamma = \frac{C_p}{C_v}$ and $R$ it's the universal gas constant then $C_v$ is equal to

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Answer: (d)

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

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Specific Heats of Gases - Cp, Cv, γ & Mayer's Relation question from MHT CET 2021 (20 Sep, Shift 1)

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