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Avogadro's Law & Gay Lussac's Law

The molar spe...

Question

The molar specific heat of an ideal gas at constant pressure and volume are $C_{p}$ and $C_{v}$ respectively. The value of $C_{v}$ is

R

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γ

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\frac{R}{γ - 1}

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\frac{γ R}{γ - 1}

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Solution

The correct option is C $\frac{R}{γ - 1}$
We know that $\frac{C_{p}}{C_{v}} = γ$ and $C_{p} - C_{v} = R$ .
Thus we get $C_{v} (\frac{C_{p}}{C_{v}} - 1) = R$
or, $C_{v} = \frac{R}{γ - 1}$

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