One mole of a mono-atomic ideal gas is expanded by a process described by $P V^{3} = C$ where $C$ is a constant. The heat capacity of the gas during the process is given by ( $R$ is the gas constant).

2 R

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\frac{5}{2}

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\frac{3}{2} R

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R

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Solution

The correct option is D $R$
for mono atomic gas $γ = 5 / 3$
also by comparing to $P V^{n} = C \to n = 3$
heat capacity $C = \frac{R}{γ - 1} - \frac{R}{n - 1}$
$C = R$

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One mole of a mono-atomic ideal gas is expanded by a process described by PV3=C where C is a constant. The heat capacity of the gas during the process is given by (R is the gas constant).

The correct option is D Rfor mono atomic gas γ=5/3also by comparing toPVn=C→n=3heat capacity C=Rγ−1−Rn−1C=R

One mole of a mono-atomic ideal gas is expanded by a process described by $P V^{3} = C$ where $C$ is a constant. The heat capacity of the gas during the process is given by ( $R$ is the gas constant).

The correct option is D $R$
for mono atomic gas $γ = 5 / 3$
also by comparing to $P V^{n} = C \to n = 3$
heat capacity $C = \frac{R}{γ - 1} - \frac{R}{n - 1}$
$C = R$