An ideal gas expands according to the law ${P V}^{3 / 2}$ = constant. We conclude

The adiabatic exponent of the gas

K = 1.5

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The molar heat capacity

C = C_{v} - 2 R

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Temperature increases during the process

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Such a process is not feasible

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Solution

The correct option is C The molar heat capacity $C = C_{v} - 2 R$
$C - C_{v} = \frac{R}{1 - K}$
$C = C_{v} + \frac{R}{1 - K} = C_{v} + \frac{R}{1 - \frac{3}{2}} = C_{v} - 2 R$

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