Solution:
For a polytropic process $PV^x = \text{constant}$, the molar heat capacity is $C = C_v + \frac{R}{1-x}$. Here $x=3$ and for a monoatomic gas $C_v = \frac{3}{2}R$. Thus, $C = \frac{3}{2}R + \frac{R}{1-3} = \frac{3}{2}R - \frac{R}{2} = R$.
One mole of an ideal monoatomic gas undergoes a process described by the equation $PV^3 = \text{constant}$. The heat capacity of the gas during this process is: (2016 - II)
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