Question

One mole of an ideal monatomic gas undergoes a process described by the equation $PV^{3}=$ constant. The heat capacity of the gas during this process is -

• A. $\frac{3}{2}R$
• B. $\frac{5}{2}R$
• C. $2 \, R$
• D. $R$

Answer 1

Answer: (D)

$R$

Answer 2

$PV^{3} =C \left(n=3\right)$ Specific heat in polytropic process $PV^{n} =K$ $C =C_{V} + \frac{R}{1-n}$ $= \frac{3}{2} R + \frac{R}{1-3}$ $= \frac{3}{2} R - \frac{R}{2} = R$