n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes. A → B: Isothermal expansion at…

n mole of a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes. A → B : Isothermal expansion at temperature T so that the volume is doubled from $\displaystyle \mathrm{V}_1$ to $\displaystyle \mathrm{V}_2=2 \mathrm{~V}_1$ and pressure changes from $\displaystyle \mathrm{P}_1$ to $\displaystyle \mathrm{P}_2$. B → C : Isobaric compression at pressure $\displaystyle \mathrm{P}_2$ to initial volume $\displaystyle \mathrm{V}_1$. C → A : Isochoric change leading to change of pressure from $\displaystyle \mathrm{P}_2$ to $\displaystyle \mathrm{P}_1$. Total workdone in the complete cycle ABCA is :