T-V curve of cyclic process is shown below, number of moles of the gas are n find the total work done during the cycle.

Since path AB and CD arc isochoric therefore work done is zero during path AB and CD. Process BC and DA are isothermal, thereforeWBC = nR2T0lnVCVB = 2nRT0ln 2WDA = nRT0ln VA VD = -nRT0ln 2Total work doneWBC+ WDA = 2nRT0ln 2 - nRT0 ln 2 = nRT0 ln 2