n mole a perfect gas undergoes a cyclic process ABCA (see figure) consisting of the following processes.
`A to B`: Isothermal expansion at temperature T so that the volume is doubled from `V_1` to `V_2 = 2V_1` and pressure changes from `P_1` to `P_2`
`B to C` : Isobaric compression at pressure `P_2` to initial volume `V_1`
` C to A` : Isochoric change leading to change of pressure from `P_2` to` P_1` .
Total work done in the complete cycle ABCA is :

Options

A. 0
B. `nRT (ln2 + 1/2)`
C. `nRTln2`
D. `nRT (ln2 - 1/2)`

Answer

D