n moles 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 V1 to V2 and pressure changes from P1 to P2.
B → C: Isobaric compression at pressure P2 to initial volume V1.
C → A: Isochoric change leading to change of pressure from P2 to P1.
Total work done in the complete cycle ABCA is –
1
0
2
nRT(ln2 + 1/2)
3
nRTln2
4
nRT (ln2 – 1/2)