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)

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