Given, process AB is isothermal Work done by the gas in isothermal process AB is, ‌=WAB=nRT1‌ln(‌
V2
V1
) ‌=nRT1‌ln(‌
3V1
V1
) ‌=nRT1‌ln‌3 ‌=3RT1‌ln(3) Compression work of process BC on the gas is WBC‌=p∆V=p2(V1−3V1) ‌=−2p2V1=−‌
2
3
p2(3V1) ‌=−‌
2
3
⋅3RT1‌‌{∴p2(3V1)=3RT1} ‌=−2RT1 Work done in process CA=p∆V=0 Total work done in cyclic process ABCA is, WABCA‌=WAB+WBC+WCA ‌=3RT1‌ln‌3−2RT1 ‌=RT1(3‌ln(3−2)
