The cycle is shown in figure is made of one mole of perfect gas in a cylinder with a piston . The processes A to B and C to D are isochoric wheras process B to C and D to A are adiabatic, the work done in one cycle is `(V_(A)=V_(B)=V,V_(C)=V_(D) =2V "and " gamma=5//3)`

Options

A. `[1-4^(3)/(2)](P_(B)-P_(A))V`
B. `(3)/(2)[1-3^(2)/(3)](P_(B)-P_(A))V`
C. `(3)/(2)[1-2^(-2)/(3)](P_(B)-P_(A))V`
D. `(5)/(2)[1-2^(-2)/(3)](P_(B)-P_(A))V`

Answer

C