Four moles of an ideal gas obeys the law p=aV3 and its indicator diagram is shown below. The shaded area is (where a is constant)

Dear Nehal

p=aV³         (v_o,p_o)  and (3v_o and 5p_o) lie on this curve

po = av_o³   ...........1

 and 

 5po = 27av_o³   ..........2

clearly these two points are not are not satisfieng the curve simultaneously.but from given figure it should be satisfied by this curve.

so posted problem has some error .please check and post again.

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Badiuddin

I have checked again sir, the answer is 3.5p_ov_o