The molar heat capacity in a process of a diatomic gas if it does a work of Q4 when a heat of Q is supplied to it is
dU=CvdT=(52R)dT or dT=2(dU)5R
From first law of thermodynamics
dU=dQ−dW=Q−Q4=3Q4.Now molar heat
capacity C=dQdT=Q2(dU)5R=5RQ2(3Q4)=103R.