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 -
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(3) dU=CVdT=52RdT or dT=2(dU)5R …..(i)
From first law of thermodynamics
Now molar heat capacity C=dQdT=Q2(dU)5R=5RQ23Q4=103R.