The molar heat capacity in a process of a diatomic gas if it does a work of Q 4 , when a heat of Q is supplied to it is

Step-by-step solution

d U=C_V d T= ( 5 2 R ) d T or d T= 2(d U) 5 R From first law of thermodynamics, d U=d Q-d W=Q- Q 4 = 3 Q 4 Now, molar heat capacity, C= d Q d T = Q 2(d U) 5 R = 5 R Q 2 ( 3 Q 4 ) = 10 3 R