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Find the molar heat capacity in a proces...

Find 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

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`dU=C_(v)dT=[5/2R] (or) dT= (2dU)/(5R)` from first law of thermodynamics `dU=dQ-dW=Q-Q/4=(3Q)/4` , Now molar heat capacity
`C=(dQ)/(dT)=(Qxx5R)/(2(dU))= (5RQ)/(2[(3Q)/4])=10/3R`
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