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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

Text Solution

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