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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

a
25R
b
52R
c
103R
d
67R

detailed solution

Correct option is C

dU = CvdT = (52R)dT or dT = 2(dU)5R------(i)From first law of thermodynamicsdU = dQ - dW = Q-Q4= 3Q4. Now molar heat capacity C = dQdT = Q2(dU)5R = 5RQ2(3Q4)  = 103R

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