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Question: The internal energy of a diatomic gas is given as U = U<sub>0</sub>V, where U<sub>0</sub> is a const...

The internal energy of a diatomic gas is given as U = U0V, where U0 is a constant. Molar heat capacity of gas is –

A

52\frac{5}{2} R

B

72\frac{7}{2} R

C

92\frac{9}{2} R

D

32\frac{3}{2} R

Answer

72\frac{7}{2} R

Explanation

Solution

U = U0V Ž nCVT = U0V Ž T µ V isobaric process

dVdT\frac{dV}{dT} = constant

Pn\frac{P}{n} = nRTV\frac{nRT}{V} = nRTconstantT\frac{\text{nRT}}{\text{constant}T}

C = CV + Rconstant\frac{R}{\text{constant}}

C = CV + R = 52\frac{5}{2} R + R = 72\frac{7}{2} R