1.

Derive the value of molar heat capacity as constant volume.

Answer»

According to the first law of thermodynamics,

dq = dU + PdV

Dividing both sides by dT, we have

dq / dT = (du + PdV) / dT

At constant volume dV = 0, then

dq / dT = (dU / dT) V

C= (dU / dT) v

Thus the heat capacity ai constant volume (Cv) is defined as the rate of change of internal energy with respect to temperature at constant volume.



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