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Derive the value of molar heat capacity as constant volume. |
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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 Cv = (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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