5. (a) Derive the Clausius-Clapeyron equation \( \ln \frac{P_2}{P_1} = \frac{\Delta_{vap}H}{R} \left( \frac{1}{T_1} - \frac{1}{T_2} \right). \). (5%)
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5. (a) Derive the Clausius-Clapeyron equation \( \ln \frac{P_2}{P_1} = \frac{\Delta_{vap}H}{R} \left( \frac{1}{T_1} - \frac{1}{T_2} \right). \). (5%)