Which equation describes the temperature dependence of vapour pressure according to Clapeyron?

The equation that best describes the temperature dependence of vapor pressure according to Clapeyron is related to the changes in entropy and volume during a phase transition. Specifically, the correct form captures how the vapor pressure changes with temperature as a function of the enthalpy of vaporization and the respective changes in entropy and volume.

The Clapeyron equation expresses the relationship between vapor pressure and temperature as follows: ( \frac{dp}{dT} = \frac{\Delta_{vap} H}{T \Delta_{v} V} ). This reflects the principle that the rate of change of vapor pressure with temperature is determined by the heat required for vaporization (enthalpy change) and the change in volume of the system.

The answer indicating the relationship of change in entropy to change in volume ( \frac{dp}{dT} = \frac{\Delta_{trs} S}{\Delta_{trs} V} ) essentially illustrates the same physical concept. Changes in entropy (which is a measure of the disorder or randomness in a system) and changes in volume associated with phase transitions dictate how vapor pressure behaves with temperature variations.

In this context, the correct choice correlates with the fundamentals of thermodynamics, demonstrating how phase equilibrium properties relate to