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Question:

Consider the following liquid-vapor equilibrium: Liquid ⇌ Vapor. Which of the following relations is correct?

dlnPdT=ΔHvRT²

dlnPdT=−ΔHvRT

dlnPdT²=−ΔHvT²

dlnGdT²=ΔHvRT²

Solution:

According to Clausius-Clapeyron's equation, dlnPdT=ΔHvRT². According to this equation, the rate at which the natural logarithm of the vapor pressure of a liquid changes with temperature is determined by the molar enthalpy of vaporization of the liquid, the ideal gas constant, and the temperature of the system.