:Vapor pressure increases with temperature according to a standard formula ( see Clausius-Clapeyron equation ).
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This includes a required rethink of the probability of vaporization, and has consequences to the Clausius-Clapeyron equation.
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Chemical potentials can be used to explain the slopes of lines on a phase diagram by using the Clapeyron equation, which in turn can be derived from the Gibbs Duhem equation.
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If the heat of vaporization and the vapor pressure of a liquid at a certain temperature are known, the boiling point can be calculated by using the Clausius Clapeyron equation, thus:
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To derive the Carnot efficiency, which is ( a number less than one ), Kelvin had to evaluate the ratio of the work output to the heat absorbed during the isothermal expansion with the help of the Carnot-Clapeyron equation which contained an unknown function, known as the Carnot function.
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This result ( also known as the "'Clapeyron equation "') equates the slope of the tangent to the coexistence curve \ mathrm { d } P / \ mathrm { d } T, at any given point on the curve, to the function { L } / { T { \ Delta v } } of the specific latent heat L, the temperature T, and the change in specific volume \ Delta v.
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