Clausius–Clapeyron equation and saturation vapour pressure: simple theory reconciled with practice
By Demetris Koutsoyiannis. European journal of physics, 2012
171 citations recorded by the source corpus.
While the Clausius–Clapeyron equation is very important as it determines the saturation vapour pressure, in practice it is replaced by empirical, typically Magnus-type, equations which are more accurate. It is shown that the reduced accuracy reflects an inconsistent assumption that the latent heat of vaporization is constant. Not only is this assumption unnecessary and excessive, but it is also contradictory to entropy maximization. There is an additional erroneous assumption for the derivation of the Clausius–Clapeyron equation, related to the equality of chemical potentials of the two phases, which does not affect the final result but puts into question the logical coherence of the equation's derivation. Removing these assumptions and using a pure entropy maximization framework we obtain a simple closed solution which is both theoretically consistent and accurate. Our discussion and derivation are relevant to students and specialists in statistical thermophysics and in geophysical sciences, and our results are ready for practical application in physics as well as in such disciplines as hydrology, meteorology and climatology.
Subfields: Biomedical Engineering, Economics and Econometrics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/dc74abb5247e890f5b2b31285241479c05a53920
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Citations in the corpus
- A Simple Accurate Formula for Calculating Saturation Vapor Pressure of Water and Ice (2018, background): “Koutsoyiannis recently derived an equation for calculating saturation vapor pressure of water on the basis of the Clausius–Clapeyron equation and indicated that the relative difference from the reference datasets was small from 2408 to 508C (Koutsoyiannis 2012).”