Duhem–Margules equation

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The Duhem–Margules equation, named for Pierre Duhem and Max Margules, is a thermodynamic statement of the relationship between the two components of a single liquid where the vapour mixture is regarded as an ideal gas:

$\left({\frac {d\,\ln \,P_{A}}{d\,\ln \,x_{A}}}\right)_{{T,P}}=\left({\frac {d\,\ln \,P_{B}}{d\,\ln \,x_{B}}}\right)_{{T,P}}$

where P_A and P_B are the partial vapour pressures of the two constituents and x_A and x_B are the mole fractions of the liquid.

Sources

Atkins, Peter and Julio de Paula. 2002. Physical Chemistry, 7th ed. New York: W. H. Freeman and Co.
Carter, Ashley H. 2001. Classical and Statistical Thermodynamics. Upper Saddle River: Prentice Hall.
Harris, Joseph. "The Duhem–Margules Equation." Algebraic Geometry. Harvard Science Center, Cambridge. 19 Oct. 2009. Lecture.

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