Duhem–Margules equation

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.