# Duhem-Margules equation

The Duhem – Margules equation is a thermodynamic statement about the relationship between two types of particles in a liquid , in which the vapor can be regarded as the ideal gas . It is named after Pierre Duhem and Max Margules .

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

Here P A and P B are the partial pressures of the steam of the two components and x A and x B are the molar proportions of the liquids.

## literature

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