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 PA and PB are the partial vapour pressures of the two constituents and xA and xB are the mole fractions of the liquid.

Sources

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