Heat capacity singularity of binary liquid mixtures at the liquid-liquid critical point

Phys Rev E Stat Nonlin Soft Matter Phys. 2013 Oct;88(4):042107. doi: 10.1103/PhysRevE.88.042107. Epub 2013 Oct 7.

Abstract

The critical anomaly of the isobaric molar heat capacity for the liquid-liquid phase transition in binary nonionic mixtures is explained through a theory based on the general assumption that their partition function can be exactly mapped into that of the Ising three-dimensional model. Under this approximation, it is found that the heat capacity singularity is directly linked to molar excess enthalpy. In order to check this prediction and complete the available data for such systems, isobaric molar heat capacity and molar excess enthalpy near the liquid-liquid critical point were experimentally determined for a large set of binary liquid mixtures. Agreement between theory and experimental results-both from literature and from present work-is good for most cases. This fact opens a way for explaining and predicting the heat capacity divergence at the liquid-liquid critical point through basically the same microscopic arguments as for molar excess enthalpy, widely used in the frame of solution thermodynamics.

Publication types

  • Research Support, Non-U.S. Gov't