Topological Isomorphism of Liquid–Vapor, Fusibility, and Solubility Diagrams: Analogues of Gibbs–Konovalov and Gibbs–Roozeboom Laws for Solubility Diagrams

Nikolay A. Charykov, Alexey V. Rumyantsev, Konstantin N. Semenov, Zhasulan Shaymardanov, Botogyz Shaymardanova, Н. А. Куленова, Marzhan Anuarbekovna Sadenova, L. V. Shushkevich, В. А. Кескинов, Alexander A. Blokhin

2023

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DOI 10.3390/pr11051405

Data confidence 70 medium

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Abstract

The comprehensive topological isomorphism of liquid–vapor, fusibility, and solubility diagrams in the proper sets of variables is proven with the aid of van der Waals equations of the shift in phase equilibrium. Analogues of Gibbs–Konovalov and Gibbs–Roozeboom laws are demonstrated in solubility diagrams of ternary and quaternary systems under crystallization of different types of solid solutions. For the demonstration, the quaternary reciprocal system K+,NH4+||Cl−,Br−−H2O and its ternary subsystems with modeling of the liquid phase within the framework of the classical Pitzer formalism are mainly used. An algorithm for calculating solubility equilibria in these systems is given.