Comparison of two modelling approaches for the interfacial tension of binary aqueous mixtures

Unlocking the Secrets of Liquid-Liquid Interfaces and Phase Equilibria: Exploring the Interplay of Critical Composition, Interfacial Tension, and Mutual Solubility

This study reveals pivotal insight into liquid-liquid interfaces by demonstrating that the interface composition mirrors that at the critical point. This revelation leads to the formulation of a novel liquid-liquid distribution law and thermodynamic inequality, establishing a direct connection between mutual solubility values and critical compositions. While particularly accurate for regular solutions, the findings exhibit substantial reliability in nonregular systems, supported by experimental data on binary and ternary mixtures. Importantly, the study illustrates that, with known critical compositions, interfacial tension data alone are sufficient for calculating mutual solubilities, providing a practical alternative for assessing molecular solubility. The paper further showcases the versatility of the simple bottle-testing (cloud-testing) method, effectively serving as both a tensiometer and a mutual-solubility meter. This method utilizes established critical composition data to predict the compositions and interfacial tension of coexisting phases concurrently, offering a cost-effective alternative to complex analytical techniques. As a notable outcome, given critical compositions, basic laboratory equipment such as a beaker and a syringe can equivalently function as both a tensiometer and a mutual solubility detector (e.g., GC). The paper also discusses the application of this method in understanding the liquid-liquid phase behavior in biological systems, exemplified by biomolecular condensates or Lewy bodies.

Simultaneous Predictions of Chemical and Phase Equilibria in Systems with an Esterification Reaction Using PC-SAFT

The study of chemical reactions in multiple liquid phase systems is becoming more and more relevant in industry and academia. The ability to predict combined chemical and phase equilibria is interesting from a scientific point of view but is also crucial to design innovative separation processes. In this work, an algorithm to perform the combined chemical and liquid-liquid phase equilibrium calculation was implemented in the PC-SAFT framework in order to predict the thermodynamic equilibrium behavior of two multicomponent esterification systems. Esterification reactions involve hydrophobic reacting agents and water, which might cause liquid-liquid phase separation along the reaction coordinate, especially if long-chain alcoholic reactants are used. As test systems, the two quaternary esterification systems starting from the reactants acetic acid + 1-pentanol and from the reactants acetic acid + 1-hexanol were chosen. It is known that both quaternary systems exhibit composition regions of overlapped chemical and liquid-liquid equilibrium. To the best of our knowledge, this is the first time that PC-SAFT was used to calculate simultaneous chemical and liquid-liquid equilibria. All the binary subsystems were studied prior to evaluating the predictive capability of PC-SAFT toward the simultaneous chemical equilibria and phase equilibria. Overall, PC-SAFT proved its excellent capabilities toward predicting chemical equilibrium composition in the homogeneous composition range of the investigated systems as well as liquid-liquid phase behavior. This study highlights the potential of a physical sound model to perform thermodynamic-based modeling of chemical reacting systems undergoing liquid-liquid phase separation.