Metaheuristic algorithms such as the genetic algorithm (GA) and cuckoo search (CS) algorithms have been widely used for phase equilibria computation. In the present work, correlation of the liquid-liquid splitting of 1,3-dioxolane + water and 1,4-dioxane + water mixtures using the buffers 3-n-morpholino-propanesulfonic acidacid (HEPPS), and the ionic-liquid (IL) tetra-methyl-ammonium 3-[4-(2-hydroxymethyl)-1-piperazinyl]propanesulfonate [TMA][EPPS] is performed by the GA-NRTL, CS-NRTL, GA-UNI-QUAC, and CS-UNIQUAC methods. Thermodynamically consistent binary interaction parameters are obtained after a rigorous investigation of the dimensionless excess Gibbs free energy of mixing G M (L)/RT topology thereby satisfying the Gibbs minor common tangent phase stability test. The results indicate that the GA-UNIQUAC method performs the best for correlating the biphasic regions with very high quantitative accuracies and well-resolved G M (L)/RT surface description. Furthermore, the UNIQUAC model is significantly enhanced by incorporating a thermodynamically consistent extended Pitzer-Debye-Hückel* (PDH*) contribution term considering weak electrostatic long-range interactions within the IL-rich phases.
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