Abstract

The SMx (x = 12, 8, or D) universal solvent models are implicit solvent models which using electronic structure calculations can compute solvation free energies at 298.15 K. While solvation free energy is an important thermophysical property, within the thermodynamic modeling of phase equilibrium, limiting (or infinite dilution) activity coefficients are preferred since they may be used to parameterize excess Gibbs free energy models to model phase equilibrium. Conveniently, the two quantities are related. Therefore the present study was performed to assess the ability to use the SMx universal solvent models to predict limiting activity coefficients. Two methods of calculating the limiting activity coefficient where compared: (1) the solvation free energy and self-solvation free energy were both predicted and (2) the self-solvation free energy was computed using readily available vapor pressure data. Overall the first method is preferred as it results in a cancellation of errors, specifically for the case in which water is a solute. The SM12 model was compared to both the Universal Quasichemical Functional-group Activity Coefficients (UNIFAC) and modified separation of cohesive energy density (MOSCED) models. MOSCED was the highest performer, yet had the smallest available compound inventory. UNIFAC and SM12 exhibited comparable performance. Therefore further exploration and research should be conducted into the viability of using the SMx models for phase equilibrium calculations.

Highlights

  • IntroductionLimiting (or infinite dilution) activity coefficients are of particular interest both in their fundamental and practical applications

  • Limiting activity coefficients are of particular interest both in their fundamental and practical applications

  • If the solvation free energy of a solute is computed in two different solvents, they can readily be used to compute the transfer free energy between the two solvents

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Summary

Introduction

Limiting (or infinite dilution) activity coefficients are of particular interest both in their fundamental and practical applications. The log limiting activity coefficient for solute i infinitely dilute in solvent j is proportional to the transfer free energy of i from a solution of pure i to pure j (in which it is infinitely dilute). Fundamentally, the limiting activity coefficient sheds insight into how favorable the interactions of i with j are relative to i with itself. This fundamental molecular-level understanding provides the framework that directly impacts design schemes for chemical processes [1].

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