2016
DOI: 10.1021/acs.iecr.5b04469
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Solution Structure of Isoactivity Equations for Liquid–Liquid Equilibrium Calculations Using the Nonrandom Two-Liquid Model

Abstract: Calculation of the liquid−liquid equilibrium (LLE) based on an activity coefficient model is a common and significant problem in chemical thermodynamics. This is usually carried out by either minimizing the Gibbs free energy of the system coupled with the stability test (tangent plane distance criterion) or solving the isoactivity equations. While established, the stability test requires a very robust algorithm. By contrast, it is easy to solve the isoactivity equations; nevertheless, the solution strongly dep… Show more

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Cited by 11 publications
(14 citation statements)
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“…N p is the number of liquid phases, N c is the number of components, and γ is the activity coefficient computed using the NRTL model. The conventional LLE parameter estimation approach, the K-value method, utilizes a phase equation [42] and iso-activity conditions while satisfying the material balance [43].…”
Section: Nrtl Parameter Estimationmentioning
confidence: 99%
“…N p is the number of liquid phases, N c is the number of components, and γ is the activity coefficient computed using the NRTL model. The conventional LLE parameter estimation approach, the K-value method, utilizes a phase equation [42] and iso-activity conditions while satisfying the material balance [43].…”
Section: Nrtl Parameter Estimationmentioning
confidence: 99%
“…In short, the polarity and hydrophobicity of the nonaqueous solvents are the most important properties for forming immiscible phases with the less polar phase, and the effect of extractants and salts should also be taken into account. There are many empirical thermodynamic models to correlate the phase equilibria of ternary, quaternary, and even more-complicated systems with nonelectrolytes and electrolytes, , and some predictive models for phase equilibria of nonelectrolytes. , However, quantitative studies on thermodynamic phase equilibria of NASX systems are lacking. It would be worthwhile to perform an in-depth study of the phase equilibria of NASX systems involving many extractants, nonaqueous solvents, and salts, to establish a thermodynamic equilibria library of NASX systems.…”
Section: Polar Molecular Organic Solventsmentioning
confidence: 99%
“…In general, solving the isoactivity (the K -value method) equations is numerically easier than GEM, such as calculating the liquid–liquid equilibrium based on solving the isoactivity equations with a nonrandom two-liquid (NRTL) model . In the present work, the extraction equilibria for uranyl nitrate extraction with diluted TBP and different HNO 3 concentrations in the aqueous phase were experimentally studied.…”
Section: Introductionmentioning
confidence: 99%