Ion Exchange Equilibria for Ternary Systems from Binary Exchange Data

Allen, R. M.; Addison, PA

doi:10.1016/0300-9467(90)80067-m

Cited by 17 publications

(16 citation statements)

References 7 publications

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“…In this case, the activity coefficients in the liquid phase were calculated by using the Meissner and Kusik method . Likewise, a method to reduce the number of parameters was developed by Allen et al and Allen and Addison and later used by de Lucas et al by forcing the Wilson parameters to satisfy some constraints based on empirical relationships.…”

Section: Introductionmentioning

confidence: 99%

Comparison between Heterogeneous and Homogeneous MASS Action Models in the Prediction of Ternary Ion Exchange Equilibria

Valverde

Lucas

Rodrı́guez

1998

Ind. Eng. Chem. Res.

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In this paper two models for the prediction of multicomponent ion exchange equilibria were compared: one, a heterogeneous model, based on the mass action law in which ideal behavior for both the solution and the solid phase and the heterogeneity of ion exchange sites has been assumed, and the other a homogeneous model, based on the same mass action law in which nonideal behavior for both the solution and the solid phase has been taken into account. Considering counterions with different valences, the optimum value of the fraction of functional groups was obtained from binary systems data. It was shown that the energy distribution was practically symmetric. Likewise, a procedure for decreasing the number of adjustable parameters, based on the determination of the minimum linearly independent equilibria considering each equilibrium as a heterogeneous reaction, was developed. The adjustable parameters (namely, the equilibrium constants forced to satisfy the triangle rule) were used in the prediction of the ternary equilibrium data. In all cases the prediction of the heterogeneous model was in good agreement with experimental data. However, although the homogeneous model was somewhat superior to the heterogeneous model in the prediction of ternary systems, the comparison between both models did not allow us to distinguish statistically between them.

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Section: Introductionmentioning

confidence: 99%

Comparison between Heterogeneous and Homogeneous MASS Action Models in the Prediction of Ternary Ion Exchange Equilibria

Valverde

Lucas

Rodrı́guez

1998

Ind. Eng. Chem. Res.

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“…A similar model has been used by de Lucas Martinez et al (1992Martinez et al ( , 1993 for various binary and multicomponent systems on Amberlite IR-120, involving the ions H+, Na+, K+, Ca2+, and Mg2+. A method to reduce the number of model parameters has been developed by Allen et al (1989) and Allen and Addison (1990) by forcing the Wilson parameters to satisfy some constraints based on empirical relationships. Although the behavior of binary systems was satisfactorily described, the prediction of the third binary according to the triangle rule was not always in agreement with the experimental data.…”

Section: Introductionmentioning

confidence: 99%

A New Model for the Simulation of Ion Exchange Equilibria

Melis¹,

Cao²,

Morbidelli³

1995

Ind. Eng. Chem. Res.

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“…Following Shallcross et al (1988) and Allen and Addison (1990), the ion exchange is represented by a reversible reaction of the form, ZjRj.Mj + ZyM¡2,+z;RZiM, + z,M/",+…”

Section: Thermodynamic Modelingmentioning

confidence: 99%