Thermodynamics of interphase equilibrium in system ion exchanger-solution of low molecular weight electrolyte

Ferapontov, N. B.; Горшков, В. И.; Parbuzina, L.R.; Strusovskaya, N. L.; Gagarin, A. N.

doi:10.1016/j.reactfunctpolym.2006.08.005

Cited by 7 publications

(1 citation statement)

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“…The activities of exchangeable ions in these Donnan-like models are typically represented as in classical Donnan theory, i.e., in terms of activity products widi oppositely charged ions (Myers and Boyd, 1956;Boyd et al, 1961;Wiklander, 1964;Hiemenz and Rajagopalan, 1997;Ferapontov et al, 2006). Due to the insolubility of exchanger species, however, a difficulty arises in that infinitely dilute reference states for defining activity coefficients cannot be established (Bonner et al, 1955).…”

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confidence: 99%

Gibbs-Duhem Equation for Ion-Exchanging Mixtures in Donnan Equilibrium with Electrolyte Solutions

Snyder¹

2011

Soil Science Society of America Journal

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An important chemical reaction in soil-water systems is ion exchange between electrically charged surfaces and bathing electrolyte solutions. Characterization of ion exchange by classical thermodynamic methods has been difficult, however, due to limitations in measuring activities of exchanger species. In the typical case of insoluble exchanger species, formulations based on Donnan membrane equilibria are limited by lack of infinitely dilute, reference states for defining activity coefficients. Gaines and Thomas determined activities of insoluble exchanger species by integrating a Gibbs-Duhem equation for a solid exchanger phase. Integration is difficult, howeveri for multielectrolyte systems with variable solvent activity. Snyder and Gavallaro merged the Donnan and GainesThomas theories by integrating a Gibbs-Duhem equation for a macroscopically homogeneous Donnanjlike mixture of solvent, electrolytes, and soluble or insoluble exchanger species equilibrated with an electrolyte solution across a semipermeable membrane. This formulation resolved many previous difficulties but still did not adequately account for osmotic pressure and electrolyte concentration differences occurring across the semipermeable membrane. Furthermore, the method of determining independent component masses, necessary for integrating, the Gibbs-Duhem equation, became complicated in systems with many chemical reactions. These problems were addressed in the current study by reformulating the theory using an extension of the De Donder chemical affinity theory. The formulation reduces to that of Gaines and Thomas in the limiting case of vanishing osmotic pressure and electrolyte concentration differences. Colloidal instability phenomena are treated as phase transitions, manifested by discontinuities in osmotic pressure-volume relations in the Gibbs-Duhem equation.

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confidence: 99%

Gibbs-Duhem Equation for Ion-Exchanging Mixtures in Donnan Equilibrium with Electrolyte Solutions

Snyder¹

2011

Soil Science Society of America Journal

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Acid Retardation Method and Its New Variants for the Separation of Components of Complex Solutions

Хамизов

Krachak²,

Vlasovskikh³

et al. 2023

Advances in Geochemistry, Analytical Chemistry, and Planetary Sciences

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Na+/Cu2+ ion exchange equilibrium on Zeolite A: a thermodynamic study

Perişanu

Oancea

2015

Adsorption

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The ion exchange isotherms at 302 K for Na ? / Cu 2? and Cu 2? /Na ? on zeolite A were determined for six total equivalent concentrations of the external solution, in the range 0.05-2.1 eq/L. Interpolated points from the curves fitted with different isotherms were used in the calculation of the selectivity coefficients. The activity coefficients in the external solution were calculated by means of the Pitzer model. Thermodynamic equilibrium constant values corresponding to different total concentrations of the external solution have been obtained investigating the reaction from both sides. The method of Gaines and Thomas, revised by Soldatov, based on the dependence of the normalized Kielland selectivity quotients on the copper ionic fraction in the zeolite was used in order to obtain the thermodynamic equilibrium constant value. The significance of the thermodynamic equilibrium constant and the reversibility of the process were analyzed, as well as the influence of the non-ideality of the zeolite and solution phases.

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Thermodynamics of interphase equilibrium in system ion exchanger-solution of low molecular weight electrolyte

Cited by 7 publications

References 20 publications

Gibbs-Duhem Equation for Ion-Exchanging Mixtures in Donnan Equilibrium with Electrolyte Solutions

Gibbs-Duhem Equation for Ion-Exchanging Mixtures in Donnan Equilibrium with Electrolyte Solutions

Acid Retardation Method and Its New Variants for the Separation of Components of Complex Solutions

Na+/Cu2+ ion exchange equilibrium on Zeolite A: a thermodynamic study

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