Modeling of the ion exchange in pulp suspensions by Gibbs energy minimization

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Abstract

The ion exchange processes, which occur when two compartments of aqueous solutions separated by a semipermeable interface are placed in aqueous electrolyte solutions, were modeled using the multiphase Gibbs energy-minimization method. The Gibbs energy-minimization technique was applied for the ion-exchange system consisting of pulp fibers and the surrounding aqueous bulk solution. In such a system, the anionic acid groups inside the fibers cause an uneven distribution of ionic species between the solution within the fiber walls and the solution external to the fibers. The method was tested with four cation concentrations, which are naturally present in the fibers and whose partitioning between the fiber phase and the external solution phase has been described earlier. Although the Donnan distribution constant is not explicitly calculated in the Gibbs energy-minimization model, the results are consistent with the Donnan equilibrium theory. With the Gibbs energy-minimization multiphase model, the formation of solid precipitates can also be calculated.
Original languageEnglish
Pages (from-to)627-638
JournalJournal of Solution Chemistry
Volume31
Issue number8
DOIs
Publication statusPublished - 2002
MoE publication typeA1 Journal article-refereed

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Ion Exchange
Gibbs free energy
Pulp
Ion exchange
Suspensions
optimization
fibers
Fibers
ions
energy
compartments
Electrolytes
Cations
Precipitates
precipitates
electrolytes
aqueous solutions
cations
acids
Acids

Keywords

  • thermodynamic model
  • Donnan equilibrium
  • ion exchange

Cite this

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title = "Modeling of the ion exchange in pulp suspensions by Gibbs energy minimization",
abstract = "The ion exchange processes, which occur when two compartments of aqueous solutions separated by a semipermeable interface are placed in aqueous electrolyte solutions, were modeled using the multiphase Gibbs energy-minimization method. The Gibbs energy-minimization technique was applied for the ion-exchange system consisting of pulp fibers and the surrounding aqueous bulk solution. In such a system, the anionic acid groups inside the fibers cause an uneven distribution of ionic species between the solution within the fiber walls and the solution external to the fibers. The method was tested with four cation concentrations, which are naturally present in the fibers and whose partitioning between the fiber phase and the external solution phase has been described earlier. Although the Donnan distribution constant is not explicitly calculated in the Gibbs energy-minimization model, the results are consistent with the Donnan equilibrium theory. With the Gibbs energy-minimization multiphase model, the formation of solid precipitates can also be calculated.",
keywords = "thermodynamic model, Donnan equilibrium, ion exchange",
author = "Pertti Koukkari and Risto Pajarre and H. Pakarinen",
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language = "English",
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Modeling of the ion exchange in pulp suspensions by Gibbs energy minimization. / Koukkari, Pertti; Pajarre, Risto; Pakarinen, H.

In: Journal of Solution Chemistry, Vol. 31, No. 8, 2002, p. 627-638.

Research output: Contribution to journalArticleScientificpeer-review

TY - JOUR

T1 - Modeling of the ion exchange in pulp suspensions by Gibbs energy minimization

AU - Koukkari, Pertti

AU - Pajarre, Risto

AU - Pakarinen, H.

PY - 2002

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N2 - The ion exchange processes, which occur when two compartments of aqueous solutions separated by a semipermeable interface are placed in aqueous electrolyte solutions, were modeled using the multiphase Gibbs energy-minimization method. The Gibbs energy-minimization technique was applied for the ion-exchange system consisting of pulp fibers and the surrounding aqueous bulk solution. In such a system, the anionic acid groups inside the fibers cause an uneven distribution of ionic species between the solution within the fiber walls and the solution external to the fibers. The method was tested with four cation concentrations, which are naturally present in the fibers and whose partitioning between the fiber phase and the external solution phase has been described earlier. Although the Donnan distribution constant is not explicitly calculated in the Gibbs energy-minimization model, the results are consistent with the Donnan equilibrium theory. With the Gibbs energy-minimization multiphase model, the formation of solid precipitates can also be calculated.

AB - The ion exchange processes, which occur when two compartments of aqueous solutions separated by a semipermeable interface are placed in aqueous electrolyte solutions, were modeled using the multiphase Gibbs energy-minimization method. The Gibbs energy-minimization technique was applied for the ion-exchange system consisting of pulp fibers and the surrounding aqueous bulk solution. In such a system, the anionic acid groups inside the fibers cause an uneven distribution of ionic species between the solution within the fiber walls and the solution external to the fibers. The method was tested with four cation concentrations, which are naturally present in the fibers and whose partitioning between the fiber phase and the external solution phase has been described earlier. Although the Donnan distribution constant is not explicitly calculated in the Gibbs energy-minimization model, the results are consistent with the Donnan equilibrium theory. With the Gibbs energy-minimization multiphase model, the formation of solid precipitates can also be calculated.

KW - thermodynamic model

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KW - ion exchange

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