Partition Equilibrium Between Charged Membrane and Single Electrolyte Aqueous Solution

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Partition Equilibrium Between Charged Membrane and Single Electrolyte Aqueous Solution

XU Tongwen; YANG Weihua; HE Binglin

^a Department of Applied Chemistry, University of Science and Technology of China, Hefei

230026, China

^b The State Key Laboratory of Functional Polymeric Materials for Adsorption and Separation,
Nankai University, Tianjin 300071, China

Received:1900-01-01 Revised:1900-01-01 Online:2001-09-28 Published:2001-09-28
Contact: XU Tongwen

离子在电解质溶液-荷电膜界面的分配平衡

徐铜文; 杨伟华; 何柄林

^aDepartment of Applied Chemistry, University of Science and Technology of China, Hefei

230026, China

^b The State Key Laboratory of Functional Polymeric Materials for Adsorption and Separation,
Nankai University, Tianjin 300071, China

通讯作者: 徐铜文

Abstract

Abstract: Ionic partition equilibrium in charged membrane immersed in solution of single electrolyte
with mono valence or multi-valence is systematically investigated and several expressions
are established for determination of partition coefficients. On this basis, the effects of
the ratio of membrane charge density to bulk electrolyte solution concentration, the charge
sign and valence of electrolyte ions and the type of membrane on the partition equilibrium
were analyzed and simulated within chosen parameters. It is revealed that ion partition is
not related solely with the respective concentrations but also definitely with the
concentration ratio of fixed group to bulk solution in addition to the charge sign and the
valence. For a counterion, the partition coefficient increases with this ratio and the
valence; while for a coion, the partition coefficient decreases with this ratio and the
valence. The theoretical calculations were compared with the experimental data and a good
agreement was observed.

Key words: partition coefficient, Donnan equilibrium, electrolyte, charged membrane

摘要： Ionic partition equilibrium in charged membrane immersed in solution of single electrolyte
with mono valence or multi-valence is systematically investigated and several expressions
are established for determination of partition coefficients. On this basis, the effects of
the ratio of membrane charge density to bulk electrolyte solution concentration, the charge
sign and valence of electrolyte ions and the type of membrane on the partition equilibrium
were analyzed and simulated within chosen parameters. It is revealed that ion partition is
not related solely with the respective concentrations but also definitely with the
concentration ratio of fixed group to bulk solution in addition to the charge sign and the
valence. For a counterion, the partition coefficient increases with this ratio and the
valence; while for a coion, the partition coefficient decreases with this ratio and the
valence. The theoretical calculations were compared with the experimental data and a good
agreement was observed.

关键词: partition coefficient;Donnan equilibrium;electrolyte;charged membrane

XU Tongwen, YANG Weihua, HE Binglin. Partition Equilibrium Between Charged Membrane and Single Electrolyte Aqueous Solution[J]. .

徐铜文, 杨伟华, 何柄林. 离子在电解质溶液-荷电膜界面的分配平衡[J]. CIESC Journal.

References

[1] Blank, R., Muth, K. H., Proskegerhards, S., et al., “Electrokinetic of charged porous
membranes”, Colloids and Surfaces A-Physicochemical and En~neering Aspects, 140,3-11 (199
8).
[2] Matsumoto, H., Tanioka, A., Murata, T., et al., “Effect of proton on potassium ion in
countertransport across fine porous charged membranes”, J. Phys. Chem. B, 102,5011-5016
(1998).
[3] Xu, T. W., Yang, W. H., He, B. L., “Fundamental study of crosslinking ion exchange
membrane made from engineering plastics”, In: The 1999 International Congress on Membranes
and Membrane Processes (ICOM’99), Toronto,Canada, 145 (1999).
[4] Xu, T. W., He, B. L., “Study on the insulator-to-conductor transition in SPPO
membranes-percolation theory approach”, Chinese J. Chem. Eng., 6 (4), 283-289 (1998).
[5] Garba, Y., Taha, S., Gondrexon, N., Dorange, G., “Ion transport modeling through
nanofiltration membranes”, J.of Membrane Sci., 160 (2), 187-200 (1999).
[6] Bowern, W. R., Filipov, A. N., Starov, V. M., “A model of the interaction between a
charged particle and a pore in a charged membrane surface”, Advances in Colloid and
Interface Science, 81 (1), 35-72 (1999).
[7] Hsu, J. P., Kuo, Y. C., “Modified Gouy-Chapman theory for an ion-penetrable charged
membrane”, J. Chem. Phy.,111 (10), 4807-4816 (1999).
[8] Chou, T. J., Tanioka, A., “Ionic behavior across charged membranes in methanol-water
solutions”, J. of Membrane Sci., 144, 275-284 (1998).
[9] Higa, M., Tanioka, A., Kira, A., “A novel measurement of Donnan potential at the
interface between a charged membrane and mixed salt solution”, J. Membr. Sci., 140, 213-
220 (1998).
[10] Leo, A., Hansch, C., Elkins, D., “Partition coefficients and their use”, Chemical
Review, 71 (6), 525-615 (1971).
[11] Higa, M., Tanioka, A., Miyasaka, K., “A study of ion permeation across a charged
membrane in multi-component ion system as a function of membrane charge density”,
J.Membrane Sci., 49, 145-169 (1990).
[12] Sonin, A., Grossman, G., “Ion transport through layered ion exchange membrane”, J.
Phys. Chem., 76 (26), 3996-4006 (1972).
[13] Ray, P., Shahi, V. K., Pathak, T. V., Ramachndra iah, G.,“Transport phenomenon as a
function of counter and coions in solution: chronopotentiometric behavior of anion exchange
membrane in different aqueous electrolyte solutions”, J. Membrane Sci., 160, 243-254
(1999).

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