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The Effect of Unequal Ionic Size on the Swelling Pressure in Clays

Published online by Cambridge University Press:  28 February 2024

Marlene M. Huerta
Affiliation:
Department of Chemistry and the Institute of Theoretical Dynamics, University of California, Davis, California 95616-5295
Joan E. Curry
Affiliation:
Department of Chemistry and the Institute of Theoretical Dynamics, University of California, Davis, California 95616-5295
Donald A. McQuarrie
Affiliation:
Department of Chemistry and the Institute of Theoretical Dynamics, University of California, Davis, California 95616-5295
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Abstract

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In this paper, we use the unequal radius modified Gouy-Chapman theory to evaluate the effect of the ionic size of the electrolyte on the swelling pressures (II) in different clay systems immersed in electrolytic solutions. First the model is applied to a 1:1 electrolyte to show that the coion size is only important at surface charge densities much lower than those found in typical clay systems. The swelling pressure is calculated and the results are compared with experimental data. Literature ionic radii values are used to show the dependence of the swelling pressure on the specific counterions present. Next the model is applied to a 1:1 and 2:1 electrolyte mixture with unequal-sized counterions to show the swelling pressure is highly dependent on both counterion sizes. The unequal and same-sized cases are compared.

Type
Research Article
Copyright
Copyright © 1992, The Clay Minerals Society

References

Bhuiyan, L. B., Blum, L. and Henderson, D., 1983 The application of the modified Gouy Chapman theory to an electrical double layer containing asymmetric ions J. Chem. Phys. 781 442445 10.1063/1.444523.CrossRefGoogle Scholar
Celeda, J., 1988 On theory of ionic volumes in dilute aqueous solutions of electrolyte Collection Czechoslovak Chem. Commun. 53 433445 10.1135/cccc19880433.CrossRefGoogle Scholar
Coker, H., 1976 Polarizability changes on ion hydration J. Phys. Chem. 80 19 2084 10.1021/j100560a007.CrossRefGoogle Scholar
Gradshteyn, I. S. and Ryzhik, I. M., 1980 Table of Integrals, Series and Products New York Academic Press.Google Scholar
Huerta, M. M. and McQuarrie, D. A., 1991 Predicted trend in swelling pressure measurements for lithium, sodium, potassium and cesium montmorillonite Electrochimica Acta 36 11 17511752 10.1016/0013-4686(91)85039-A.CrossRefGoogle Scholar
Low, P. F., 1987 Structural component of the swelling pressure of clays Langmuir 3 1825 10.1021/la00073a004.CrossRefGoogle Scholar
Lubetkin, S. D., Middleton, S. R. and Ottewill, R. H., 1984 Some properties of clay-water dispersions Phil. Trans. R. Soc. Lond. A. 311 353368 10.1098/rsta.1984.0033.Google Scholar
Marcus, Y., 1983 Ionic radii in aqueous solution J. Solution Chem. 12 271 10.1007/BF00646201.CrossRefGoogle Scholar
McBroom, R. B. and McQuarrie, D. A., 1987 Interaction of planar double layers in the modified Gouy-Chapman approximation Cell Biophys. 11 6575 10.1007/BF02797113.CrossRefGoogle ScholarPubMed
Robinson, R. and Stokes, R., 1959 Electrolyte Solutions London Pitman Press.Google Scholar
Valleau, J. P. and Torrie, G. M., 1982 The electrical double layer III. Modified Gouy-Chapman theory with unequal ion sizes J. Chem. Phys. 76 9 46234630 10.1063/1.443542.CrossRefGoogle Scholar
Viani, B. E., Low, P. F. and Roth, C. B., 1983 Direct measurement of the relation between interlayer force and interlayer distance in the swelling of montmorillonite J. Colloid Interface Sci. 96 1 229244 10.1016/0021-9797(83)90025-5.CrossRefGoogle Scholar