Skip to main content
Log in

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

  • Published:
Clays and Clay Minerals

Abstract

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

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. 78(1), 442–445.

    Article  Google Scholar 

  • Celeda, J. (1988) On theory of ionic volumes in dilute aqueous solutions of electrolyte: Collection Czechoslovak Chem. Commun. 53, 433–445.

    Article  Google Scholar 

  • Coker, H. (1976) Polarizability changes on ion hydration: J. Phys. Chem. 80(19), 2084.

    Article  Google Scholar 

  • Gradshteyn, I. S. and Ryzhik, I. M. (1980) Table of Integrals, Series and Products: Academic Press, New York.

    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), 1751–1752.

    Article  Google Scholar 

  • Low, P. F. (1987) Structural component of the swelling pressure of clays: Langmuir 3, 18–25.

    Article  Google 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, 353–368.

    Article  Google Scholar 

  • Marcus, Y. (1983) Ionic radii in aqueous solution: J. Solution Chem. 12, 271.

    Article  Google Scholar 

  • McBroom, R. B. and McQuarrie, D. A. (1987) Interaction of planar double layers in the modified Gouy-Chapman approximation: Cell Biophys. 11, 65–75.

    Article  Google Scholar 

  • Robinson, R. and Stokes, R. (1959) Electrolyte Solutions: Pitman Press, London.

    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), 4623–4630.

    Article  Google 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), 229–244.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Huerta, M.M., Curry, J.E. & McQuarrie, D.A. The Effect of Unequal Ionic Size on the Swelling Pressure in Clays. Clays Clay Miner. 40, 491–500 (1992). https://doi.org/10.1346/CCMN.1992.0400502

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1346/CCMN.1992.0400502

Key Words

Navigation