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Swelling and shrinking of a polyelectrolyte gel induced by a salt solution

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Abstract

The stability of a polyelectrolyte gel in solution results from a delicate balance between several competing thermodynamic forces, viz.

  1. (i)

    osmotic pressure of free ions in the gel,

  2. (ii)

    molecular interaction of solvent and polymer molecules,

  3. (iii)

    network elasticity,

  4. (iv)

    Debye-Htickel interaction of ions.

That balance may be upset by a decrease of temperature and by the addition of salt to the solvent. This results in a decrease of osmotic pressure and collapse of the gel to a small fraction of the initial volume. The effect can be reversed by increasing temperature and by removing salt from the solution. This paper presents an attempt to describe swelling and shrinking quantitatively and to understand the nature of the opposing forces. The volume of a particular polyacrylamide gel in a water acetone solution is represented as a function of the salt content and of temperature.

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References

  1. Flory, J. P.: Principles of polymer chemistry. Ithaca, London: Cornell University Press 1953

    Google Scholar 

  2. Gardon, J. L.: Cohesve-energy density. In: Encyclopedia of Polymer Science and Technology. Vol. 3. New York, London, Sydney: Interscience Publishers 1965

    Google Scholar 

  3. Janas, V. F..; Rodriguez, F.; Cohen, C. Ageing and thermodynamics of polyacrylamide gels. Macromolecules. 13 (1980) 977–983

    Google Scholar 

  4. Münster, A.: Statistische Thermodynamik, pp. 767–773. Berlin, Göttingen, Heidelberg: Springer 1956

    Google Scholar 

  5. Overbeek, J. Th. G.: The Donnan equilibrium. Progress in Biophys. and Biophys. Chem. 6 (1956) 57–84

    Google Scholar 

  6. Katchalsky, A.: Polyelectrolyte gels. Progress in Biophys. and Biophys. Chem. 4 (1954) 1–59

    Google Scholar 

  7. Buchanan, K. J.; Hird, B.; Letcher, T. M.: Hydrogels. Polymer Bulletin 15 (1986) 325–332

    Google Scholar 

  8. Donnan, F. G.: Theorie der Membrangleichgewichte und Membranpotentiale bei Vorhandensein von nicht dialysierenden Elektrolyten. Z. Elektrochemie 17 (1911) 572–581

    Google Scholar 

  9. Rička, J.; Tanaka, T.: Swelling of ionic gels: Quantitative performance of the Donnan theory. Macromolecules 17 (1984) 2916–2921

    Google Scholar 

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Rydzewski, R. Swelling and shrinking of a polyelectrolyte gel induced by a salt solution. Continuum Mech. Thermodyn 2, 77–97 (1990). https://doi.org/10.1007/BF01126716

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  • DOI: https://doi.org/10.1007/BF01126716

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