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Thermodynamics of electrolytes. V. effects of higher-order electrostatic terms

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Abstract

The contribution of higher-order electrostatic terms (beyond the Debye-Hückel approximation) to the thermodynamic properties of mixed and pure electrolytes is investigated. It is found that these effects are important for cases of unsymmetrical mixing, especially when one ion has a charge of three units or more. The appropriate correction can be made by a purely electrostatic function since the mutual repulsion of ions of the same sign keeps them far enough apart that short-range forces have little effect. This function is evaluated, and several convenient approximations are also given. Application is made to systems mixing ions of the type 1–2 and 1–3. Higher-order limiting laws exist for symmetrical mixtures and for pure, unsymmetrical solutes, but these effects were not found to be significant in relationship to existing activity or osmotic-coefficient data.

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References

  1. K. S. Pitzer,J. Phys. Chem. 77, 268 (1973). Minor typographical errors in refs. 1–4 are corrected in subsequent papers of the series.

    Google Scholar 

  2. K. S. Pitzer and Guillermo Mayorga,J. Phys. Chem. 77, 2300 (1973).

    Google Scholar 

  3. K. S. Pitzer and Guillermo Mayorga,J. Solution Chem. 3, 539 (1974).

    Google Scholar 

  4. K. S. Pitzer and Janice J. Kim,J. Am. Chem. Soc. 96, 5701 (1974).

    Google Scholar 

  5. T. H. Gronwall, V. K. LaMer, and K. Sandved,Physik. Z. 29, 558 (1928).

    Google Scholar 

  6. H. P. Stock and B. Plewinsky,Ber. Bunsenges. Physik. Chem. 76, 694 (1972). Supplementary details have also been kindly provided by the authors through correspondence.

    Google Scholar 

  7. H. L. Friedman,Ionic Solution Theory (Interscience Publishers, New York, 1962).

    Google Scholar 

  8. R. A. Robinson, R. H. Wood, and P. J. Reilly,J. Chem. Thermodyn. 3, 461 (1971).

    Google Scholar 

  9. J. E. Mayer,J. Chem. Phys. 18, 1426 (1959).

    Google Scholar 

  10. H. S. Harned and R. Gary,J. Am. Chem. Soc. 77, 1994 (1955).

    Google Scholar 

  11. H. S. Harned and T. R. Paxton,J. Phys. Chem. 57, 531 (1953).

    Google Scholar 

  12. H. S. Harned and R. Gary,J. Am. Chem. Soc. 77, 4695 (1955).

    Google Scholar 

  13. H. S. Harned and C. M. Mason,J. Am. Chem. Soc. 53, 3377 (1931).

    Google Scholar 

  14. H. S. Harned and R. Gary,J. Am. Chem. Soc. 76, 5924 (1954).

    Google Scholar 

  15. H. S. Harned and C. G. Geary,J. Am. Chem. Soc. 59, 2032 (1937).

    Google Scholar 

  16. C. J. Downes,J. Chem. Soc., Faraday Trans. I. 68, 1964 (1972).

    Google Scholar 

  17. S. Lindenbaum, R. M. Rush, and R. A. Robinson,J. Chem. Thermodyn. 4, 381 (1972).

    Google Scholar 

  18. Y. C. Wu, R. M. Rush, and G. Scatchard,J. Phys. Chem. 72, 4048 (1968);73, 2047, 4433, 4434 (1969).

    Google Scholar 

  19. R. A. Robinson and V. E. Bower,J. Res, Nat. Bur. Std. 70A, 313 (1966).

    Google Scholar 

  20. R. A. Robinson and V. E. Bower,J. Res. Nat. Bur. Std. 69A, 19 (1965).

    Google Scholar 

  21. C. J. Downes,J. Chem. Eng. Data 18, 412 (1973).

    Google Scholar 

  22. R. A. Robinson and A. K. Covington,J. Res. Nat. Bur. Std. 72A, 239 (1968).

    Google Scholar 

  23. R. A. Robinson and V. E. Bower,J. Res. Nat. Bur. Std. 69A, 439 (1965).

    Google Scholar 

  24. R. A. Robinson, R. F. Platford, and C. W. Childs,J. Solution Chem. 1, 167 (1972).

    Google Scholar 

  25. M. Randall and G. F. Breckenridge,J. Am. Chem. Soc. 49, 1435 (1927).

    Google Scholar 

  26. M. H. Lietzke and R. W. Stoughton,J. Phys. Chem. 71, 662 (1967).

    Google Scholar 

  27. M. H. Lietzke and M. D. Danford,J. Chem. Eng. Data 17, 459 (1972).

    Google Scholar 

  28. C. M. Mason and D. B. Kellam,J. Phys. Chem. 38, 689 (1934).

    Google Scholar 

  29. H. S. Harned and A. B. Gancy,J. Am. Chem. Soc. 62, 627 (1958). See also appendix of ref. 4.

    Google Scholar 

  30. H. S. Harned and O. E. Schupp, Jr.,J. Am. Chem. Soc. 52, 3892 (1930).

    Google Scholar 

  31. J. S. Falcone, A. S. Levine, and R. H. Wood,J. Phys. Chem. 77, 2137 (1973).

    Google Scholar 

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Pitzer, K.S. Thermodynamics of electrolytes. V. effects of higher-order electrostatic terms. J Solution Chem 4, 249–265 (1975). https://doi.org/10.1007/BF00646562

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  • DOI: https://doi.org/10.1007/BF00646562

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