Abstract
While the original ion-interaction (Pitzer) equations of 1973 were adequate for many electrolytes to the limit of solubility, additional terms are needed for some systems of large solubility. A simple pattern of ionic-strength dependence is proposed for third, fourth, and higher virial coefficients. It is found to be very effective in representing the complex behavior of CaCl2(aq) as well as that of MgCl2(aq) at 25°C. Equations without ion association are presented for each system that are valid for the full range to 11.0 and 5.9 mol-kg−1, respectively, as well as simpler equations for limited molality ranges.
Similar content being viewed by others
REFERENCES
K. S. Pitzer, J. Phys. Chem. 77, 268 (1973).
K. S. Pitzer and G. Mayorga, J. Phys. Chem. 77, 2300 (1973).
H. L. Friedman, Ionic Solution Theory, Chap. 3 (Wiley-Interscience, New York, 1962).
K. S. Pitzer and J. J. Kim, J. Am. Chem. Soc. 96, 5701 (1974).
K. S. Pitzer, in Activity Coefficients in Electrolyte Solutions, 2nd edn., Chap. 3, K. S. Pitzer, ed. (CRC Press, Boca Raton, FL, 1991).
C. E. Harvie and J. H. Weare, Geochim. Cosmochim. Acta 44, 981 (1980).
V. K. Filippov and V. I. Nokhrin, Russ. J. Inorg. Chem. 30, 282, 289 (1985).
V. K. Filippov, N. A. Charykov, and V. Rumyantsev, Dokl. Akad. Nauk, SSSR, Fiz. Khim. 296, 665 (1987) (Engl. Transl. p. 936).
R. G. Anstiss and K. S. Pitzer, J. Solution Chem. 20, 849 (1991).
J. A. Rard and S. L. Clegg, J. Chem. Eng. Data 42, 819 (1997).
J. Ananthaswamy and G. Atkinson, J. Chem. Eng. Data 30, 120 (1985).
D. G. Archer, J. Phys. Chem. Ref. Data 20, 509 (1991).
D. G. Archer, J. Phys. Chem. Ref. Data 21, 793 (1992).
S. L. Clegg, J. A. Rard, and K. S. Pitzer, J. Chem. Soc. Faraday Trans. 90, 1875 (1994).
R. C. Phutela and K. S. Pitzer, J. Solution Chem. 12, 201 (1983).
N. A. Hewish, G. W. Neilson, and J. E. Enderby, Nature 297, 138 (1982).
J. A. Rard, A. Habenschuss, and F. H. Spedding, J. Chem. Eng. Data 22, 180 (1977).
R. A. Robinson and R. H. Stokes, Electrolyte Solutions, 2nd edn. revised, (Butterworths, London, 1965).
D. G. Archer and P. Wang, J. Phys. Chem. Ref. Data 19, 371 (1990).
R. N. Goldberg and R. L. Nuttall, J. Phys. Chem. Ref. Data 7, 263 (1978).
J. A. Rard and D. G. Miller, J. Chem. Eng. Data 26, 33, 38 (1981).
R. H. Stokes, Trans. Faraday Soc. 41, 642 (1945).
R. A. Robinson and R. H. Stokes, Trans. Faraday Soc. 36, 733 (1940).
R. A. Robinson and V. E. Bower, J. Res. Natl. Bur. Stand. U.S. A70, 305 (1966).
R. F. Platford, J. Phys. Chem. 72, 4053 (1968).
Y. C. Wu, R. M. Rush, and G. Scatchard, J. Phys. Chem. 72, 4048 (1968); 73, 2047 (1969).
Yu. G. Frolov, V. P. Nikolaev, M. Kh. Karapet'yants, and K. K. Vlasenko, Russ. J. Phys. Chem. 45, 1054 (1971).
J. Padova and D. Saad, J. Solution Chem. 6, 57 (1977).
D. Saad, J. Padova, and Y. Marcus, J. Solution Chem. 4, 983 (1975).
F. Kuschel and J. Seidel, J. Chem. Eng. Data 30, 440 (1985).
H. F. Gibbard, Jr., and A. F. Gossmann, J. Solution Chem. 3, 385 (1974).
H. S. Harned, in The Structure of Electrolytic Solutions, Chap. 10, W. J. Hamer, ed., (Wiley, New York, 1959).
K. S. Pitzer and G. Mayorga, J. Solution Chem. 3, 539 (1974).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Pitzer, K.S., Wang, P., Rard, J.A. et al. Thermodynamics of Electrolytes. 13. Ionic Strength Dependence of Higher-Order Terms; Equations for CaCl2 and MgCl2 . Journal of Solution Chemistry 28, 265–282 (1999). https://doi.org/10.1023/A:1022695525943
Issue Date:
DOI: https://doi.org/10.1023/A:1022695525943