Abstract
A modified version of the restricted primitive model for electrolyte solutions based on the mean spherical approximation (MSA) is applied to estimate the ionic strength dependence of the ionic product of water in aqueous solutions containing different salts, which are commonly used as background electrolytes (NaCl, KCl, KNO3, and NaC104). The modification involves the use of permittivity of the solvent as concentration-dependent parameter and a single average effective diameter. This is a way of including effects originated from the solvent which do not exist in the primitive model. In the case of potassium nitrate and sodium perchlorate, a complete methodology to calculate the effective diameter and density dependence of the dielectric constant has been proposed and developed. Fits between calculated and experimental pKw values are possible over wide concentration ranges using a single adjustable parameter, namely, the average hard core diameter of water.
Similar content being viewed by others
Explore related subjects
Discover the latest articles, news and stories from top researchers in related subjects.References
F. H. Stillinger,Theoretical Chemistry. Advanced and Perspectives; H. Eyring, and D. Henderson, eds., (Academic Press, New York, 1978), Vol. 3, pp. 177.
Y. Guisani, B. Guillot, and S. Bratos,J. Chem. Phys. (1988);88;
S. Bratos, Y. Guisani, and B. Guillot,Chemical Reactivity in Liquids: Fundamental Aspects, (Plenum Press, New York, 1988), pp 241.
G. I. Tawa and L. R. Pratt,J. Am. Chem. Soc. 117, 1625 (1995).
A. Nyberg and A. D. J. Haymet, inStructure and Reactivity in Solutions C. J. Cramer, D. G. Truhlar eds. (ACS Symnphosium Series, Washington, DC, 1984), Chap. 8.
A. Warshel,J. Phys. Chem. 83, 1640 (1979).
I. Kron, S. L. Marxhall, P. M. May, G. Hefler, and E. Könisberger,Monatsch. Chem. 126, 819 (1995).
I. Brandariz, S. Fiol, and M. Sastre de Vicente,Ber. Bunsenges. Phys. Chem. 99, 749 (1995).
K. S. Pitzer, inActivity Coefficients in Electrolyte Solutions, 2nd edn., K. Pitzer, ed.; CRC Press: Boca Raton, Florida, 1991. Chap. 3.
G. Scatchard,J. Amer. Chem. Soc. 83, 2636 (1961).
E. A. Guggenheim and J. C. Turgeon,Trans. Faraday Soc. 51, 747 1955.
R. Herrero, X. L. Armesto, F. Arce, and M. Sastre de VicenteJ. Solution Chem. 21, 1185 (1992),
I. Brandariz, F. Arce, X. L. Armesto, F. Penedo, and M. Sastre de VicenteMonatsh. Chem. 124, 249, (1993),
R. Herrero, I. Brandariz, and M. Sastre de Vicente,Ber. Bunsen-Ges. Phys. Chem. 97, 59 (1993),
S. Fiol, I. Brandariz, R. Herrero, T. Vilariño, and M. Sastre de Vicente,Ber. Bunsen-Ges. Phys. Chem. 98, 164 (1994).
I. Brandariz, R. Herrero, and M. Sastre de VicenteJ. Chim. Phys. 90, 63 (1993),
S. Fiol, I. Brandariz, and M. Sastre de Vicente,Marine Chem. 49, 215 (1995),
I. Brandariz, S. Fiol, and M. Sastre de Vicente,J. Solution Chem. 24, 1051 (1995).
H. L. Friedman,A Course in Statistical Mechanics; (Prentice Hall, Englewood Cliffs, NJ, 1985).
L. Blum,Mol. Phys. 30, 1529 (1975).
R. Triolo, J. R. Grigera, and L. Blum,J. Phys. Chem. 80, 1858 (1976).
L. Blum, and J. S. HØye,J. Phys. Chem. 81, 1311 (1977).
C. Sanchez-Castro and L. Blum,J. Phys. Chem. 93, 7478 (1989).
W. Ebeling and M. Grigo,J. Solution Chem. 11, 151 (1982).
T. Cartallier, P. Turq, L. Blum, and N. Condamine,J. Phys. Chem. 96, 6766 (1992).
T. Vilarino, and M. Sastre de Vicente,J. Phys. Chem. 100, 16378 (1996).
J. B. Hasted,Aqueous Dielectrics, (Chapman and Hall, London, 1973), Chap 6.
J. Barthel and R. Buchner,Pure Appl. Chem. 63, 1473 (1991).
R. Triolo, L. Blum, and M. A. Floriano,J. Phys. Chem. 82, 1368 (1978).
W. R. Fawcett and A. C. Tikanen,J. Phys. Chem. 100, 4251 (1996).
J-P. Simonin, L. Blum, and P. Turq,J. Phys. Chem. 100, 7704 (1996).
P. Turq, J. Barthel, and M. Chemla,Transport, Relaxation and Kinetic Processes in Electrolyte Solutions; Lectures Notes in Chemistry 57, (Springer-Verlag, Berlin, 1992) Chap 4.
R. H. Stokes, inActivity Coefficients in Electrolyte Solutions, 2nd edn., K. Pitzer, ed.; CRC Press: Boca Raton, Florida, (1991), Chap 1.
H. S. Hamed and B. B. Owen,Physical Chemistry of Electrolyte Solutions, (Rehinhold, London, 1958).
R. A. Robinson and R. H. Stokes,Electrolyte Solutions, (Academic Press, New York, 1955).
H. L. Friedman,J. Solution Chem. 1, 387 (1972).
J.-P. Simonin,J. Chem. Soc. Faraday Trans. 92, 3519 (1996).
J.-P. Simonin and L. Blum,J. Chem. Soc. Faraday Trans. 92, 1533 (1996).
R. C. Weast,CRC Handbook of Chemistry and Physics, 67th edn., (CRC Press, Boca Raton, FL, 1986).
I. Brandariz,Doctoral Thesis, University of La Coruña, Spain, (1994).
F. Macintyre,Marine Chem. 4, 164 (1970).
A. E. Martell and R. J. Montekakis,Determination and Use of Stability Constants. (VCH, New York, 1988), Chap. 3.
A. Albert and E. P. Serjeant,The Determination of Ionization Constants, (Chapman & Hall, New York, 1984).
H. R. Corti,J. Phys. Chem. 91, 686 (1987).
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Vilarino, T., de Vicente, M.E.S. Theoretical calculations of the ionic strength dependence of the ionic product of water based on a mean spherical approximation. J Solution Chem 26, 833–846 (1997). https://doi.org/10.1007/BF02768261
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02768261