Abstract
It is shown that the activity coefficients of the anions resulting from the dissociation of a weak polyprotic acid can be obtained from titration data. Activity coefficients are determined in terms of the activity coefficient of the undissociated acid. The extracted activity coefficients are also dependent on the pH scale adopted in the titration process and are considered as operational coefficients. The computational procedure uses an exact equation representing the titration curve and a nonlinear least-squares fitting procedure. As an illustration, the activity coefficients of the anions of succinic acid are determined. The method also allows study of the variation of the activity coefficients with the ionic strength in a straightforward manner.
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References
R. A. Robinson and R. H. Stokes, Electrolyte Solutions, 2nd edn. (Wiley, New York, 1965).
L. M. Raff, Principles of Physical Chemistry (Prentice Hall, New Jersey, 2001).
K. S. Pitzer, J. Phys. Chem. 77, 268(1973).
K. S. Pitzer and G. Mayorga, J. Phys. Chem. 77, 2300(1973).
K. S. Pitzer and G. Mayorga, J. Solution Chem. 3, 539(1974).
K. S. Pitzer and J. J. Kim, J. Amer. Chem. Soc. 96, 5701(1974).
I. Jano, C. R. Acad. Sci. (Paris) 261, 103(1965).
H. R. Rabie, G. Wilczek-Vera, and J. H. Vera, J. Solution Chem. 28, 885(1999).
R. G. Bates, B. R. Staples, and R. A. Robinson, Anal. Chem. 42, 867(1970).
F. Malatesta, J. Solution Chem. 29, 771(2000).
K. S. Pitzer and L. F. Silvester, J. Solution Chem. 5, 269(1976).
I. Jano and J. E. Hardcastle, J. Chim. Phys. 95, 1583(1998).
I. Jano and J. E. Hardcastle, Anal. Chim. Acta 390, 261(1999).
I. Jano and J. E. Hardcastle, Anal. Chim. Acta 390, 267(1999).
I. Jano and J. E. Hardcastle, Anal. Chim. Acta 424, 139(2000).
I. Jano, J. E. Hardcastle, L. A. Jano, K. R. Bates, and H. E. McCreary, Anal. Chim. Acta 428, 309(2001).
W. E. Deming, Statistical Adjustment of Data (Wiley, London, 1943).
R. de Levie, J. Chem. Educ. 76, 987(1999).
D. C. Harris, Quantitative Chemical Analysis, 5th edn. (Freeman and Company, New York, 1999).
Handbook of Chemistry and Physics, 63rd edn. (CRC Press, Boca Raton, FL, 1982–83.)
M. F. Kropman and H. J. Bakker, Science 291, 2118(2001).
M. J. H. M. Lito, F. G. F. C. Camoes, M. A. Ferra, and A. K. Covington, Anal. Chim. Acta 239, 129(1990).
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Jano, I., Jarvis, T. Activity Coefficients of Individual Ions from Titration Data. Journal of Solution Chemistry 31, 317–339 (2002). https://doi.org/10.1023/A:1015857321620
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DOI: https://doi.org/10.1023/A:1015857321620