Fluid Phase Equilibria 205 (2003) 115–132
The activity of ions: analysis of the theory and data for aqueous
solutions of MgBr
2
, CaBr
2
and BaBr
2
at 298.2 K
Eva Rodil
a,b
, J.H. Vera
a,∗
a
Department of Chemical Engineering, McGill University, Montreal, Que., Canada H3A 2B2
b
Department of Chemical Engineering, University of Santiago de Compostela, Santiago de Compostela, Spain
Received 27 June 2002; accepted 26 September 2002
Abstract
An analysis of the theory supporting the method to measure the activity of the individual ions using ion-selective-
electrodes is presented, and the accuracy of the results obtained is discussed. It is concluded that the effect on the
accuracy of the measurements caused by an error in the estimated value of the junction potential, is much less than
it was previously thought. Equations are given to correct published data as better information becomes available.
The activity coefficients of the bromide ion at 298.2 K, in single electrolyte aqueous solutions of MgBr
2
and CaBr
2
up to 3 m, and of BaBr
2
up to 2.3 m are reported. Direct measurement of the activity of the cations did not produce
acceptable results. The activity coefficients of the cations were calculated using values of the mean ionic activity
coefficients of the salts. In the presence of the bromide ion the activity coefficient of calcium is only slightly smaller
than that of magnesium while the activity coefficient of barium is much smaller than that of calcium. The activity
coefficient of the bromide ion is larger in the presence of magnesium, slightly smaller in the presence of barium and
smaller in the presence of calcium. The Khoshkbarchi–Vera equation was used to correlate the experimental data.
The experimental results for the activity coefficient of individual ions in aqueous solutions are compared with the
values predicted by the Hydration Theory of Bates.
© 2002 Elsevier Science B.V. All rights reserved.
Keywords: Activity of ions; Electrolyte solutions; Individual ions; Activity coefficients
1. Introduction
Values for the activity coefficients of individual ions in 1:1, 2:1 and 1:2 aqueous electrolyte solutions
have been reported in the literature [1–9]. Table 1 indicates the reference number of the publication in
which the activity coefficients of the individual ions in single electrolyte aqueous solutions have been
reported. In addition, the activity coefficients of ions in mixed electrolytes aqueous solutions have been
reported for the systems NaCl/NaBr, NaCl/KCl [2] and NaNO
3
/KNO
3
[3]. The main conclusions of
∗
Corresponding author. Tel.: +1-514-398-4494; fax: +1-514-398-6678.
E-mail address: juan.vera@mcgill.ca (J.H. Vera).
0378-3812/02/$ – see front matter © 2002 Elsevier Science B.V. All rights reserved.
PII:S0378-3812(02)00278-9