Alternative formalism for the evaluation of the activity coefficients on ternary electrolyte solutions from osmotic coefficient data

Autor: María R. Gennero de Chialvo, Francisco Javier Passamonti, Abel C. Chialvo
Rok vydání: 2021
Předmět:
Zdroj: Fluid Phase Equilibria. 547:113169
ISSN: 0378-3812
Popis: An alternative method is presented, which is independent of any physicochemical model of the electrolyte solution, for the evaluation of the mean ionic activity coefficient in molal scale, γ ± i (i: 2,3), of the solutes of a ternary solution (1–2–3), starting from experimental data of the osmotic coefficient on composition ϕexp(m,xi). It is based on the dependence of ln γ ± i on ϕ originally derived by H.A.C. McKay and confirmed by S.G. Canagaratna and M. Maheswaran as a particular solution of Gibbs-Duhem equation for multicomponent systems. Its application involves the integration of both ϕ and its derivative ∂ ϕ / ∂ m i , so that it requires a very precise correlation of the dependence ϕexp(m,xi). Therefore, in order to achieve the required precision, the theoretical expression ϕ(m,xi) is developed as the sum of three contributions, (i) ϕDH: the limiting behaviour given by the Debye-Huckel equation for multicomponent systems, (ii) ΔϕDDH: the sum of the deviations to the Debye-Huckel behaviour of the corresponding binary solutions (1–2 and 1–3) and (iii) ΔϕM: a contribution of mixing effect. Finally, introducing the resulting ϕ(m,xi) into the Gibbs-Duhem equation and operating, the corresponding expression of ln γ ± i (m,xi) is derived. The capacity of the ϕ(m,xi) equation to correlate the dependence ϕexp(m,xi), the methodology employed to obtain the parameters values, as well as the ln γ ± i (m,xi) resulting dependence are illustrated through its application to the analysis of two ternary systems.
Databáze: OpenAIRE