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Alternative formalism for the evaluation of the activity coefficients on ternary electrolyte solutions from osmotic coefficient data
Fluid Phase Equilibria ( IF 2.6 ) Pub Date : 2021-07-10 , DOI: 10.1016/j.fluid.2021.113169
Francisco J. Passamonti 1 , María R. Gennero de Chialvo 1 , Abel C. Chialvo 1
Affiliation  

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/mi, 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-Hückel equation for multicomponent systems, (ii) ΔϕDDH: the sum of the deviations to the Debye-Hückel 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.



中文翻译:

从渗透系数数据评估三元电解质溶液活度系数的替代形式

提出了一种替代方法,它独立于电解质溶液的任何物理化学模型,用于评估摩尔尺度的平均离子活度系数, γ±一世( i : 2,3), 三元溶液 (1–2–3) 的溶质,从渗透系数的实验数据开始,组成ϕ exp ( m, x i )。它基于 ln 的依赖性γ±一世on φ最初由 HAC McKay 推导出,并由 SG Canagaratna 和 M. Maheswaran 确认为多分量系统 Gibbs-Duhem 方程的特解。它的应用涉及ϕ及其导数的积分φ/一世,因此,它需要的依赖的非常精确的相关性φ EXPM,X)。因此,为了达到所要求的精度,则理论表达式φM,X)被开发为三个贡献的总和,(ⅰ)φ DH:由德拜-休克尔方程的多组分系统给定的限制的行为,( ii) Δϕ DDH:对应二元解(1-2 和 1-3)的 Debye-Hückel 行为偏差的总和和 (iii) Δϕ M:混合效应的贡献。最后,引入由此产生的ϕ ( m,x i) 代入 Gibbs-Duhem 方程并运算,ln 的对应表达式 γ±一世M,X)被导出。所述的容量φM,X)方程来的依赖相关联φ EXPM,X),用于获得所述参数的值的方法,以及在LNγ±一世M,X)得到的依赖性是通过它的应用程序在两个三元系统的分析中示出。

更新日期:2021-07-24
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