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Modification of the Pitzer model to calculate the mean activity coefficients of electrolytes in a water-alcohol mixed solvent solution

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Abstract

The approach tested in this work consists in adapting the Pitzer model, initially designed for aqueous solutions of electrolytes, to the case of solutions with a mixed solvent, without systematically readjusting the coefficients. This modified model was applied successfully to the calculation of the mean activity coefficients of NaBr in the mixed solvent H2O+MeOH, H2O+EtOH and compared with the experimental values obtained from electrode potential measurements.

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Abbreviations

D :

dielectric constant

G ex :

excess Gibbs energy

I :

ionic strength

k :

Boltzman's constant

m i :

molality

N o :

Avogadro's number

n w :

number of kilograms of water

R :

gas constant

T :

temperature (K)

T c :

critical temperature

T cm :

critical temperature of mixed solvent

x i :

molar fraction

z i :

ionic charge

ε:

electronic charge

ϕ:

osmotic coefficient

γ±:

mean activity coefficient of electrolyte

ν:

number of moles of ions given by one mole of electrolyte

νM :

number of moles of cations given by one mole of electrolyte

νX :

number of moles of anions given by one mole of electrolyte

ρW :

density of water

A :

Debye-Hückel parameter

a :

distance of closest approach of ions in solution

B :

Debye-Hückel parameter

b :

numerical parameter of model

α:

numerical parameter of model

α1, α2 :

numerical parameters of model, used in the case of 2:2 electrolyte

β (0)MX :

numerical parameter of electrolyte MX

β (1)MX :

numerical parameter of electrolyte MX

β (2)MX :

numerical parameter of 2:2 electrolyte MX

C φMX :

numerical parameter of electrolyte MX

λ:

binary interaction parameter

μ:

ternary interaction parameter

References

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Ye, S., Xans, P. & Lagourette, B. Modification of the Pitzer model to calculate the mean activity coefficients of electrolytes in a water-alcohol mixed solvent solution. J Solution Chem 23, 1301–1315 (1994). https://doi.org/10.1007/BF00974183

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  • DOI: https://doi.org/10.1007/BF00974183

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