Aqueous Binary Lanthanide(III) Nitrate Ln(NO3)3 Electrolytes Revisited: Extended Pitzer and Bromley Treatments
Sayandev Chatterjee, Emily L. Campbell, Doinita Neiner, Natasha Pence, Troy A. Robinson, Tatiana G. Levitskaia
Abstract
Sayandev Chatterjee, Emily L. Campbell, Doinita Neiner, Natasha Pence, Troy A. Robinson, Tatiana G. Levitskaia
Abstract
To date, only limited thermodynamic models describing activity coefficients of the aqueous solutions of lanthanide ions are available. This work expands the existing experimental osmotic coefficient data obtained by classical isopiestic technique for the aqueous binary trivalent lanthanide nitrate Ln(NO 3 ) 3 solutions using a combination of water activity and vapor pressure osmometry measurements. The combined osmotic coefficient database for each aqueous lanthanide nitrate at 25 °C, consisting of literature available data as well as data obtained in this work, was used to test the validity of Pitzer and Bromley thermodynamic models for the accurate prediction of mean molal activity coefficients of the Ln(NO 3 ) 3 solutions in wide concentration ranges. The new and improved Pitzer and Bromley parameters were calculated. It was established that the Ln(NO 3 ) 3 activity coefficients in the solutions with ionic strength up to 12 mol kg –1 can be estimated by both Pitzer and single-parameter Bromley models, even though the latter provides for more accurate prediction, particularly in the lower ionic strength regime (up to 6 mol kg –1 ). On the other hand, for the concentrated solutions, the extended three-parameter Bromley model can be employed to predict the Ln(NO 3 ) 3 activity coefficients with remarkable accuracy. The accuracy of the extended Bromley model in predicting the activity coefficients was greater than ∼ 95 % and ∼ 90 % for all solutions with the ionic strength up to 12 mol kg –1 and 20 mol kg –1, respectively. This is the first time that the activity coefficients for concentrated lanthanide solutions have been predicted with such a remarkable accuracy.
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To date, only limited thermodynamic models describing activity coefficients of the aqueous solutions of lanthanide ions are available. This work expands the existing experimental osmotic coefficient data obtained by classical isopiestic technique for the aqueous binary trivalent lanthanide nitrate Ln(NO 3 ) 3 solutions using a combination of water activity and vapor pressure osmometry measurements. The combined osmotic coefficient database for each aqueous lanthanide nitrate at 25 °C, consisting of literature available data as well as data obtained in this work, was used to test the validity of Pitzer and Bromley thermodynamic models for the accurate prediction of mean molal activity coefficients of the Ln(NO 3 ) 3 solutions in wide concentration ranges. The new and improved Pitzer and Bromley parameters were calculated. It was established that the Ln(NO 3 ) 3 activity coefficients in the solutions with ionic strength up to 12 mol kg –1 can be estimated by both Pitzer and single-parameter Bromley models, even though the latter provides for more accurate prediction, particularly in the lower ionic strength regime (up to 6 mol kg –1 ). On the other hand, for the concentrated solutions, the extended three-parameter Bromley model can be employed to predict the Ln(NO 3 ) 3 activity coefficients with remarkable accuracy. The accuracy of the extended Bromley model in predicting the activity coefficients was greater than ∼ 95 % and ∼ 90 % for all solutions with the ionic strength up to 12 mol kg –1 and 20 mol kg –1, respectively. This is the first time that the activity coefficients for concentrated lanthanide solutions have been predicted with such a remarkable accuracy.
Key concepts: Osmotic coefficient, Molality, Chemistry, Activity coefficient, Pitzer equations, Lanthanide, Thermodynamics, Aqueous solution