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Modelling of a Uranium Reprocessing Extraction System

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Abstract

Modeling of the H2O–HNO3–UO2(NO3)2–TBP–diluent system has been considered herein. Mole fractions, volume fractions and rational activity coefficients are used in order to create the system of equations on the basis of the mass action law. The method of calculating activity coefficients is provided. Water distribution was taken into account due to the significant importance of free water. Solvate parameters were determined in three subsystems. Application of activity coefficients of nitric acid and uranyl nitrate in mixed solutions was considered during the calculation of the H2O–HNO3–UO2(NO3)2–TBP–diluent system.

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Abbreviations

a :

Thermodynamic activity

b 1, b 2, b 3 :

Parameters taking into account the difference between the interactions of water and TBP (b 1), acid solvate with TBP and dodecane (b 2), di-solvate UO2(NO3)2·2TBP and TBP (b 3)

c :

Molar concentration, mol·L−1

f :

Rational activity coefficient

h ij :

Hydrate number of a solvate that consists of i acid molecules and j TBP molecules

K t and K d :

Parameters in Eqs. 8 and 11

K ij :

Formation constant of a solvate that consists of i acid molecules and j TBP molecules

M i :

Molar mass of the ith component

m :

Molality, mol·kg−1, of diluent

n :

Number of experimental points

s :

Relative mean square deviation of experimental data

V :

Molar volume, cm3·mol−1

x :

Mole fraction

δ:

Relative mean-square deviation between calculated and experimental data

Σ:

Sign denotes sum in calculations

φ :

Volumetric fraction

a:

Acid

aw:

Acid in the aqueous phase

c:

Calculated

d:

Dodecane

i, j, k :

Components in their enumeration in formulas

t:

TBP

w:

Water

References

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Authors and Affiliations

  1. Mendeleev University of Chemical Technology of Russia, Miusskaya Sq., 9, Moscow, Russian Federation, 125047

    A. Ochkin, D. Gladilov & S. Nekhaevskiy

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  1. A. Ochkin
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  2. D. Gladilov
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  3. S. Nekhaevskiy
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Correspondence to A. Ochkin.

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Ochkin, A., Gladilov, D. & Nekhaevskiy, S. Modelling of a Uranium Reprocessing Extraction System. J Solution Chem 45, 1634–1640 (2016). https://doi.org/10.1007/s10953-016-0538-y

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  • DOI: https://doi.org/10.1007/s10953-016-0538-y

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