Density Calculations of Actinide Solutions using the Pitzer Method

EQUILIBRIA PROCESSES IN AQUEOUS SOLUTIONS OF K2CrO4 – HNO3 – KNO3 – H2O AND K2Cr2O7 – NaOH – KNO3 – H2O SYSTEMS

Odesa National University Herald Chemistry ◽

10.18524/2304-0947.2021.2(78).233833 ◽

2021 ◽

Vol 26 (2(78)) ◽

pp. 56-72

Author(s):

Yu. A Oleksii ◽

O. Yu. Mariichak ◽

G. M. Rozantsev ◽

S. A. Shyshkanov ◽

S.V. Radio

Keyword(s):

Mathematical Modeling ◽

Aqueous Solutions ◽

Equilibrium Constants ◽

Equilibrium Concentration ◽

Quantitative Composition ◽

Anion Formation ◽

Chromium Vi ◽

Vis Spectroscopy ◽

Pitzer Method ◽

Quasi Newton

The equilibria processes in aqueous solutions of CrO42– – H+ – H2O and Cr2O72– – OH– – H2O systems were studied by pH‑potentiometric titration, mathematical modeling and UV–Vis. spectroscopy. It was established that in the CrO42– – H+ – H2O systems with acidity ZН = ν(H+)/ν(Cr(VI)) = 0–2.5 the processes of dichromate and hydrochromate anion formation and hydrolytic conversion of dichromate to hydrochromate take place, for which the logarithms of the equilibrium concentration constants were calculated by the quasi-Newton method (CLINP 2.1 software; 95 % confidence probability). The calculated values of the logarithms of the concentration equilibrium constants lgKC reliably agree with the literature data. The calculated lgKC were used to build of chromium(VI) anions distribution diagrams depending on ZH, and ZOH in solutions. For the first time, by the Pitzer method the thermodynamic equilibria constants of hydrochromate HCrO4– (lgK10 = 6,94), the dichromate anion Cr2O72– (lgK20 = 15,49) formation processes from the CrO4 2– and H+ ions, and the logarithm of equilibrium constant of the interconversion of the dichromate anion to the hydrochromate anion (lgK30 = –1,61) were calculated. Mathematical modeling and UV–Vis. spectroscopy show that the composition of anions in Cr2O72– – OH– – H2O solutions with alkality ZOH = ν(OH–)/ν(Cr(VI)) = 0–2.5 is identical to CrO42– – H+ – H2O systems. It is established that the experimental dependencies pH = f(Z) for the Cr2O72– – OH– – H2O system can be reliably reproduced by hydrolysis reactions of dichromate anion to hydrochromate anion and by subsequent neutralization to chromate anion with equilibrium constants calculated for processes in CrO42– – H+ – H2O solutions with same ionic strengths. The quantitative composition of chromium(VI) solutions was confirmed qualitatively by UV–Vis. spectroscopy.

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Estimation of Activities in the Aqueous Solution Systems of HCl–NaCl and HCl–NiCl2 Using the Pitzer Method

Materials Transactions JIM ◽

10.2320/matertrans1989.33.380 ◽

1992 ◽

Vol 33 (4) ◽

pp. 380-390 ◽

Cited By ~ 3

Author(s):

Mikiya Tanaka ◽

Takeo Tamagawa ◽

Yoshihisa Hamada

Keyword(s):

Aqueous Solution ◽

Pitzer Method

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Structural Fragments Izopolivolframat–Anions and Gibbs Energy of Formation

Фізика і хімія твердого тіла ◽

10.15330/pcss.16.3.524-527 ◽

2015 ◽

Vol 16 (3) ◽

pp. 524-527

Author(s):

G.M. Rozantsev

Keyword(s):

Mathematical Modeling ◽

Gibbs Energy ◽

Standard Gibbs Energy ◽

Equilibrium Constants ◽

Building Blocks ◽

Pitzer Method ◽

Titration Data ◽

Thermodynamic Probability ◽

Energy Of Formation ◽

Concentration Constants

The method of mathematical modeling (program CLINP 2.1, Newton's method) on the basis of the pH-potentiometric titration data allowed to calculate concentration constants of isopolytungstate anions (IPTA) formation at different ionic forces (I = 0,01 ‑ 0,5 M). Thermodynamic constants of IPTA formation were obtained as a result of processing by Pitzer method using the concentration constans. The standard Gibbs energy of isopolytungstate anions formation were calculated. The last ones allowed to estimate the thermodynamic probability of the reactions, that can be used in the synthesis of salts containing these anions. The structure of known isopolytungstates can be built from the combination of such fragments: WO, W2O, W3O, W4O and W5O. The calculation of standard Gibbs energy of these fragments formation allowed to characterize the structure of hexatungstate-anion W6O20(OH)26-, which does not contain three terminal oxygen atoms. Such approach of using Gibbs energy of building blocks was recommended for prediction of equilibrium constants values in the mathematical modeling.

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