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Accounting for Ionic Strength in the Laliberte–Cooper Density Model for Electrolyte Solutions

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Abstract

The Laliberte–Cooper thermodynamic model has been previously successfully applied to calculate the density of aqueous solutions of electrolytes. The model allows prediction of the density of a multielectrolyte solution on the basis of known volume properties of binary solutions. The paper presents a new principle for selecting compositions of binary solutions in the Laliberte–Cooper model, which is based on the equality of the ionic strength of the multielectrolyte and binary solutions. We compare results of density calculations, both when the ionic strength is factored in and when it is not. In the case of strong electrolytes, when the ionic strength is taken into account, the accuracy of predicting the multielectrolyte solution density improves.

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References

  1. Krumgalz, B.S., Pogorelsky, R., Pitzer, K.S.: Ion interaction approach to calculations of volumetric properties of aqueous multiple-solute electrolyte solutions. J. Solution Chem. 24, 1025–1038 (1995)

    Article  CAS  Google Scholar 

  2. Lalibertґe, M., Cooper, W.E.: Model for calculating the density of aqueous electrolyte solutions. J. Chem. Eng. Data 49, 1141–1151 (2004)

    Article  Google Scholar 

  3. Laliberte, M.: A model for calculating the heat capacity of aqueous solutions, with updated density and viscosity data. J. Chem. Eng. Data 54, 1725–1760 (2009)

    Article  CAS  Google Scholar 

  4. Reynolds, J.G., Carter, R.: The Laliberté–Cooper density model: self-consistency and a new method of parameterization. Fluid Phase Equilib. 266, 14–20 (2008)

    Article  CAS  Google Scholar 

  5. Agnew, S.F.: Rescaled specific volume model for electrolyte solution density. J. Chem. Eng. Data 57, 60–65 (2012)

    Article  CAS  Google Scholar 

  6. Young, T.F., Smith, M.B.: Thermodynamic properties of mixtures of electrolytes in aqueous solutions. J. Phys. Chem. 68, 716–724 (1954)

    Article  Google Scholar 

  7. Krumgalz, B.S., Millero, F.J.: Physico-chemical study of dead sea waters II. Density measurements and equation of state of Dead Sea waters at 1 atm. Mar. Chem. 11, 477–492 (1982)

    Article  CAS  Google Scholar 

  8. Saluja, P.P.S., Jobe, D.J., LeBlanc, J.C., Lemire, R.J.: Apparent molar heat capacities and volumes of mixed electrolytes: [NaCl(aq) + CaCl2(aq)], [NaCl(aq) + MgCl2(aq)], and [CaCl2(aq) + MgCl2(aq)]. J. Chem. Eng. Data 40, 398–406 (1995)

    Article  CAS  Google Scholar 

  9. Fedyainov, N.V.: Specific heat of two- and three-component aqueous solutions of beryllium subgroup metal chlorides at 25 °C. Russ. J. Phys. Chem. 44, 1817–1819 (1970)

    CAS  Google Scholar 

  10. Li, J., Prestidge, C.A., Addai-Mensah, J.: Viscosity, density, and refractive index of aqueous sodium and potassium aluminate solutions. J. Chem. Eng. Data 45, 665–671 (2000)

    Article  CAS  Google Scholar 

  11. Sipos, P., Stanley, A., Bevis, S., Hefter, G., May, P.M.: Viscosities and densities of concentrated aqueous NaOH/NaAl(OH)4 mixtures at 25 °C. J. Chem. Eng. Data 46, 657–661 (2001)

    Article  CAS  Google Scholar 

  12. Königsberger, E., Bevis, S., Hefter, G., May, P.M.: Comprehensive model of synthetic Bayer liquors. Part 2. Densities of alkaline aluminate solutions to 90 °C. J. Chem. Eng. Data 50, 1270–1276 (2005)

    Article  Google Scholar 

  13. Pomeroy, R., Kirschman, H.D.: The solubility of sodium iodide in sodium hydroxide solutions at 20°. J. Am. Chem. Soc. 66, 178–179 (1944)

    Article  CAS  Google Scholar 

  14. Kirschman, H.D., Pomeroy, R.: The solubility of potassium iodide in sodium hydroxide solutions at 20°. J. Am. Chem. Soc. 66, 1793–1794 (1944)

    Article  CAS  Google Scholar 

  15. Salavera, D., Libotean, S., Patil, K.R., Esteve, X., Coronas, A.: Densities and heat capacities of the ammonia + water + NaOH and ammonia + water + KOH solutions. J. Chem. Eng. Data 51, 1020–1025 (2006)

    Article  CAS  Google Scholar 

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Acknowledgements

This study was supported by the government program № CITIS 121031300039-1 “Chemical thermodynamics and theoretical materials science”.

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  1. Laboratory of Chemical Thermodynamics, Faculty of Chemistry, Moscow State University, Moscow, Russia, 119991

    M. N. Mamontov & A. V. Gorbachev

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  1. M. N. Mamontov
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  2. A. V. Gorbachev
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Mamontov M.N.: Conceptualization, Investigation, Data Curation, Writing—Original Draft. Gorbachev A.V: Data Curation, Writing—Review & Editing.

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Correspondence to M. N. Mamontov.

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Mamontov, M.N., Gorbachev, A.V. Accounting for Ionic Strength in the Laliberte–Cooper Density Model for Electrolyte Solutions. J Solution Chem 51, 357–369 (2022). https://doi.org/10.1007/s10953-021-01138-8

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  • DOI: https://doi.org/10.1007/s10953-021-01138-8

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