Skip to main content
SpringerLink
Log in

Predicting Property Isotherms of Ternary Mixtures on Isotherms of the Binary Mixtures, Presented by a Non-stoichiometric Model

  • Published:
Journal of Solution Chemistry Aims and scope Submit manuscript

Abstract

For the first time symmetric models are presented for non-stoichiometric six-parameter models and comparative analysis has been carried out with empirical ternary symmetric and asymmetric models with the Redlich–Kister model taken as a basis. For asymmetric models on the basis of the component structuredness criteria, a simple quantitative mode is proposed for selecting the asymmetric component. On the basis of Chou’s method a new mode of computation has been proposed with the help of non-stoichiometric models. Calculations have been performed with the excess molar volumes and molar enthalpies dependence using ethanol or 1-butanol + triethylamine + n-hexane and 1-butanol + tri-n-butylamine (or tri-n-octylamine) + n-hexane mixtures as examples.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

References

  1. Scatchard, G., Ticknor, L.B., Goates, J.R., McCartney, E.R.: Heats of mixing in some non-electrolyte solutions. J. Am. Chem. Soc. 74, 3721–3724 (1952)

    Article  CAS  Google Scholar 

  2. Redlich, O., Kister, A.T.: Algebraic representation of thermodynamic properties and the classification of solutions. Ind. Eng. Chem. 40, 345–348 (1948)

    Article  Google Scholar 

  3. Nikolaev, V.F., Nikolaev, I.V., Kataev, V.E.: A model of competing van der Waals interactions for describing the physicochemical properties of binary solutions of nonelectrolytes. Russ. J. Phys. Chem. 80, Suppl. 1, S26–S30 (2006)

    Article  CAS  Google Scholar 

  4. Hildebrand, J.H., Scott, R.L.: The Solubility of Nonelectrolytes, 3rd edn. Reinhold, New York (1950)

    Google Scholar 

  5. Nikolaev, V.F., Ismagilova, G.I., Satgaraev, A.N.: Mixing enthalpies of molecular liquids: model of contribution balance of imaginary endo- and exotherms. Phys. Chem. Liq. 48, 773–786 (2010)

    Article  CAS  Google Scholar 

  6. Kwaterski, M., Rezanova, E.N., Lichtenthaler, R.N.: Excess molar volumes and excess molar enthalpies of binary and ternary mixtures of (ethanol or 1-butanol), triethylamine and n-hexane. Fluid Phase Equilib. 237, 170–185 (2005)

    Article  CAS  Google Scholar 

  7. Kwaterski, M., Rezanova, E.N., Lichtenthaler, R.N.: Excess molar volumes and excess molar enthalpies of binary and ternary mixtures of 1-butanol, a tertiary amine (tri-n-butylamine or tri-n-octylamine) and n-hexane: experimental results and ERAS-model calculations. J. Chem. Thermodyn. 38, 1199–1213 (2006)

    Article  CAS  Google Scholar 

  8. Radojković, N., Tasić, A., Grozdanić, D., Djordjević, B., Malić, M.: Excess volumes of acetone + benzene, acetone + cyclohexane, and acetone + benzene + cyclohexane at 298.15 K. J. Chem. Thermodyn. 9, 349–352 (1977)

    Article  Google Scholar 

  9. Kohler, F.: Zur berechnung der thermodynamischen daten eines ternären systems aus den zugehörigen binären systemen. Monatsh. Chem. 91, 738–740 (1960)

    Article  CAS  Google Scholar 

  10. Jacob, K.T., Fitzner, K.: The estimation of the thermodynamic properties of ternary alloys from binary data using the shortest distance composition path. Thermochim. Acta 18, 197–206 (1977)

    Article  CAS  Google Scholar 

  11. Colinet, C.: Estimation des grandeurs thermodynamiques des alliages ternaries. D.E.S., Faculté des Sciences, Université de Grenoble, France (1967)

  12. Rastogi, R.P., Nath, J., Das, S.S.: Thermodynamic properties of ternary mixtures. 2. The excess volumes of mixing of ternary mixtures of cyclohexane, aromatics, and halomethanes. J. Chem. Eng. Data 22, 249–252 (1977)

    Article  CAS  Google Scholar 

  13. Knobeloch, J.B., Schwartz, C.E.: Heats of mixing of ternary system: sulfuric acid–phosphoric acid–water. J. Chem. Eng. Data 7, 386–387 (1962)

    Article  CAS  Google Scholar 

  14. Tsao, C.C., Smith, J.M.: Heat of mixing of liquids: applied thermodynamics. Chem. Eng. Prog. Symp. Ser. 49, 107–117 (1953)

    CAS  Google Scholar 

  15. Toop, G.W.: Predicting ternary activities using binary data. Trans. Metall. Soc. AIME 223, 850–855 (1965)

    Google Scholar 

  16. Hillert, M.: Empirical methods of predicting and representing thermodynamic properties of ternary solution phases. Calphad 4, 1–12 (1980)

    Article  CAS  Google Scholar 

  17. Chou, K.C., Wei, S.K.: A new generation solution model for predicting thermodynamic properties of a multicomponent system from binaries. Metall. Mater. Trans., B Process Metall. Mater. Proc. Sci. 28B, 439–445 (1997)

    CAS  Google Scholar 

  18. Nikolaev, V.F., Satgaraev, A.N., Sultanova, R.B.: Model for predicting physical and chemical properties of ternary mixtures nonelectrolytes by data for the binary mixtures. Vestn. Kazan Technol. Univ. 5, 178–187 (2008) (in Russian). http://elibrary.ru/item.asp?id=11528576

    Google Scholar 

  19. Fialkov, Yu.Ya.: Solvent as a Control Facility of Chemical Process. Chemistry, Leningrad (1990) (monograph in Russian)

    Google Scholar 

  20. Satgaraev, A.N., Sultanova, R.B., Nikolaev, V.F.: Predicting of molar physical and chemical properties of ternary mixtures by data for the binary mixtures, presented by model of contribution balance of imaginary endo- and exotherms. Butlerov Comm. 20(4), 41–52 (2010). http://butlerov.com/stat/reports/view.asp?lang=ru&year=2010&tom=20

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. A.E. Arbuzov Institute of Organic and Physical Chemistry of Kazan Scientific Center of Russian Academy of Sciences, Kazan, Russia

    Vyacheslav F. Nikolaev

  2. Kazan State Technological University, Kazan, Russia

    Vyacheslav F. Nikolaev, Adel N. Satgaraev & Rasima B. Sultanova

Authors
  1. Vyacheslav F. Nikolaev
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Adel N. Satgaraev
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Rasima B. Sultanova
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Vyacheslav F. Nikolaev.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nikolaev, V.F., Satgaraev, A.N. & Sultanova, R.B. Predicting Property Isotherms of Ternary Mixtures on Isotherms of the Binary Mixtures, Presented by a Non-stoichiometric Model. J Solution Chem 41, 953–964 (2012). https://doi.org/10.1007/s10953-012-9849-9

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10953-012-9849-9

Keywords

Search

Navigation