Skip to main content
SpringerLink
Log in

Mixing rules in cubic equations of state applied to refrigerant mixtures

  • Basic And Applied Research
  • Published:
Journal of Phase Equilibria

Abstract

Two equations of state and four mixing rules are applied to the calculation of the bubble point pressure of several refrigerant mixtures. An equation of state proposed by one of the authors, known as the PTV equation, and a modified Soave-Redlich-Kwong equation of state, known as Predictive Soave-Redlich-Kwong (PSRK), have been used. The mixing rules considered in the study include the classic van der Waals mixing rule with one and with two parameters for the PTV equation, and a model that includes the excess Gibbs free energy for the PSRK equation. Eighteen data sets from the literature for five binary refrigerant mixtures containing R134A (CH2FCF3) were considered for analysis. A special program was implemented for these calculations in which the fundamental equation for phase equilibria, the equality of fugacity of each component in all phases, was applied. Correlations for the interaction parameters as functions of the acentric factor are proposed. We present conclusions about usefulness of the different models and a recommendation for the best equation of state + mixing rule combination for correlating vapor-liquid equilibrium in the refrigerant mixtures studied.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. O. Redlich and J.N.S. Kwong: “On the Thermodynamics of Solutions. V. An Equation of State. Fugacities of Gaseous Solutions,” Chem. Rev., 1949, 44(2), pp. 233–44.

    Article  Google Scholar 

  2. G.M. Wilson: “Calculation of Enthalpy and Data From a Modified Redlich-Kwong Equation of State,” Adv. Cryog. Eng., 1966, 11, pp. 392–400.

    Google Scholar 

  3. D. Zudkevitch and J. Joffe: “Correlation and Prediction of Vapor-Liquid Equilibrium With the Redlich-Kwong Equation of State,” AIChE. J., 1970, 16(1), pp. 112–19.

    Article  Google Scholar 

  4. G. Soave: “Equilibrium Constants From a Modified Redlich-Kwong Equation of State,” Chem. Eng. Sci., 1972, 27, pp. 1197–1203.

    Article  Google Scholar 

  5. D.Y. Peng and D.B. Robinson: “A New Two-Constant Equation of State,” Ind. Eng. Chem. Fundam., 1976, 15(1), pp. 59–64.

    Article  MATH  Google Scholar 

  6. M.J. Huron and J. Vidal: “New Mixing Rules in Simple Equations of State for Representing Vapor-Liquid Equilibrium of Strongly Non-Ideal Solutions,” Fluid Phase Equil., 1979, 3, pp. 255–71.

    Article  Google Scholar 

  7. K. Kato, K. Nagahama, and M. Hirata: “Generalized Interaction Parameters for the Peng-Robinson Equation of State: Carbon Dioxide-n-Paraffin Binary System,” Fluid Phase Equil., 1981, 7, pp. 219–31.

    Article  Google Scholar 

  8. A. Mihajlov, B. Djordjevic, and A. Tasic: “Calculation of Enthalpy and Entropy of Gases by Modified R.K. Equation of State,” Hungarian J. of Ind. Chem., 1981, 9, 407–16.

    Google Scholar 

  9. N.C. Patel and and A.S. Teja: “A New Cubic Equation of State for Fluids and Fluid Mixtures,” Chem. Eng. Sci., 1982, 37(3), 463–73.

    Article  Google Scholar 

  10. G. Heyen: “A Cubic Equation of State With Extended Range of Application” in Chemical Engineering Thermodynamics, S.A. Newman, ed., 1983, Ann Arbor Science, Ann Arbor, MI, pp. 175–85.

    Google Scholar 

  11. Y. Adachi, B.C.Y. Lu, and H. Sugie: “Development of Van der Waals Type of Equations of State,” J. Chem. Eng. Japan, 1985, 18(1), pp. 20–25.

    Article  Google Scholar 

  12. A.Z. Panagiotopoulos and R.C. Reid: “High Pressure Phase Equilibrium in Ternary Fluid Mixtures With a Supercritical Component” in ACS Symposium Series 329, Supercritical Fluids, American Chemical Society, Chicago, IL, 1985, pp. 115–29.

    Google Scholar 

  13. Y. Adachi and H. Sugie: “A New Mixing Rule. Modified Conventional Mixing Rule,” Fluid Phase Equil., 1986, 23, pp. 103–18.

    Article  Google Scholar 

  14. T.Y. Kwak and G.A. Mansoori: “Van der Waals Mixing Rules for Cubic Equations of State. Applications for Supercritical Fluid Extraction Modeling,” Chem. Eng. Sci., 1986, 41(5), pp. 1303–09.

    Article  Google Scholar 

  15. A.Z. Panagiotopoulos and R.C. Reid: “A New Mixing Rule for Cubic Equations of State for Highly Polar, Asymmetric System” in Equations of State Theories and Applications, K.C. Chao and R.L. Robinson, ed., American Chemical Society Symposium Series 300, Chicago, IL, 1986.

  16. J.M. Prausnitz, R.N. Lichtenthaler, and E. Gomez de Azevedo: Molecular Thermodynamics of Fluid Phase Equilibria, 2nd ed., Prentice Hall, Englewood Cliffs, NJ, 1986.

    Google Scholar 

  17. R. Stryjek and J.H. Vera: “PRSV: An Improved Peng-Robinson Equation of State With New Mixing Rules for Strongly Nonideal Mixtures,” Can. J. Chem. Eng. 1986, 64, pp. 334–40.

    Article  Google Scholar 

  18. M.A. Trebble and P.R. Bishnoi: “Accuracy and Consistency Comparisons of Ten Cubic Equations of State for Polar and Non-Polar Compounds,” Fluid Phase Equil., 1986, 29, pp. 465–74.

    Article  Google Scholar 

  19. M.A. Trebble: “Correlation of VLE Data for Binary Mixtures of 1-Alkanols and Normal Hexane With the Trebble-Bishnoi Equation of State,” Fluid Phase Equil., 1988, 42, pp. 117–28.

    Article  Google Scholar 

  20. M.A. Trebble and P.R. Bishnoi: “Extension of the Trebble-Bishnoi Equation of State to Fluid Mixtures,” Fluid Phase Equil., 1988, 40, pp. 1–21.

    Article  Google Scholar 

  21. J.O. Valderrama, O. Rehman, and L. Cisternas: “Generalized Interaction Parameters in Cubic Equations of State for CO2-N-Alkane Mixtures,” Fluid Phase Equil., 1988, 40, pp. 217–33.

    Article  Google Scholar 

  22. R. Sandoval, G. Wilczek-Vera, and J.H. Vera: “Prediction of Ternary Vapor-Liquid Equilibrium with the PRSV Equation of State,” Fluid Phase Equil., 1989, 52, pp. 119–26.

    Article  Google Scholar 

  23. S. Shibata and S. Sandler: “Critical Evaluation of Equation of State Mixing Rules for the Prediction of High-Pressure Phase Equilibrium.” Ind. Eng. Chem. Res., 1989, 28(12), pp. 1893–98.

    Article  Google Scholar 

  24. S. Dahl and M.L. Michelsen: “High-Pressure Vapor-Liquid Equilibrium With an UNIFAC Based Equation of State,” AIChE J., 1990, 36, pp. 1829–36.

    Article  Google Scholar 

  25. J.O. Valderrama: “A Generalized Patel-Teja Equation of State for Polar and Non-Polar Fluids and Their Mixtures,” J. Chem. Eng. Japan, 1990, 23(1), pp. 87–91.

    Article  Google Scholar 

  26. T. Holderbaun and J. Gmehling: “PRSK: A Group Contribution Equation of State Based on UNIFAC,” Fluid Phase Eq., 1991, 70, pp. 251–65.

    Article  Google Scholar 

  27. D.S. Wong and S.I. Sandler: “A Theoretically Correct Mixing Rule for Cubic Equations of State,” AIChE J., 1992, 38, pp. 671–80.

    Article  Google Scholar 

  28. M. Kleiber: “An Extension to the UNIFAC Group Assignment for Prediction of Vapor-Liquid Equilibrium of Mixtures Containing Refrigerants,” Fluid Phase Equil., 1995, 107, pp. 161–88.

    Article  Google Scholar 

  29. M. Nagel and K. Bier: “Vapour-Liquid Equilibrium of Ternary Mixtures of the Refrigerants R32, R125 and R134A,” Int J. Refrig., 1995, 18(4), pp. 534–43.

    Article  Google Scholar 

  30. H. Orbey and S.I. Sandler: Modeling Vapor-Liquid Equilibrium. Cubic Equations of State and Their Mixing Rules, Cambridge University Press, NY, 1998.

    Google Scholar 

  31. J.O. Valderrama, C. López, and P.F. Arce: “Mixing Rules in Equations of State Applied to Mixtures That Contain a Supercritical Fluid,” Inf. Tecnol., 2000, 11(2), pp. 101–08.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Faculty of Engineering, Mechanical Engineering Department, University of La Serena, Casilla 554, La Serena, Chile

    José O. Valderrama

  2. Faculty of Engineering, Mechanical Engineering Department, University of La Serena, Casilla 554, La Serena, Chile

    Luis E. Marambio

  3. Centro de Información Tecnológica, Casilla 724, La Serena, Chile

    José O. Valderrama & Alexis A. Silva

Authors
  1. José O. Valderrama
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luis E. Marambio
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Alexis A. Silva
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Valderrama, J.O., Marambio, L.E. & Silva, A.A. Mixing rules in cubic equations of state applied to refrigerant mixtures. JPE 23, 495–501 (2002). https://doi.org/10.1361/105497102770331181

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1361/105497102770331181

Keywords

Search

Navigation