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A Generalized Virial Equation of State and its Application to Vapor-Liquid Equilibria at Low Temperatures

  • S.-D. Chang
  • B. C.-Y. Lu
Part of the Advances in Cryogenic Engineering book series (ACRE, volume 17)

Abstract

In order to apply an equation of state to vapor—liquid equilibrium calculations for pure components, the equation of state must satisfy the following three conditions:
$${{V}_{v,calc}}={{V}_{v}}$$
(1)
$${{V}_{L,calc}}={{V}_{L}}$$
(2)
$${{f}_{L,calc}}={{f}_{L,calc}}$$
(3)
which may be depicted by an isotherm on a PV plot as shown in Fig. la.

Keywords

Force Constant Pure Component Virial Coefficient Acentric Factor Fugacity Coefficient 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

  1. 1.
    M. Benedict, G. B. Webb, and L. C. Rubin, J. Chem. Phys., 8:334 (1940); ibid., 10: 747 (1942).Google Scholar
  2. 2.
    O. Redlich and J. N. S. Kwong, Chem. Rev., 44: 40 (1949).Google Scholar
  3. 3.
    C. Tsonopoulos and J. M. Prausnitz, Cryogenics, 9: 315 (1969).CrossRefGoogle Scholar
  4. 4.
    T. G. Kaufmann, Ind. Eng. Chem. Fund., 7: 115 (1968).CrossRefGoogle Scholar
  5. 5.
    R. V. Orye, Ind. Eng. Chem. Proc. Des. and Dee., 8: 579 (1969).Google Scholar
  6. 6.
    S. K. Sood and G. G. Haselden, AIChE J., 16: 891 (1970).CrossRefGoogle Scholar
  7. 7.
    H. H. Stotler and M. Benedict, Chem. Eng. Progr. Symp. Ser., 49 (6): 25 (1953).Google Scholar
  8. 8.
    D. Zudkevitch and T. G. Kaufmann, AIChE J., 12: 577 (1966).CrossRefGoogle Scholar
  9. 9.
    S.-D. Chang and B. C.-Y. Lu, Can. J. Chem. Eng., 48: 261 (1970).CrossRefGoogle Scholar
  10. 10.
    S.-D. Chang and B. C.-Y. Lu, Can. J. Chem. Eng., 49: 286 (1971).CrossRefGoogle Scholar
  11. 11.
    P. L. Chueh and J. M. Prausnitz, AIChE J., 13: 1099 (1967).CrossRefGoogle Scholar
  12. 12.
    P. L. Chueh and J. M. Prausnitz, Ind. Eng. Chem., 60 (3): 34 (1968).CrossRefGoogle Scholar
  13. 13.
    P. L. Chueh and J. M. Prausnitz, Ind. Eng. Chem. Fund., 6: 492 (1967).CrossRefGoogle Scholar
  14. 14.
    J. Joffe, G. M. Schroeder, and D. Zudkevitch, AIChEJ., 16: 496 (1970).CrossRefGoogle Scholar
  15. 15.
    B. C.-Y. Lu, S.-D. Chang, I. M. Elshayal, P. Yu, D. Gravelle, and D. P. L. Poon, in: Proc. First International Conf. Calorimetry and Thermodynamics, Warsaw, Poland, Aug. 31-Sept. 4, 1969, pp. 755–766.Google Scholar
  16. 16.
    G. M. Wilson, in: Advances in Cryogenic Engineering, Vol. 9, Springer Science+Business Media New York (1964), p. 168.Google Scholar
  17. 17.
    G. M. Wilson, in: Advances in Cryogenic Engineering, Vol. 11, Springer Science+Business Media New York (1966), p. 392.Google Scholar
  18. 18.
    D. Zudkevitch and J. Joffe, AIChE J., 16: 112 (1970).CrossRefGoogle Scholar
  19. 19.
    J. Joffe and D. Zudkevitch, paper presented at the 159th National ACS Meeting, Houston, Texas, Feb. 22–27, 1970.Google Scholar
  20. 20.
    J. O. Hirschfelder, C. F. Curtiss, and R. B. Bird, Molecular Theory of Gases and Liquids, John Wiley and Sons, New York (1954), p. 159.Google Scholar
  21. 21.
    J. H. Dymond and E. B. Smith, The Virial Coefficients of Gases, Clarendon Press, Oxford, England (1969).Google Scholar
  22. 22.
    W. N. Zaki, H. R. Heichelheim, K. A. Kobe, and J. J. Mcketta, J. Chem. Eng. Data, 5: 343 (1960).CrossRefGoogle Scholar
  23. 23.
    R. F. Hajjar, W. B. Kay, and G. F. Leverett, J. Chem. Eng. Data, 14: 377 (1969).CrossRefGoogle Scholar
  24. 24.
    J. A. Huff and J. M. Reed III, J. Chem. Eng. Data, 8: 306 (1963).CrossRefGoogle Scholar
  25. 25.
    R. D. Gunn, M.S. Thesis, University of California, Berkeley, California (1958).Google Scholar
  26. 26.
    M. J. Hiza and A. G. Duncan, AIChE J., 16: 733 (1970).CrossRefGoogle Scholar
  27. 27.
    K. S. Pitzer and R. F. Curl, J. Am. Chem. Soc., 79: 2369 (1957).CrossRefGoogle Scholar
  28. 28.
    A. E. Hoover, I. Nagata, T. W. Leland, Jr., and R. Kobayashi, J. Chem. Phys., 48: 2633 (1968).CrossRefGoogle Scholar
  29. 29.
    W. C. Edmister, J. Vairogs, and A. J. Klekers, AIChE J., 14: 479 (1968).CrossRefGoogle Scholar
  30. 30.
    A. R. Price and R. Kobayashi, J. Chem. Eng. Data, 4: 40 (1959).CrossRefGoogle Scholar
  31. 31.
    S.-D. Chang and B. C.-Y. Lu, Chem. Eng. Progr. Symp. Ser., 63 (81): 18 (1967).Google Scholar
  32. 32.
    I. Wichterle, “Low Temperature Vapor-Liquid Equilibria in the Methane-Ethane-Propane Ternary and Associated Binary Methane Systems with Special Consideration of the Equilibria in the Vicinity of the Critical Temperature of Methane,” Monograph, Rice University, Houston, Texas, Aug. 31, 1970.Google Scholar
  33. 33.
    W. W. Akers, J. F. Burns, and W. R. Fairchild, Ind. Eng. Chem., 46: 2531 (1954).CrossRefGoogle Scholar
  34. 34.
    L. Djordjevich and R. A. Budenholzer, J. Chem. Eng. Data, 15: 10 (1970).CrossRefGoogle Scholar
  35. 35.
    M. R. Cines, J. T. Roach, R. J. Hogan, and C. H. Roland, Chem. Eng. Progr. Symp. Ser., 49 (6): 1 (1953).Google Scholar

Copyright information

© Springer Science+Business Media New York 1972

Authors and Affiliations

  • S.-D. Chang
    • 1
  • B. C.-Y. Lu
    • 1
  1. 1.University of OttawaOttawaCanada

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