Application of the Corresponding States Principle to Mixtures of Low Molecular Weight Gases at Low Temperatures and Elevated Pressures

  • T. W. Leland
  • R. Kobayashi
  • W. H. Mueller
Conference paper
Part of the Advances in Cryogenic Engineering book series (ACRE, volume 6)


There are two main avenues of approach in applying the corresponding states principle to multicomponent systems. One is through the use of reduced virial coefficients introduced by Guggenheim [1], Guggenheim and McGlashan [2], and further developed by Prausnitz and Gunn [3]. The other is through the use of composition dependent pseudo- critical properties proposed originally by Kay [4] with later improvements by Joffe [5], Stewart et al. [6] and Leland and Mueller [7]. The method of reduced virials is more rigorous theoretically but tine thermo-dynamic properties evaluated from it are limited to conditions under which the gas behavior can be described by equations involving only the second virial. The method of pseudo-criticals, while more empirical in nature, does not completely neglect the effect of higher virials.


Force Constant Quantum Effect Virial Coefficient Reference Substance High Virials 
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  1. 1.
    E. A. Guggenheim, Mixtures, 154–165, Clarendon Press, Oxford (1952).Google Scholar
  2. 2.
    E. A. Guggenheim and M. I. McGlashan, Proc. Roy. Soc (London), Vol. A206, 448 (1951).Google Scholar
  3. 3.
    J.M. Prausnitz and R.D. Gum, A. I. Ch. E. Jour., Vol. 4, 430 (1958);CrossRefGoogle Scholar
  4. 3a.
    ibid., Vol. 4, 494 (1958).CrossRefGoogle Scholar
  5. 4.
    W. B. Kay, Ind. Eng. Chem., Vol. 33, 590 (1941).CrossRefGoogle Scholar
  6. 5.
    J. Joffe, Ind. Eng, Chem., Vol. 39, 837 (1947).CrossRefGoogle Scholar
  7. 6.
    W. E. Stewart, S. P. Burkhardt, and D. Voo, Paper presented at A. I. Ch. E. National Meeting, Kansas City, Mo., May 18 (1959).Google Scholar
  8. 7.
    T.W. Leiand Jr. and W.H. Mueller, Ind. Eng. Chem., Vol. 51, 591 (1959).Google Scholar
  9. 8.
    J.E. Kilpatrick, J. Chem. Phys., Vol. 21, 274 (1953).CrossRefGoogle Scholar
  10. 9.
    F. London, Z. Physik, Vol. 63, 245 (1930);CrossRefGoogle Scholar
  11. 9a.
    ibid., Vol, 60, 491 (1930).CrossRefGoogle Scholar
  12. 10.
    P. London Trans. Faraday Soc., Vol, 33, 8 (1937).CrossRefGoogle Scholar
  13. 11.
    G. E. Uhlenbeck and E. Beth, Physics, Vol, 3, 729 (1936).Google Scholar
  14. 12.
    J.G. Kirkwood, Phys, Rev., Vol. 44, 31 (1933).CrossRefGoogle Scholar
  15. 13.
    K.S. Pitzer, J. Chem. Phys., Vol. 7, 583 (1939).CrossRefGoogle Scholar
  16. 14.
    R.J. Limbeck, Doctoral Dissertation, Amsterdam (1950).Google Scholar
  17. 15.
    J. de Boer, Physics, Vol. 14, 139 (1948);Google Scholar
  18. 15a.
    ibid., Vol, 14, 149 (1948);Google Scholar
  19. 15b.
    ibid., Vol. 14, 520 (1948).Google Scholar
  20. 16.
    J.O. Hirschfelder, C.F. Curtiss, and R.B. Bird, Molecular Theory of Gases, and Liquids, John Wiley and Sons, New York (1954).Google Scholar
  21. 17.
    W.H. Mueller, Ph.D. Thesis in Ch.E., Rice University, Dec. (1959).Google Scholar
  22. 18.
    W. H. Mueller, R. Kobayashi, and T.W. Leiand Jr., Paper presented at International Congress of Chemical Engineerieg, Joint Meeting of Institute Mexicano de Ingenieras Quimicos and A. I. Ch, E., June 19–22 (1960), Mexico City, D. F.(Publication forthcoming).Google Scholar
  23. 19.
    A. Michels, W. de Graaff, T. Wassenaar, J.M.H. Levelt, and P. Lowerse, Physics, Vol. 25, 25 (1959).Google Scholar
  24. 20.
    H. W. Wooliey, R. B. Scott, and P.O. Brickwedde, Nat. Bur. Std. Jour. Res., Vol. 41, 379 (1948).CrossRefGoogle Scholar
  25. 21.
    K. Shifer, Z. Phys, Chem., Vol. 136, 85 (1937).Google Scholar
  26. 22.
    W.H. Mueller, T.W. Leiand Jr., and R. Kobayaski, Paper presented at International Congress of Chemical Engineering, Joint Meeting of Institute Mexicano de Ingenieros Quimicos and A. I. Ch. E., June 19–22 (1960), Mexico City, D. F. (Publication forthcoming in A. I. Ch, E. Journal).Google Scholar
  27. 23.
    H.W. Schamp Jr., E.A. Mason, A.C.B. Richardson, and A. Altman, Phys. of Fluids, Vol. 1, 329 (1958).CrossRefGoogle Scholar
  28. 24.
    A. L. Lyderson, R. A. Greenkorn, and O. A. Hougen, “Generalized Thermodynamic Properties of Pure Fluids,” Univ. of Wis., Engr. Expt. Station, Rept. No, 4, Madison, Wisc. (1955).Google Scholar
  29. 25.
    W. H. Keesom, Helium, Chap. 2, Elsevier Press, New York (1942).Google Scholar
  30. 26.
    J. Otto, Handbuch der Experimentalphysik, Bd. 8, Part 2, 79, Leipzig (1929).Google Scholar
  31. 27.
    W.G. Schneider and J. A.H. Puffie, J. Chem, Phys.. Vol. 17, 751 (1949).CrossRefGoogle Scholar
  32. 28.
    L. Holtoni and J. Otto, Z. Physik, Vol. 23, 77 (1924).CrossRefGoogle Scholar
  33. 29.
    L. Boltorn and J. Otto, Z. Physik, Vol. 38, 359 (1926).CrossRefGoogle Scholar
  34. 30.
    A. Michels, G. P. Nijhoff and A. J. Gerver, J. Am, Physik, Vol, 12, 562 (1932).Google Scholar
  35. 31.
    J. Mizushima, K. Ono, and A. Ohno, J. Chem. Phys., Vol, 21, 2107 (1953).CrossRefGoogle Scholar
  36. 32.
    L. Holborn and J. Otto, Z. Physik, Vol, 33, 1 (1925).CrossRefGoogle Scholar
  37. 33.
    E. Kanda, Science Repts. Research Insts, Tohoku Univ., Ser, E. Vol. 1, 157 (1946).Google Scholar
  38. 84.
    C.M. Knobler, J. J.M. Beemakker, and H.F.P. Knapp, Physica, Vol. 25, 909 (1959).CrossRefGoogle Scholar
  39. 35.
    G.M. Kramer and j.G. Miller, J. Phys, Chem., Vol 61, 785 (1957).CrossRefGoogle Scholar
  40. 36.
    R.C. Harper Jr. and J.G. Miller, Chem. Phys., Vol. 27, 36 (1957).Google Scholar
  41. 37.
    R. J. Lunbeck and A. J. H. Boerboom, Physica, Vol. 17, 76. (1951).CrossRefGoogle Scholar
  42. 38.
    R. A. Gorski and j.G. Miller, J. Am. Chem. Soc., Vol. 75, 550 (1953).CrossRefGoogle Scholar
  43. 39.
    T. L. Cottrell et al., Trans. Faraday Soc., Vol. 52, 156, 310 (1956).Google Scholar
  44. 40.
    J. Peuss and J. J.M. Beennakker, Physics, Vol. 22, 869 (1956).Google Scholar

Copyright information

© Springer Science+Business Media New York 1961

Authors and Affiliations

  • T. W. Leland
    • 1
  • R. Kobayashi
    • 1
  • W. H. Mueller
    • 1
  1. 1.Rice UniversityHoustonUSA

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