-
6
-
-
0003852819
-
-
Butterworths Pub. Ltd., London See also the 3rd edition8, authored with Findlay L. Swinton in 1982
-
J.S. Rowlinson, Liquids and LiquidMixtures (Butterworths Pub. Ltd., London, 1959). See also the 3rd edition8, authored with Findlay L. Swinton in 1982.
-
(1959)
Liquids And Liquid Mixtures
-
-
Rowlinson, J.S.1
-
8
-
-
0003852819
-
-
For further discussion 3rd ed., Sec. 4.3 (Butterworth Scientific, London
-
In the case of liquid mixtures the pure component α may, in some cases, not occur in the liquid state at the temperature, T, and pressure, P, of the mixture; this is more likely to occur if the mixture is at or close to its saturation point. In that case the standard state chemical potential, μ0 α, must be estimated by extrapolation from some thermodynamically stable state, using the thermodynamic identity-∂μ0 α/∂P-= v0 α, where v0 α is the molar volume of pure component α at the temperature of the mixture. Such extrapolation is usually easily carried out at lower liquid temperatures, near to the triple or boiling points, where the liquid is relatively incompressible, but can create difficulties for higher temperatures approaching the critical value, where the liquid becomes easily compressible and ̄vα varies more rapidly with pressure. This limits the usefulness of the ideal solution concept to relatively low pressures, up to a few bar. For further discussion see J.S. Rowlinson and F.L. Swinton, Liquids and Liquid Mixtures, 3rd ed., Sec. 4.3 (Butterworth Scientific, London, 1982).
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(1982)
Liquids and Liquid Mixtures
-
-
Rowlinson, J.S.1
Swinton, F.L.2
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13
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84890218515
-
-
Th'eorie M'ecanique de la Chaleur, 2nd ed. (Gauthier-Villars, Paris
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G.A. Hirn, Cosmos (Paris), 22, 283 (1863); Th'eorie M'ecanique de la Chaleur, 2nd ed. (Gauthier-Villars, Paris, 1865).
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Cosmos (Paris
, vol.22
, Issue.283
, pp. 1863
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Hirn, G.A.1
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16
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51149142583
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J.C. Maxwell, Nature, 11, 357, 374 (1875).
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Nature
, vol.11
, Issue.357
, pp. 374
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Maxwell, J.C.1
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18
-
-
84890190243
-
-
Shortly After Van Der Waals Announced His Principle Of Corresponding States Based On His Equation Of State Kamerlingh Onnes Proposed A More General Derivation Of The Principle That Freed It From The Van Der Waals Assumption.
-
Shortly after van derWaals announced his principle of corresponding states based on his equation of state, Kamerlingh Onnes proposed a more general derivation of the principle that freed it from the van der Waals assumption. See Ref. [10], pp. 29-30.
-
See Ref.
, Issue.10
, pp. 29-30
-
-
-
19
-
-
84890190863
-
-
For a detailed history of the contributions of the Dutch school to the theory of corresponding states, see
-
For a detailed history of the contributions of the Dutch school to the theory of corresponding states, see Chapter 3 of Ref. [11
-
Chapter 3 of Ref.
, Issue.11
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-
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24
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-
84890201246
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-
Arch. Ńeerl., 24, 1 (1891).
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(1891)
Arch N´eerl
, vol.24
, pp. 1
-
-
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25
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-
84890143903
-
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See Ref. [9], p. 27.
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See Ref.
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, pp. 27
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34
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33646768692
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Zeit. Physik, 63, 245 (1930).
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Zeit Physik
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35
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0542374369
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M. Kac, G.E. Uhlenbeck, and P.C. Hemmer, J. Math. Phys., 4, 216 (1963).
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J. Math. Phys.
, vol.4
, pp. 216
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Kac, M.1
Uhlenbeck, G.E.2
Hemmer, P.C.3
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36
-
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36849141477
-
-
G.E. Uhlenbeck, P.C. Hemmer, andM. Kac, ibid., 4, 229 (1963).
-
(1963)
Ibid
, vol.4
, pp. 229
-
-
Uhlenbeck, G.E.1
Hemmer, P.C.2
Kac, M.3
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37
-
-
36849130094
-
-
P.C. Hemmer, M. Kac, and G.E. Uhlenbeck, ibid., 5, 60 (1964).
-
(1964)
Ibid
, vol.5
, pp. 60
-
-
Hemmer, P.C.1
Kac, M.2
Uhlenbeck, G.E.3
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38
-
-
0002149708
-
-
P.C. Hemmer, ibid., 5, 75 (1964).
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(1964)
Ibid
, vol.5
, pp. 75
-
-
Hemmer, P.C.1
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40
-
-
0346654411
-
-
see also
-
see also J.L. Lebowitz, Physica, 73, 48 (1974).
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Physica
, vol.73
, pp. 48
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Lebowitz, J.L.1
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41
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84890185506
-
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Fundamentals, (Clarendon Press, Oxford
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C.G. Gray and K.E. Gubbins, Theory of Molecular Fluids. Volume 1: Fundamentals, p. 290 (Clarendon Press, Oxford, 1984).
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(1984)
Theory of Molecular Fluids.
, vol.1
, pp. 290
-
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Gray, C.G.1
Gubbins, K.E.2
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43
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84890186154
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G.A. Mansoori, N.F. Carnahan, K.E. Starling, and T.W. Leland, Jr., J. Chem. Phys., 54, 1623 (1971).
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J Chem Phys
, vol.54
, pp. 1623
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Mansoori, G.A.1
Carnahan, N.F.2
Starling, K.E.3
Leland Jr., T.W.4
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46
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-
84890166347
-
-
Z. Physik. Chem. 72, 723 (1910);
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(1910)
Chem.
, vol.72
, pp. 723
-
-
Physik, Z.1
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47
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84890143437
-
-
Z. Physik. Chem. 83, 599 (1913).
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(1913)
Chem
, vol.83
, pp. 599
-
-
Physik, Z.1
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49
-
-
0003547273
-
-
Prentice-Hall Englewood CliffsNJ For More Detailed Accounts Of Van Laar's Equation And Its Derivation See: J.M. Prausnitz
-
For more detailed accounts of van Laar's equation and its derivation see: J.M. Prausnitz, Molecular Thermodynamics of Fluid-Phase Equilibria (Prentice-Hall, Englewood Cliffs,NJ, 1969), pp. 264-269;
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(1969)
Molecular Thermodynamics Of Fluid-Phase Equilibria
, pp. 264-269
-
-
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50
-
-
0003436609
-
-
Van Nostrand, New York
-
J.H. Hildebrand, J.M. Prausnitz, and R.L. Scott, Regular and Related Solutions, pp. 82-85 (Van Nostrand, New York, 1970).
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(1970)
Regular and Related Solutions
, pp. 82-85
-
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Hildebrand, J.H.1
Prausnitz, J.M.2
Scott, R.L.3
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52
-
-
84890148364
-
-
doctoral thesis, University of Technology, Delft
-
A Mathematical Chemist, doctoral thesis, University of Technology, Delft (1991).
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(1991)
A Mathematical Chemist
-
-
-
57
-
-
84890232061
-
-
The argument is similar to that used to derive van Laar's equation. of Prausnitz, Ref
-
The argument is similar to that used to derive van Laar's equation. See pp. 269-272 of Prausnitz, Ref. [39
-
See
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, pp. 269-272
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72
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0004025391
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Clarendon Press, Oxford
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E.A. Guggenheim, Mixtures (Clarendon Press, Oxford, 1952).
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Mixtures
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Guggenheim, E.A.1
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76
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84890177037
-
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ibid., 165, 1 (1938).
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(1938)
Ibid
, vol.165
, pp. 1
-
-
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77
-
-
84890212988
-
-
ibid., 169, 317 (1939).
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(1939)
Ibid
, vol.169
, pp. 317
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-
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78
-
-
84890238296
-
-
ibid., 170, 464 (1939).
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(1939)
Ibid
, vol.170
, pp. 464
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-
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82
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84890187388
-
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For example, see
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For example, see R. Furth, Sci. Progr. 146, 202 (1949);
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R. Furth, Sci. Progr.
, vol.146
, pp. 202
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84
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0042114012
-
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While lattice theories of liquids quickly fell out of favour among physicists, they persisted considerably longer among chemists and engineers
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J.S. Rowlinson and C.F. Curtiss, J. Chem. Phys. 19, 1519 (1951). While lattice theories of liquids quickly fell out of favour among physicists, they persisted considerably longer among chemists and engineers.
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J Chem Phys
, vol.19
, pp. 1519
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Rowlinson, J.S.1
Curtiss, C.F.2
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87
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0004110140
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Prentice-Hall, Englewood Cliffs, NJ
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J.H. Hildebrand and R.L. Scott, Regular Solutions (Prentice-Hall, Englewood Cliffs, NJ, 1962), p. 152.
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(1962)
Regular Solutions
, pp. 152
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Hildebrand, J.H.1
Scott, R.L.2
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88
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42649141072
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3rd ed., Chapter 5 (CRC Press, Taylor & Francis, Boca Raton, FL
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E.D. Sloan and C.A. Koh, Clathrate Hydrates of Natural Gases, 3rd ed., Chapter 5 (CRC Press, Taylor & Francis, Boca Raton, FL, 2008).
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Clathrate Hydrates of Natural Gases
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Sloan, E.D.1
Koh, C.A.2
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0033726280
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Q.Wang, Q. Yan, P.F. Nealey, and J.J. de Pablo, Macromol. 33, 4512 (2000).
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Macromol.
, vol.33
, pp. 4512
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Wang, Q.1
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Nealey, P.F.3
De Pablo, J.J.4
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94
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A. Indrakanti, J.K. Maranas, A.Z. Panagiotopoulos, and S.K. Kumar, Macromol. 34, 8596 (2001).
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Macromol.
, vol.34
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Indrakanti, A.1
Maranas, J.K.2
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Kumar, S.K.4
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97
-
-
84890239502
-
-
ibid., 10, 51 (1942).
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(1942)
Ibid
, vol.10
, pp. 51
-
-
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99
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-
0004104918
-
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Addison-Wesley Pub. Co., Reading Derivations of the Flory-Huggins equation are given in several texts, e.g.: T.L. Hill
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Derivations of the Flory-Huggins equation are given in several texts, e.g.: T.L. Hill, An Introduction to Statistical Thermodynamics (Addison-Wesley Pub. Co., Reading, 1960), pp. 401-410;
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(1960)
An Introduction to Statistical Thermodynamics
, pp. 401-410
-
-
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101
-
-
36949088878
-
-
The theory of conformal solutions was first presented by Longuet-Higgins at a conference in Manchester in October 1950. where a report of the meeting is given
-
The theory of conformal solutions was first presented by Longuet-Higgins at a conference in Manchester in October 1950. See H.C. Longuet-Higgins, Nature 167, 12 (1951), where a report of the meeting is given.
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See H.C. Longuet-Higgins, Nature
, vol.167
, pp. 12
-
-
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110
-
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84890173358
-
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ibid. 29, 141 (1958).
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(1958)
Ibid
, vol.29
, pp. 141
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114
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84984088380
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T.W. Leland, Jr., P.S. Chappelear, and B.W. Gamson, Amer. Inst. Chem. Eng. J. 8, 482 (1962).
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Amer. Inst. Chem. Eng. J.
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Leland Jr., T.W.1
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Gamson, B.W.3
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37049113922
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T.W. Leland, Jr., J.S. Rowlinson, and G.A. Sather, Trans. Faraday Soc. 64, 1447 (1968).
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Trans. Faraday Soc.
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Leland Jr., T.W.1
Rowlinson, J.S.2
Sather, G.A.3
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120
-
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0003547273
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3rd ed., Sec. 5.7. (Prentice-Hall, Englewood Cliffs, NJ
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J.M. Prausnitz, R.N. Lichtenthaler and E. Gomes de Azevedo, Molecular Thermodynamics of Fluid-Phase Equilibria, 3rd ed., Sec. 5.7. (Prentice-Hall, Englewood Cliffs, NJ, 1999).
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Molecular Thermodynamics of Fluid-Phase Equilibria
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Prausnitz, J.M.1
Lichtenthaler, R.N.2
Gomes De Azevedo, E.3
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K.C. Mo, K.E. Gubbins, G. Jacucci, and I.R. McDonald, Mol. Phys. 27, 1173 (1974).
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Mol. Phys.
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Mo, K.C.1
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McDonald, I.R.4
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0040116412
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T.W. Leland, Jr., J.S. Rowlinson, G.A. Sather, and I.D.Watson, Trans. Faraday Soc. 65, 2034 (1969).
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Trans. Faraday Soc.
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Leland Jr., T.W.1
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Sather, G.A.3
Watson, I.D.4
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129
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84890141935
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For an English translation see also RH Dalitz and Sir Rudolf Peierls eds Selected Scientific Papers of Sir Rudolf Peierls with Commentary (World Scientific Singapore
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For an English translation see also R.H. Dalitz and Sir Rudolf Peierls, eds., Selected Scientific Papers of Sir Rudolf Peierls with Commentary (World Scientific, Singapore, 1997), p. 97.
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0004056428
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Statistical Physics, translated from Russian by E. Peierls and R.F. Peierls (Pergamon Press, Elmsford, NY
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L.D. Landau and E.M. Lifshitz, Course of Theoretical Physics. Vol. 5. Statistical Physics, translated from Russian by E. Peierls and R.F. Peierls (Pergamon Press, Elmsford, NY, 1958), pp. 93-95.
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Course of Theoretical Physics.
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Landau, L.D.1
Lifshitz, E.M.2
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84890172821
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For a more detailed discussion of these theories, see: C.G. Gray, K.E. Gubbins and C.G. Joslin, Theory of Molecular Fluids. (Oxford University Press, Oxford
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For a more detailed discussion of these theories, see: C.G. Gray, K.E. Gubbins and C.G. Joslin, Theory of Molecular Fluids. 2. Applications (Oxford University Press, Oxford, 2011), pp.827-831.
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Applications
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see also Ref
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Sec. 9-3.
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Sec.
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36849106010
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G.A. Mansoori, N.F. Carnahan, K.E. Starling, and T.W. Leland, J. Chem. Phys. 54, 1523 (1971).
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J.W. Gibbs, Elementary Principles in Statistical Mechanics, Theorem III (Yale University Press, New Haven, CT, 1902), p. 31.
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Gibbs, J.W.1
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The results were later found to contain errors, which were small for the reported free energies but large for enthalpies and volumes. Corrected results were given in the later paper of Singer and Singer141
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K. Singer, Chem. Phys. Lett. 3, 164 (1969). The results were later found to contain errors, which were small for the reported free energies but large for enthalpies and volumes. Corrected results were given in the later paper of Singer and Singer141.
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84890204998
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ibid. 51, 1317 (1955).
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Ibid
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216
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S.S. Wang, C.G. Gray, P.A. Egelstaff, and K.E. Gubbins, Chem. Phys. Lett. 21, 123 (1973).
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Chem. Phys. Lett.
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Wang, S.S.1
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S.S. Wang, P.A. Egelstaff, C.G. Gray, and K.E. Gubbins, Chem. Phys. Lett. 24, 453 (1974).
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Chem. Phys. Lett.
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Wang, S.S.1
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J. Chem. Phys. 61, 534 (1974).
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J Chem Phys
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224
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J.C.G. Calado, C.G. Gray, K.E. Gubbins, A.M.F. Palavra, V.A.M. Soares, L.A.K. Staveley, and C.H. Twu, J. Chem. Soc., Faraday Trans. I 74, 893 (1978).
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L.Q. Lobo, L.A.K. Staveley, P. Clancy, and K.E. Gubbins, J. Chem. Soc., Faraday Trans. I 76, 174 (1980).
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C.G. Gray, C.G. Joslin, V. Venkatasubramanian and K.E. Gubbins, Mol. Phys. 54, 1129 (1985).
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J.C.G. Calado, E.J.S. Gomes de Azevedo, P. Clancy, and K.E. Gubbins, J. Chem. Soc., Faraday Trans. I 79, 2657 (1983).
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J. Chem. Soc., Faraday Trans.
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J.R.S. Machado, K.E. Gubbins, L.Q. Lobo, and L.A.K. Staveley, J. Chem. Soc., Faraday Trans. I 76, 2496 (1980).
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ibid. 61, 4985 (1974);
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ibid. 35, 35 (1984);
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