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Volumn 111, Issue 24, 2013, Pages 3666-3697

The theory of non-electrolyte solutions: An historical review

Author keywords

associating liquids; non electrolyte solution; perturbation theory; polar liquids; solution theory history

Indexed keywords

CHEMICAL BONDS; ELECTROLYTES; LIQUIDS; MIXTURES; MOLECULES; VAN DER WAALS FORCES;

EID: 84890137948     PISSN: 00268976     EISSN: 13623028     Source Type: Journal    
DOI: 10.1080/00268976.2013.831140     Document Type: Review
Times cited : (23)

References (321)
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    • 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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    • 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
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    • For a detailed history of the contributions of the Dutch school to the theory of corresponding states, see
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    • Arch. Ńeerl., 24, 1 (1891).
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    • See Ref. [9], p. 27.
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    • Z. Physik. Chem. 83, 599 (1913).
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    • 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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    • 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 , Issue.39 , pp. 269-272
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    • ibid., 169, 317 (1939).
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    • ibid., 170, 464 (1939).
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    • For example, see
    • For example, see R. Furth, Sci. Progr. 146, 202 (1949);
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    • While lattice theories of liquids quickly fell out of favour among physicists, they persisted considerably longer among chemists and engineers
    • 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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    • ibid., 10, 51 (1942).
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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
    • 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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    • 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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    • 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 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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    • 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
    • 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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    • Chapter 7. Agood description of these approaches can be found in J.M. Prausnitz, R.N. Lichtenthaler and E. Gomes de Azevedo
    • Agood description of these approaches can be found in J.M. Prausnitz, R.N. Lichtenthaler and E. Gomes de Azevedo, Ref. [95], Chapter 7.
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    • Much has been written on the life, accomplishments and personality of van Laar. See E.P. van Emmerik, This, and also Ref. [220], provide entertaining reading
    • Much has been written on the life, accomplishments and personality of van Laar. See E.P. van Emmerik, Ref. [40]. This, and also Ref. [220], provide entertaining reading.
    • Ref. , Issue.40
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    • For a review of work on such mixtures up to 1981 see: J.S. Rowlinson and F.L. 3rd ed. (Butterworth & Co., London
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    • Equation (540
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