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Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line

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  • Povodyrev, A.A.
  • Anisimov, M.A.
  • Sengers, J.V.
  • Levelt Sengers, J.M.H.

Abstract

We have developed a crossover scaling model for describing the thermodynamic properties of near-critical binary fluids. We have validated this model for the vapor-liquid equilibrium properties of mixtures of methane and ethane. We then apply the model to a most intriguing binary fluid, namely aqueous solutions of sodium chloride, so as to describe densities and concentrations at vapor-liquid equilibrium and isochoric specific heat capacities in the one-phase region. The description shows crossover from asymptotic Ising-like critical behavior to classical (mean-field) behavior. As the salt concentration increases, the region of Ising behavior decreases, although pure classical behavior is never attained. We suggest that processes of association/dissociation may be responsible for the failure of the model to describe compositions of the vapor phase of the solutions at very low concentrations.

Suggested Citation

  • Povodyrev, A.A. & Anisimov, M.A. & Sengers, J.V. & Levelt Sengers, J.M.H., 1997. "Vapor-liquid equilibria, scaling, and crossover in aqueous solutions of sodium chloride near the critical line," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 244(1), pages 298-328.
    • Handle: RePEc:eee:phsmap:v:244:y:1997:i:1:p:298-328
    DOI: 10.1016/S0378-4371(97)00300-2
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    References listed on IDEAS

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    1. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    2. W. Bischoff & H. Cremers & W. Fieger, 1987. "A characterization of the normal distribution by sufficiency of the least squares estimation," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 34(1), pages 259-273, December.
    3. Nieuwoudt, J.C. & Sengers, J.V., 1987. "Frequency dependence of transport properties of fluids near the critical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 147(1), pages 368-386.
    4. Sengers, J.V. & Gillespie, D.T. & Perez-Esandi, J.J., 1978. "Three-particle collision effects in the transport properties of a gas of hard spheres," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 90(3), pages 365-409.
    5. Kestin, J. & Korfali, Ö. & Sengers, J.V. & Kamgar-Parsi, B., 1981. "Density dependence and composition dependence of the viscosity of neon-helium and neon-argon mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 106(3), pages 415-442.
    6. Bodnar, G.M. & Gentry, W.M., 1989. "Effects Of The International Economy On The Domestic Industries: Tests Using Financial Data," Papers 106, Princeton, Department of Economics - Financial Research Center.
    7. Anderson, G.M. & Spitzer, W.O. & Weinstein, M.C. & Blackburn, J.L., 1989. "Benefits, Risks, and Costs of Prescription Drugs: A Scientific Basis for Evaluating Policy Options," Centre for Health Services and Policy Research 89:6r, University of British Columbia - Centre for Health Services and Policy Research..
    8. Kobayashi, Kenichi, 1972. "Mataji Umemura, Structure of the Labor Force and Employment Problems," Economic Review, Hitotsubashi University, vol. 23(2), pages 189-191, April.
    9. Albright, Elizabeth Gerber & Albright, Robert J., 1985. "The economic impact of uncertainties associated with energy-saving technologies," Energy, Elsevier, vol. 10(5), pages 631-634.
    10. Spitzer, Robert J., 1994. "Congress, the President, and Policymaking: A Historical Analysis. By Jean Reith Schroedel. Armonk: M.E. Sharpe, 1994. 240p. $55.00 cloth, $22.95 paper," American Political Science Review, Cambridge University Press, vol. 88(4), pages 1004-1005, December.
    11. Li, W.B. & Segrè, P.N. & Gammon, R.W. & Sengers, J.V., 1994. "Small-angle Rayleigh scattering from nonequilibrium fluctuations in liquids and liquid mixtures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 204(1), pages 399-436.
    12. Belyakov, M.Y. & Kiselev, S.B., 1992. "Crossover behavior of the susceptibility and the specific heat near a second-order phase transition," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 190(1), pages 75-94.
    13. Lee Rainwater & Timothy Smeeding, 1997. "Demography or Income Packaging: What Explains the Income Distribution of The Netherlands?," LIS Working papers 169, LIS Cross-National Data Center in Luxembourg.
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