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A Novel Model for Predicting the Surface Tension of Binary Solutions

  • Ali Akbar Amooey
Article
  • 102 Downloads

A new surface tension model based on the thermodynamic definition of the surface tension is suggested. By utilizing the Wilson equation to represent the excess Gibbs free energy, the three-parameter surface tension equation for binary liquid mixtures is derived. The validity of the equation is tested in terms of correlations for 160 binary systems. An overall percent average absolute deviation of 0.24% is obtained.

Keywords

surface tension Gibbs free energy binary liquid mixtures 

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References

  1. 1.
    J. B. Lewis and H. R. C. Pratt, Oscillating droplets, Nature, 17, 1155–1156 (1953).CrossRefGoogle Scholar
  2. 2.
    B. L. Larsen, P. Rasmussen, and A. Fredenslund, A modified UNIFAC group-contribution model for prediction of phase equilibria and heats of mixing, Ind. Eng. Chem. Res., 26, 2274–2280 (1987).CrossRefGoogle Scholar
  3. 3.
    V. Bongiorno and H. T. Davis, Modified Van der Waals theory of fluid interfaces, Phys. Rev. A, 12, 2213–2224 (1975).CrossRefGoogle Scholar
  4. 4.
    D. B. Macleod, Relation between surface tension and density, Trans. Faraday Soc., 19, 38–46 (1923).CrossRefGoogle Scholar
  5. 5.
    F. B. Sprow and J. M.Prausnitz, Surface thermodynamics of liquid, Can. J. Chem. Eng., 45, 25–28 (1967).CrossRefGoogle Scholar
  6. 6.
    S. J. Nath, Surface tension of nonideal binary liquid mixtures as a function of composition, J. Colloid Interface Sci., 209, 116–122 (1999).CrossRefGoogle Scholar
  7. 7.
    A. A. Rafati and E. Ghasemian, Experimental and theoretical study of surface tension of binary mixtures of n-alkyl acetates + heptane, benzene, and toluene, J. Chem. Thermodyn., 41, 386–391 (2009).CrossRefGoogle Scholar
  8. 8.
    A. A. Rafati and E. Ghasemian, Study of surface tension and surface properties of binary alcohol/n-alkyl acetate mixtures, J. Colloid Interface Sci., 328, 385–390 (2008).CrossRefGoogle Scholar
  9. 9.
    G. M. Wilson, Vapor–liquid equilibrium. XI. A new expression for the excess free energy of mixing, J. Am. Chem. Soc., 86, 127–130 (1964).CrossRefGoogle Scholar
  10. 10.
    B. Giner, P. Cea, M. C. Lopez, F. M. Royo, and C. Lafuente, Surface tensions for isomeric chlorobutanes with isomeric butanols, J. Colloid Interface Sci., 275, 284–289 (2004).CrossRefGoogle Scholar
  11. 11.
    E. Calvo, M. Pintos, A. Amigo, and R. Bravo, Surface tension and density of mixtures of 1,3-dioxolane plus alkanols at 298.15 K: analysis under the extended Langmuir model, J. Colloid Interface Sci., 272, 438–443 (2004).CrossRefGoogle Scholar
  12. 12.
    E. Jimenez, M. Cabanas, L. Segade, S. Garcia-Garabal, and H. Casas, Excess volume, changes of refractive index and surface tension of binary 1,2-ethanediol + 1-propanol or 1-butanol mixtures at several temperatures, Fluid Phase Equilibr., 180, 151–164 (2001).CrossRefGoogle Scholar
  13. 13.
    G. F. Ouyang, L. Guizeng, C. Pan, Y. Y. Yang, Z. Q. Huang, and B. S. Kang, Excess molar volumes and surface tensions of xylene with isopropyl ether or methyl tert-butyl ether at 298.15 K, J. Chem. Eng. Data, 49, 732–734 (2004).CrossRefGoogle Scholar
  14. 14.
    G. F. Ouyang, Z. Q. Huang, J. M. Ou, W. Q. Wu, and B. S. Kang, Excess molar volumes and surface tensions of xylene with 2-propanol or 2-methyl-2-propanol at 298.15 K, J. Chem. Eng. Data, 48, 195–197 (2003).CrossRefGoogle Scholar
  15. 15.
    H. Kahl, T. Wadewitz, and J. Winkelmann, Surface tension of pure liquids and binary liquid mixtures, J. Chem. Eng. Data, 48, 580–586 (2003).CrossRefGoogle Scholar
  16. 16.
    D. K. Agarwal, R. Gopal, and S. Agarwal, Surface tensions of binary liquid mixtures of some polar and nonpolar liquids with dimethyl sulfoxide (Me2SO), J. Chem. Eng. Data, 24, 181–183 (1979).CrossRefGoogle Scholar
  17. 17.
    D. Gomez-Diaz, J. C. Mejuto, and J. M. Navaza, Physicochemical properties of liquid mixtures. 1. Viscosity, density, surface tension and refractive index of cyclohexane + 2,2,4-trimethylpentane binary liquid systems from 25 to 50oC, J. Chem. Eng. Data, 46, 720–724 (2001).CrossRefGoogle Scholar
  18. 18.
    L. I. Rolo, A. I. Caco, A. J. Queimada, I. M. Marrucho, and J. A. P. Coutinho, Surface tension of heptane, decane, hexadecane, eicosane, and some of their binary mixtures, J. Chem. Eng. Data, 47, 1442–1445 (2002).CrossRefGoogle Scholar
  19. 19.
    A. Garcia-Abuin, D. Gomez-Diaz, and L. R. Dolores, Density, speed of sound, refractive index, viscosity, surface tension, and excess volume of N-methyl-2-pyrrolidone-1-amino-2-propanol or bis(2-hydroxypropyl)amine from T = 293.15 to 323.15 K, J. Chem. Eng. Data, 56, 2904–2908 (2011).CrossRefGoogle Scholar
  20. 20.
    N. G. Tsierkezos, A. E. Kelarakis, and M. M. Palaiologou, Densities, viscosities, refractive indices, and surface tensions of dimethyl sulfoxide plus butyl acetate mixtures at 293.15, 303.15, and 313.15 K, J. Chem. Eng. Data, 45, 395–398 (2000).CrossRefGoogle Scholar
  21. 21.
    D. Papaioannou and C. Panayiotou, Surface tension of binary liquid mixtures, J. Colloid Interface Sci., 130, 432–438 (1989).CrossRefGoogle Scholar
  22. 22.
    H. Kahl, T. Wadewitz, and J. Winkelmann, Surface tension and interfacial tension of binary organic liquid mixtures, J. Chem. Eng. Data, 48, 1500–1507 (2003).CrossRefGoogle Scholar
  23. 23.
    S. Azizian and M. Hemmati, Surface tension of binary mixtures of ethanol plus ethylene glycol from 20 to 50oC, J. Chem. Eng. Data, 48, 662–663 (2003).CrossRefGoogle Scholar
  24. 24.
    L. Segade, J. J. De Llano, M. Dominguez-Perez, O. Cabeza, M. Cabanas, and E. Jimenez, Density, surface tension, and refractive index of octane + 1-alkanol mixtures at T = 298.15 K, J. Chem Eng. Data, 48, 1251–1255 (2003).CrossRefGoogle Scholar
  25. 25.
    B. M. S. Santos, A. G. M. Ferreira, and I. M. A Fonseca, Surface and interfacial tensions of the systems water + n-butyl acetate + methanol and water + n-pentyl acetate + methanol at 303.15 K, Fluid Phase Equilibr., 208, 1–21 (2003).CrossRefGoogle Scholar
  26. 26.
    V. T. Lam, H. D. Pfl ug, S. Murakami, and G. C. Benson, Excess enthalpies, volumes, and surface tensions of isomeric butanol and n-decanol mixtures, J. Chem. Eng. Data, 18, 63–66 (1973).CrossRefGoogle Scholar
  27. 27.
    K. Ridgway and P. A. Butler, Some physical properties of ternary system benzene–cyclohexane–n–hexane, J. Chem. Eng. Data, 12, 509–515 (1967).CrossRefGoogle Scholar
  28. 28.
    K. Nakanishi, T. Matsumoto, and M. Hayatsu, Surface tension of aqueous solutions of some glycols, J. Chem. Eng. Data, 16, 44–45 (1971).CrossRefGoogle Scholar
  29. 29.
    H. B. Evans and H. L. Clever, Surface tensions of binary mixtures of isooctane with benzene, cyclohexane plus n-dodecane at 30oC, J. Phys. Chem., 68, 3433–3435 (1964).CrossRefGoogle Scholar
  30. 30.
    D. Papaioannou, A. Magopoulou, M. Talilidou, and C. Panayiotou, Surface tensions of hydrogen-bonded systems, J. Colloid Interface Sci., 156, 52–55 (1993).CrossRefGoogle Scholar
  31. 31.
    H. P. Meissner and A. S. Michaels, Surface tensions of pure liquids and liquid mixtures, J. Ind. Eng. Chem., 41, 2782– 2787 (1949).CrossRefGoogle Scholar
  32. 32.
    S. M. Bardavid, G. C. Pedrosa, and M. Katz, Surface tensions of some nonelectrolyte binary liquid mixtures, J. Colloid Interface Sci., 165, 264–268 (1994).CrossRefGoogle Scholar
  33. 33.
    R. L. Schmidt, J. C. Randall, and H. L. Clever, Surface tension and density of binary hydrocarbon mixtures: benzene–nhexane and benzene–n-dodecane, J. Phys. Chem., 70, 3912–3916 (1966).CrossRefGoogle Scholar
  34. 34.
    H. L. Clever and C. C. Snead, Thermodynamics of liquid surfaces: surface tension of dimethyl sulfoxide and some dimethyl sulfoxideacetone mixtures, J. Phys. Chem., 67, 918–920 (1963).CrossRefGoogle Scholar
  35. 35.
    G. Vazquez, E. Alvarez, and J. M. Navaza, Surface tension of alcohol + water from 20 to 50°C, J. Chem. Eng. Data, 40, 611–614 (1995).CrossRefGoogle Scholar
  36. 36.
    G. Vazquez, E. Alvarez, R. Rendo, E. Romero, and J. M. Navaza, Surface tension of aqueous solutions of diethanolamine and triethanolamine from 25 to 50°C, J. Chem. Eng. Data, 41, 806–808 (1996).CrossRefGoogle Scholar
  37. 37.
    G. Vazquez, E. Alvarez, R. Rendo, and E. Romero, Surface tension of binary mixtures of water + monoethanolamine and water + 2-amino-2-methyl-1-propanol and tertiary mixtures of these amines with water from 25 to 50°C, J. Chem. Eng. Data, 42, 57–59 (1997)CrossRefGoogle Scholar
  38. 38.
    E. Alvarez, G. Vazquez, V. M. Sanchez, B. Sanjurjo, and J. M. Navaza, Surface tension of organic acids plus water binary mixtures from 20 to 50°C, J. Chem. Eng. Data, 42, 957–960 (1997).CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2014

Authors and Affiliations

  1. 1.Department of Chemical EngineeringUniversity of MazandaranBabolsarIran

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