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Statistical thermodynamics of adsorption from multicomponent liquid mixtures on heterogeneous solid surfaces

Statistische Thermodynamik der Adsorption aus flüssigen Mehrkomponentenmischungen auf heterogenen festen Oberflächen

  • Inorganic and Physical Chemistry
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Abstract

The statistical thermodynamics of adsorption from multicomponent liquid mixtures on heterogeneous solid surfaces is discussed by assuming the cell adsorption model and ideal adsorbed phase.

Two integral representations for the adsorption isotherm are proposed: one based onn-dimensional energy distribution function (i.e., each adsorption site is characterized by adsorption energies of all components), and the other based on distribution of differences of adsorption energies ofn-1 components in relation to adsorption energy of the chosen component (i.e., each adsorption site is characterized byn-1 differences of adsorption energies of the components in relation to adsorption energy of the chosen component).

The expressions for differential adsorption heat for adsorption from binary liquid mixtures have been derived from both integral equations.

Zusammenfassung

Die statistische Thermodynamik der Adsorption von aus mehreren Komponenten bestehenden flüssigen Mischungen auf heterogenen festen Oberflächen wird für das Modell der Zellenadsorption bei ideal adsorbierter Phase diskutiert.

Zwei Integraldarstellungen der Adsorptionsisotherme werden vorgeschlagen: eine auf einen-dimensionale Verteilungsfunktion der Energie gestützte (das heißt, jede Adsorptionsstelle wird durch Adsorptionsenergien von allen Komponenten charakterisiert); die andere basiert auf der Verteilung der Unterschiede von Adsorptionsenergien dern-1-Komponenten in bezug auf die Adsorptionsenergie der ausgewählten Komponente (das heißt, jede Adsorptionsstelle wird durchn-1-Unterschiede charakterisiert. Formeln für differentiale Adsorptionswärmen für die Adsorption aus binären flüssigen Mischungen sind von beiden Integral-Gleichungen abgeleitet worden.

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References

  1. A. V. Kiselev andL. F. Pavlova, Izv. Akad. Nauk. SSSR, otd. khim. nauk12, 212 (1962).

    Google Scholar 

  2. S. G. Ash, R. Brown, andD. H. Everett, J. Chem. Soc. Faraday Trans. I71, 123 (1975).

    Google Scholar 

  3. C. E. Brown, D. H. Everett, andC. J. Morgan, J. Chem. Soc. Faraday Trans. I71, 883 (1975).

    Google Scholar 

  4. A. I. Rusanov andF. M. Kuni, Dokl. Akad. Nauk SSSR, otd. khim. nauk.176, 876 (1967).

    Google Scholar 

  5. S. Sircar, J. Novosad, andA. L. Myers, Ind. Eng. Chem. Fundam.11, 249 (1972).

    Google Scholar 

  6. S. Ono, Memoris Fac. Eng. Kynshn. Univ.12, 1 (1950).

    Google Scholar 

  7. S. Sircar andA. L. Myers, J. Phys. Chem.74, 2828 (1970).

    Google Scholar 

  8. C. J. Radke andJ. M. Prausnitz, AIChE18, 761 (1972).

    Google Scholar 

  9. C. J. Radke andJ. M. Prausnitz, J. Chem. Phys.57, 714 (1972).

    Google Scholar 

  10. M. T. Colphart andN. Hackerman, J. Coll. Interface Sci.43, 185 (1973).

    Google Scholar 

  11. M. T. Colphart andN. Hackerman, J. Coll. Interface Sci.43, 185 (1973).

    Google Scholar 

  12. J. Ościk, W. Rudziński, andA. Dabrowski, Chem. Phys. Lett.20, 444 (1973).

    Google Scholar 

  13. J. Ościk, A. Dabrowski, S. Sokolowski, andM. Jaroniec, J. Catalysis Hokkaido Univ.23, 91 (1975).

    Google Scholar 

  14. J. Ościk, A. Dabrowski, M. Jaroniec, andW. Rudziński, J. Coll. Interface Sci.56, 403 (1976).

    Google Scholar 

  15. J. Ościk, A. Dabrowski, andW. Rudziński, Coll. Polymer Sci255, 50 (1977).

    Google Scholar 

  16. J. Ościk, A. Dabrowski, W. Rudzinski, andM. Jaroniec, J. Coll. Interface, in press.

  17. M. Borówko, M. Jaroniec, J. Ościk, andR. Kusak, J. Coll. Interface Sci.69 311 (1979).

    Google Scholar 

  18. M. Borówko, M. Jaroniec, andW. Rudziński, Z. phys. Chem.260, 1027 (1979).

    Google Scholar 

  19. G. Delmas andD. Patterson, J. Phys. Chem.64, 1827 (1960).

    Google Scholar 

  20. M. Siškova andE. Erdös, Coll. Czech. Chem. Comun.25, 1729 (1960).

    Google Scholar 

  21. M. Siškova andE. Erdös, Coll. Czech. Chem. Comun.25, 2599 (1960).

    Google Scholar 

  22. M. Jaroniec andW. Rudziński, Surface Sci.52, 641 (1975).

    Google Scholar 

  23. T. L. Hill, J. Chem. Phys.17, 762 (1944).

    Google Scholar 

  24. M. Jaroniec, J. Chem. Soc. Faraday Trans. II73, 933 (1977).

    Google Scholar 

  25. R. H. Van Dongen andJ. C. P. Broeckoff, Surface Sci.18, 462 (1969).

    Google Scholar 

  26. N. N. Griazev andA. V. Kiselev, Z. Fiz. Khim. SSSR23, 158 (1954).

    Google Scholar 

  27. J. Ościk, Ann. Soc. Chim. Polonorum31, 621 (1957).

    Google Scholar 

  28. J. Ościk, Ann. Soc. Chim. Polonorum34, 745 (1960).

    Google Scholar 

  29. J. Ościk, Bull. Acad. Polon. Sci. ser. chim.9, 29 (1961).

    Google Scholar 

  30. J. Ościk, Bull. Acad. Polon. Sci. ser. chim.9, 33 (1961).

    Google Scholar 

  31. J. Ościk, Ann Univ. M. Curie-Sklodowska, Sec. AA17, 115 (1962).

    Google Scholar 

  32. C. Minka andA. L. Myers, AIChE19, 453 (1973).

    Google Scholar 

  33. E. Soczewiński, Anal. Chem.41, 179 (1969).

    Google Scholar 

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Borówko, M., Jaroniec, M. & Rudziński, W. Statistical thermodynamics of adsorption from multicomponent liquid mixtures on heterogeneous solid surfaces. Monatshefte für Chemie 112, 59–71 (1981). https://doi.org/10.1007/BF00906243

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  • DOI: https://doi.org/10.1007/BF00906243

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