Ion-Exchange Kinetics: Heterogeneous Resin-Phase Model

AIChE Journal

Volumn 42, Issue 1, 1996, Pages 161-175

  Hasnat, Abul ^a   Juvekar, Vinay A ^a  

^a INDIAN INSTITUTE OF TECHNOLOGY BOMBAY   (India)

Author keywords

[No Author keywords available]

Indexed keywords

HETEROGENEOUS RESIN-PHASE; ION EXCHANGE; KINETIC THEORIES; MODELS;

DIFFUSION; DISSOCIATION; ION EXCHANGE RESINS; IONS; MATHEMATICAL MODELS; REACTION KINETICS;

CATION EXCHANGE KINETICS; COIONS; ELECTRONEUTRALITY; FILM THICKNESS; ION DIFFUSION COEFFICIENTS; TORTUOSITY FACTOR;

ION EXCHANGE;

EID: 0029657427     PISSN: 00011541     EISSN: None     Source Type: Journal    
DOI: 10.1002/aic.690420114     Document Type: Article

References (43)

1. Anderson, R. E., "Ion-Exchange Separations," Handbook of Separation Techniques for Chemical Engineers, 2nd ed., P. A. Schweitzer, ed., McGraw-Hill, New York (1988).
2. Bajpai, R. K., A. K. Gupta, and M. Gopala Rao, "Single Particle Studies of Binary and Ternary Ion Exchange Kinetics," AIChE J., 20(5), 989 (1974).
3. Bhandari, V. M., V. A. Juvekar, and S. R. Patwardhan, "Sorption Studies on Ion Exchange Resin. 1. Sorption of Strong Acids in Weak Base Resins," Ind. Eng. Chem. Res., 31, 1060 (1992).
4. Bockris, J. O. M., and A. K. N. Reddy, Modern Electrochemistry, Vol. 2, Plenum Press, New York, p. 747 (1970).
5. Boyd, G. E., and K. Bunzl, "The Donnan Equilibrium in Cross-Linked Polystyrene Cation and Anion Exchangers," J. Amer. Chem. Soc., 89(8), 1776 (1967).
6. Boyd, G. E., and B. A. Soldano, "Self-Diffusion of Cations in and Through Sulphonated Polystyrene Cation Exchange Polymers," J. Amer. Chem. Soc., 75(24), 6091 (1954).
7. Boyd, G. E., A. W. Adamson, and L. S. Myers, Jr., "The Exchange Adsorption of Ions from Aqueous Solutions by Organic Zeolites: II. Kinetics," J. Amer. Chem. Soc., 60, 836 (1947).
8. Brown, C. J., and C. J. Fletcher, "Water Deionization by Recoflo Short Bed Ion Exchange," Proc. Int. Water Conf., Pittsburgh (Oct. 27-29, 1986).
9. Costa, E., A. de Lucas, and M. E. Gonzalez, "Ion Exchange: Determination of Interdiffusion Coefficients," Ind. Eng. Chem. Fund., 23, 400 (1984).
10. Glaski, F. A., and J. S. Dranoff, "Ion Exchange Kinetics: A Comparison of Models," AIChE J., 9(3), 427 (1963).
11. Gopala Rao, M., and M. M. David, "Single-Particle Studies of Ion Exchange in Packed Beds: Cupric Ion-Sodium Ion System," AIChE J., 10(2), 213 (1964).
12. Graham, E. E., "Application of Stefan-Maxwell Equation to Multicomponent Ion Exchange," Fundamentals and Applications of Ion Exchange, L. Liberty and J. R. Miller, eds., NATO, ASI Series, Martinus Nijhoff Publishers, The Netherlands (1985).
13. Graham, E. E., and J. S. Dranoff, "Application of Stefan-Maxwell Equations to Diffusion in Ion Exchangers: 1. Theory," Ind. Eng. Chem. Fund., 21, 360 (1982).
14. Graham, E. E., and J. S. Dranoff, "Application of Stefan-Maxwell Equations to Diffusion in Ion Exchangers: 2. Experimental Results," Ind. Eng. Chem. Fund., 21, 365 (1982).
15. Helfferich, F., "Ion Exchange Kinetics," in Ion Exchange, Chap. 2, J. A. Marinsky, ed., Marcel Dekker, New York (1966).
16. Helfferich, F., "Ion Exchange Kinetics. Vs. Ion Exchange Accompanied by Chemical Reactions," J. Phys. Chem., 69(4), 1178 (1965).
17. Helfferich, F., Ion Exchange, McGraw-Hill, New York (1962a).
18. Helfferich, F., "Ion Exchange Kinetics: III. Experimental Test of the Theory of Particle Diffusion Controlled Ion Exchange," J. Phys. Chem., 66(1), 39 (1962b).
19. Helfferich, F., and M. S. Plesset, "Ion Exchange Kinetics: A Nonlinear Diffusion Problem," J. Chem. Phys., 28(3), 418 (1958a).
20. Hering, B., and H. Bliss, "Diffusion in Ion Exchange Resins," AIChE J., 9(4), 495 (1963).
21. Kataoka, T., H. Yoshida, and H. Sanda, "Estimation of the Resin Phase Diffusivity in Isotopic Ion Exchange," J. Chem. Eng. Japan, 7(2), 105 (1974).
22. Kraaijeveld, G., and J. A. Wesselingh, "The Kinetics of Film Diffusion-Limited Ion Exchange," Chem. Eng. Sci., 48(3), 467 (1993).
23. Krishna, R., "Diffusion in Multicomponent Electrolyte Systems," Chem. Eng. J., 35, 19 (1987).
24. Kuo, J. C. W., and M. M. David, "Single Particle Studies of Cation Exchange Rates in Packed Beds: Barium Ion-Sodium Ion Systems," AIChE J., 9(3), 365 (1963).
25. Liberti, L., and R. Passino, "Ion Exchange Kinetics in Selective Systems," Ion Exchange and Solvent Extraction, Chap. 3, J. A. Marinsky and Y. Marcus, eds., Marcel Dekker, New York (1985).
26. Miller, J. R., D. G. Smith, W. E. Marr, and T. R. E. Kressmann, "Solvent-Modified Polymer Networks: I. The Preparation and Characterization of Expanded Network and Macroporous Styrene Divinyl Benzene Copolymers and Their Sulphonates," J. Chem. Soc., 218 (1963).
27. Morig, C. R., and M. Gopala Rao, "Diffusion in Ion Exchange Resins: Sodium Ion-Strontium Ion System," Chem. Eng. Sci., 20, 889 (1965).
28. Morrison, Jr., F. A., and J. F. Osterle, "Electrokinetic Energy Conversion in Ultrafine Capillaries," J. Chem. Phys., 43(6), 2111 (1965).
29. Neale, G. H., and W. K. Nader, "Porous Media: Diffusive Flow Processes within an Homogeneous Swarm of Spherical Particles," AIChE J., 19(1), 112 (1973).
30. Pinto, N. G., and E. E. Graham, "Characterization of Resin Phase Diffusivities in Ion Exchange Resins," Ind. Eng. Chem. Fundam., 26, 2331 (1987).
31. Plesset, M. S., F. Helfferich, and J. N. Franklin, "Ion Exchange Kinetics: A Nonlinear Diffusion Problem: II. Particle Diffusion Control Exchange of Univalent and Bivalent Ions," J. Chem. Phys., 29(5), 1064 (1958b).
32. Reichenberg, D., "Properties of Ion-Exchange Resins in Relation to Their Structure. III Kinetics of Exchange," J. Amer. Chem. Soc., 75, 589 (1953).
33. Robinson, R. A., and R. M. Stokes, Electrolyte Solutions, Butterworths Scientific Publications, London (1959).
34. Schlögl, R., and F. Helfferich, "Comment on the Significance of Diffusion Potentials in Ion Exchange Kinetics," J. Chem. Phys., 26, 5 (1957).
35. Smith, T. G., and J. S. Dranoff, "Film Diffusion-Controlled Kinetics in Binary Ion Exchange," Ind. Eng. Chem. Fund., 3(3), 195 (1964).
36. Tetenbaum, M., and H. P. Gregor, "Self-Diffusion of Cations, Non-Exchange Anions, and Solvent in a Cation Exchange Resin System," J. Phys. Chem., 58, 1156 (1954).
37. Turner, J. C. R., "Nernst-Planck or No," Fundamentals and Applications of Ion Exchange, L. Liberty and J. R. Miller, eds., NATO, ASI series, Martinus Nijhoff Publishers, The Netherlands (1985).
38. Turner, J. C. R., and C. B. Snowdon, "Liquid-Side Mass-Transfer Coefficients in Ion Exchange: An Examination of the Nernst-Planck Model," Chem. Eng. Sci., 23, 321 (1968).
39. Turner, J. C. R., M. R. Church, A. S. W. Johnson, and C. B. Snowdon, "An Experimental Verification of the Nerst-Planck Model for Diffusion in an Ion Exchange Resin," Chem. Eng. Sci., 21, 317 (1966).
40. Vermeulen, T., M. D. LeVan, N. K. Hiester, and G. Klein, "Adsorption and Ion Exchange," in Perry's Chemical Engineering Handbook, 6th ed., R. H. Perry, D. W. Green, and J. O. Maloney, eds., p. 16-1.
41. Villadsen, J., and M. L. Michaelsen, Solution of Differential Equation Models by Polynomial Approximation, Prentice-Hall, Englewood Cliffs, NJ (1978).
42. Weatherley, L. R., and J. C. R. Turner, "Ion Exchange Kinetics - Comparison between a Macroporous and a Gel Resin," Trans. Inst. Chem. Eng., 54, 89 (1976).
43. Yoshida, H., and T. Kataoka, "Intraparticle Mass Transfer in Bidis-persed Porous Ion Exchangers Part II. Mutual Ion Exchange," Can. J. Chem. Eng., 63, 430 (1985).