The Balance between Diffusional and Surface Reaction Kinetic Models: A Theoretical Study

REFERENCES

• Lagergren , S.K. ( 1898 ) Zur theorie der sogenannten adsorption gelöster stoffe . Sven. Vetenskapsakad. Handl. , 24 : 1 .
   Google Scholar
• Ho , Y.S. ; McKay , G. ( 2000 ) The kinetics of sorption of divalent metal ions onto sphagnum moss peat . Water Res. , 34 : 735 .
   Web of Science ®Google Scholar
• Ward , C.A. ( 1977 ) The rate of gas absorption at a liquid interface . J. Chem. Phys. , 67 : 229 .
   Web of Science ®Google Scholar
• Ward , C.A. ; Findlay , R.D. ; Rizk , M. ( 1982 ) Statistical rate theory of interfacial transport I. Theoretical development . J. Chem. Phys. , 76 : 5599 .
   Web of Science ®Google Scholar
• Nieszporek , K. ; Banach , T. ( 2011 ) Influence of Energetic Heterogeneity and Lateral Interactions between Adsorbed Molecules on the Kinetics of Gas Adsorption . Ind. Eng. Chem. Res. , 50 ( 6 ): 3078 .
   Web of Science ®Google Scholar
• Azizian , S. ( 2011 ) Derivation of a simple equation for close to equilibrium adsorption dynamics of surfactants at air/liquid interface using statistical rate theory . Colloids and Surfaces A: Physicochemical and Engineering Aspects , 380 ( 1–3 ): 107 .
   Web of Science ®Google Scholar
• Plazinski , W. ( 2010 ) Statistical rate theory approach to description of the pH-dependent kinetics of metal ion adsorption . J. Phys. Chem. C , 114 ( 21 ): 9952 .
   Web of Science ®Google Scholar
• Azizian , S. ; Bashiri , H. ( 2008 ) Adsorption kinetics at the solid/solution interface: Statistical rate theory at initial times of adsorption and close to equilibrium . Langmuir , 24 : 11669 .
   PubMed Web of Science ®Google Scholar
• Suzuki , M. ( 1990 ) Adsorption Engineering ; Kodansha-Elsevier : Tokyo , Japan .
   Google Scholar
• Azizian , S.J. ( 2004 ) Kinetic models of sorption: a theoretical analysis . Coll. Int. Sci. , 276 : 47 .
   PubMed Web of Science ®Google Scholar
• Rudzinski , W. ; Plazinski , W. ( 2006 ) Kinetics of solute adsorption at solid/solution interfaces: a theoretical development of the empirical pseudo-first and pseudo-second order kinetic rate equations, based on applying the statistical rate theory of Interfacial transport . J. Phys. Chem. B , 110 : 16514 .
   PubMed Web of Science ®Google Scholar
• Myers , A.L. ( 1984 ) Adsorption of Pure Gases and Their Mixture on Heterogeneous Surfaces in Fundamentals of Adsorption ; Myers , A. L. ; Belfort , G. ; eds.; Eng. Foundation : New York .
   Google Scholar
• Rudzinski , W. ; Plazinski , W. ( 2007 ) Studies of the kinetics of solute adsorption at solid/solution interfaces: on the possibility of distinguishing between the diffusional and the surface reaction kinetic models by studying the pseudo-first order kinetics . J. Phys. Chem. C , 111 : 15100 .
   Web of Science ®Google Scholar
• Panczyk , T. ; Rudzinski , W. ( 2005 ) On the ways of generalization of adsorption kinetic equations for the case of energetically heterogeneous surfaces . Appl. Surf. Sci. , 252 : 678 .
   Web of Science ®Google Scholar
• Marczewski , A.W. (2010) Application of mixed order rate equations to adsorption of methylene blue on mesoporous carbons. Appl. Surf. Sci. , 256: 5145.
   Web of Science ®Google Scholar
• Haerifar , M. ; Azizian , S. ( 2012 ) Fractal-like adsorption kinetics at the solid/solution interface . Phys. Chem. C , 116 : 13111 .
   Web of Science ®Google Scholar
• Qiao , S. ; Hu , X. ( 2004 ) Effect of pore size distribution shape on the prediction of binary adsorption equilibrium and kinetics of gases in activated carbon . Sep. Purif. Technol. , 34 : 177 .
   Web of Science ®Google Scholar
• Tang , D. ; Zheng , Z. ; Lin , K. ; Luan , J. ; Zhang , J. ( 2007 ) Adsorption of p-nitrophenol from aqueous solutions onto activated carbon fiber . J. Hazard. Mater. , 143 : 49 .
   PubMed Web of Science ®Google Scholar
• Bhatnagar , A. ( 2007 ) Removal of bromophenol from water using industrial wastes as low cost adsorbents . J. Hazard. Mater. , B139 : 93 .
   Web of Science ®Google Scholar
• Vasconcelos , H.L. ; Favere , V.T. ; Goncalves , N.S. ; Laranjeira , C.M. ( 2007 ) Chitosan modified with Reactive Blue 2 dye on adsorption equilibrium of Cu(II) and Ni(II) ions . React. & Funct. Polym. , 67 : 1052 .
   Web of Science ®Google Scholar