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Teoret. i eksperim. khimiya. 2004. Vol.40 No. 4. p. 199-203

Macrokinetics of Chemical Processes on Porous Catalysts
Taking into Account Anomalous Diffusion


P. E. Strizhak

L. V. Pysarzhevsky Institute of Physical Chemistry, National Academy of Sciences of Ukraine
31 prosp. Nauky, 03028 Kyiv, Ukraine. E-mail: pstrizhak@hotmail.com

An analysis of macrokinetics taking into account that mass transfer is caused by anomalous diffusion is performed. In this case the "reaction-diffusion" equations are written in terms of fractal derivatives. It is shown that the rate of the process depends on the chemical rate constant in a scaling way for the inner dif- fusion regime. Contrary to the case of the classical diffusion, the effective activation energy is defined as Ek/γ, where 0 < g < 2, and Ek gives the activation energy of the chemical reaction. The classical case cor- responds to γ = 2.

Key word macrokinetics, heterogeneous catalysis, fractals, diffusion.