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  • 1 Nuclear Research Center, Atomic Energy Authority, Cairo, Egypt
  • | 2 Chemistry Department, Faculty of Science, Cairo University, Giza, Egypt
  • | 3 Second Research Reactor, Atomic Energy Authority, Cairo, 13759 Egypt
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Abstract  

In this study, a new mathematical model was suggested to account for the effect of internal and external diffusion on fluid–solid noncatalytic reactions. The special features of this model are the combination of the transport processes and the chemical reaction kinetics with the added factor due to the structural properties of the solid reactant. The model was examined theoretically and experimentally. A reactive cloth filter that separates radionuclides from radioactive waste solutions is used as a practical application for the model. Analyses of the respective rate data in accordance with another two theoretical models showed that process is controlled by the rate of the diffusion step. The external and internal mass transfer constants across the liquid film and the resin matrix were determined from the graphical representation of the proposed model. The practical validation with the theoretical results offered satisfactory agreement at most of the process stages.