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The effectiveness factor of a gel particle in a packed bed under compression is theoretically obtained for first and zero order reactions as a function of the Thiele modulus and properties of compaction. Trends of the theoretical results qualitatively agree with the previous experimental data. These results can be used to estimate the effectiveness factor of enzyme reactions with Michaelis-Menten type kinetics.
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Ueyama et al. (1985) studied this question.
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