Abstract
In the present investigation, a mathematical model describing the transient behavior of a water in oil type liquid-membrane-immobilized enzyme system has been presented. A deterministic model (as opposed to a stochastic one) has been presented in an attempt to elucidate the effect of mass-transfer limitation due to immobilization on the kinetics of hydrolysis of urea using an unstructured Michaelis-Menten equation and a mechanistic approach toward diffusion phenomena. An immobilized urease system has been selected to test the model within the initial substrate (urea) concentration range 0.001-4 M. With the help of concentration distribution curves of the product-carrier complex as a function of dimensionless length along each globule of emulsion with time as a parameter, an attempt has been made to show how mass-transfer resistance affects the reaction engineering behavior of the system. It has been observed that the product distribution and reaction velocity as a function of substrate concentration as predicted from the proposed model explains reality quite satisfactorily.
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