Unsteady State Effectiveness Factor for Immobilized-Enzyme Reaction

Abstract

The unsteady state concentration profiles of substrate in immobilized-enzyme particles were calculated numerically for the Michaelis-Menten kinetics. The analytical solution of the profile was also derived when the reaction was approximated to be of the first-order. The integration of the profile gives an unsteady state effectiveness factor. The unsteady state effectiveness factor was obtained under various conditions. The critical time at which a pseudo-steady state approximately holds, was presented graphically as a function of the steady state effectiveness factor for various V₀( ＝Kₘ/Cᴀ₀) values. The charts indicate that the pseudo-steady state is achived within 10-20s under usual operating conditions.