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3. (8) Immobilized Enzyme kinetics. An enzyme is immobilized in spherical, porous particles. The enzyme catalyzes the conversion of substrate S to product P. The
3. (8) Immobilized Enzyme kinetics. An enzyme is immobilized in spherical, porous particles. The enzyme catalyzes the conversion of substrate S to product P. The following graph shows the normalized substrate concentration (6) profile, where o is normalized to the substrate concentration at the particle surface. The x-axis ! indicates the distance from the particle surface, where l = 1 is at the center. The parameter p is defined as: R = 3 KmDS Where R is the particle radius, Vm" is the maximum reaction rate per unit volume of particle, Km is the Michaelis-Menten constant, and D, is the diffusivity of the substrate in the particle. 1.0 P = 0.1 0.2 1.0 o 0.5 2.0 1 0 1.0 0.5 e Based on the graph, indicate if the following statements are true or false. Statement True or False Diffusion limitation is more pronounced for larger particles. To avoid diffusion limitation, Vm' should be increased. Enzymes with larger Km tends to have less diffusion limitation. Increasing the bead porosity will not affect the substrate concentration profile in the particle
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