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Assume that for an enzyme immobilized on the surface of a non-porous supportmaterial the external mass transfer resistance for substrate is not negligible as compared to thereaction rate. The enzyme is subject to non-competitive inhibition, mechanism I as indicatedfrom Lecture 7c on Blackboard and in the equation below:(VMAx) (Cs)K)+k) C (KC,c)Where Cs substrate concentration [mmol/mL]; Cinhibitor concentration [mmol/mL]: KMMichaelis-Menten constant [mmol/mL]; K,, K2, K3 - inhibition constants [mmol/mL]a. Are multiple states possible for the overall system consisting of the diffusion and surfacereaction? Why or why not?b. Could the effectiveness factor (Damkohler Number) be greater than one in any of the statesdescribed in part A?

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Assume that for an enzyme immobilized on the surface of a non-porous support
material the external mass transfer resistance for substrate is not negligible as compared to the
reaction rate. The enzyme is subject to non-competitive inhibition, mechanism I as indicated
from Lecture 7c on Blackboard and in the equation below:
(VMAx) (Cs)
K)+k) C (KC,c)
Where Cs substrate concentration [mmol/mL]; Cinhibitor concentration [mmol/mL]: KM
Michaelis-Menten constant [mmol/mL]; K,, K2, K3 - inhibition constants [mmol/mL]
a. Are multiple states possible for the overall system consisting of the diffusion and surface
reaction? Why or why not?
b. Could the effectiveness factor (Damkohler Number) be greater than one in any of the states
described in part A?
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Assume that for an enzyme immobilized on the surface of a non-porous support material the external mass transfer resistance for substrate is not negligible as compared to the reaction rate. The enzyme is subject to non-competitive inhibition, mechanism I as indicated from Lecture 7c on Blackboard and in the equation below: (VMAx) (Cs) K)+k) C (KC,c) Where Cs substrate concentration [mmol/mL]; Cinhibitor concentration [mmol/mL]: KM Michaelis-Menten constant [mmol/mL]; K,, K2, K3 - inhibition constants [mmol/mL] a. Are multiple states possible for the overall system consisting of the diffusion and surface reaction? Why or why not? b. Could the effectiveness factor (Damkohler Number) be greater than one in any of the states described in part A?

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Step 1

Answer

Part a:

Multiple st

Answer

Part a:

Multiple states are possible if enzymatic reaction is mass transfer controlled or the enzyme on the surface of a non-porous support material changes from reaction controlled to the mass transfer controlled because when an enzyme immobilized on the surface of a non-porous support material and substrate diffuses through a thin liquid film surrounding the support surface to reach the reactive surfaces, then multiple steady states are possible of substrate concentration in bulk liquid if kL or mass transfer coefficient has intermediate value.

ates are possible if enzymatic reaction is mass transfer controlled or the enzyme on the surface of a non-porous support material changes from reaction controlled to the mass transfer controlled because when an enzyme immobilized on the surface of a non-porous support material and substrate diffuses through a thin liquid film surrounding the support surface to reach the reactive surfaces, then multiple steady states are possible of substrate concentration in bulk liquid if kL or mass transfer coefficient has intermediate value.

Step 2

Part b:

To determine whether diffusion resistance has a significant effect on the rate of enzymatic reactio...

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