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?

Introduction to Chemical Engineering Thermodynamics
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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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?
Transcribed Image Text: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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