The following parameters apply to enzymes entrapped in a porous matrix. VM = 8 mg/L-min; KM = 150 mg/L; diffusivity De = 6.7x 10-10 dm^2/min; particle diameter = 0.23 mm; bulk substrate concentration Sb = Ss = 3 gr/L. With these values, calculate the dimensionless Michaelis constant β and then Thiele Modulus φ. Then, using those values, determine the effectiveness factor value η from the diagram below 0.8-0.6-0.01Od0.4-B = 100.2-0.14 6 8 102040 60 80 10THIELE MODULUS,Figure 3.20. Theoretical relationship between the effectiveness factor n and first-ordeThiele modulus, o, for a spherical porous immobilized particle for various values of Bwhere B is the dimensiontess Michaelis constant. (With permission, from D. 1. C. Wangeal. Fermentation und Enzyme Technology, John Wiley & Sons, Inc., New York, 1979p. 329.)EFFECTIVENESS FACTOR ()

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Introduction to Chemical Engineering Thermodynamics

8th Edition

ISBN:9781259696527

Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart

Chapter1: Introduction

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The following parameters apply to enzymes entrapped in a porous matrix. VM = 8 mg/L-min; KM = 150 mg/L; diffusivity De = 6.7x 10-10 dm^2/min; particle diameter = 0.23 mm; bulk substrate concentration Sb = Ss = 3 gr/L. With these values, calculate the dimensionless Michaelis constant β and then Thiele Modulus φ. Then, using those values, determine the effectiveness factor value η from the diagram below

0.8-
0.6-
0.01
Od
0.4-
B = 10
0.2-
0.1
4 6 8 10
20
40 60 80 10
THIELE MODULUS,
Figure 3.20. Theoretical relationship between the effectiveness factor n and first-orde
Thiele modulus, o, for a spherical porous immobilized particle for various values of B
where B is the dimensiontess Michaelis constant. (With permission, from D. 1. C. Wange
al. Fermentation und Enzyme Technology, John Wiley & Sons, Inc., New York, 1979
p. 329.)
EFFECTIVENESS FACTOR ()

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