Sweetzyme IT Extra is a trademarked immobilized enzyme formulation of glucose isomerase sold by the Danish company Novozymes. The following reaction is carried out in a 4.0 L reactor in the presence of an non-competitive inhibitor, I: E + G <=1=> EG =2=> E + F EG+1 <=3 => EIG G = glucose, F = fructose The Sweetzyme beads added to the reactor have a total surface area, a = 342 cm². Kinetic Parameters k₁= 0.00820 M-¹ s¹ k.₁ 0.00190 s¹¹ k₂ = 0.570 s¹ Initial/Total Enzyme concentration: Initial Bulk Substrate Concentration: Mass transfer coefficient, Eo 2.30 x 105 M Sb = 0.152 M k₁= 9.15 x 10 cm/s A. What is the maximum reaction velocity with no inhibitor (in mol/L-s)? (recall that Rapid Equilibrium and Quasi steady state approaches predict the same value for Vmax for this mechanism) B. What is the maximum reaction velocity (in mol/L-s) with the non-competitive inhibitor, I, at a concentration of [1] = 0.0029 M, with K₁= 1.8 x 10³ M.

Biochemistry
9th Edition
ISBN:9781319114671
Author:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Chapter1: Biochemistry: An Evolving Science
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
6.
Sweetzyme® IT Extra is a trademarked immobilized enzyme formulation of glucose isomerase sold by the Danish company
Novozymes. The following reaction is carried out in a 4.0 L reactor in the presence of an non-competitive inhibitor, I:
E + G <=1=> EG = 2 => E + F
EG+1 <=3=> EIG
G=glucose, F = fructose
The Sweetzyme beads added to the reactor have a total surface area, a = 342 cm².
Kinetic Parameters
k₁ = 0.00820 M₁¹ S¹
k.₁ = 0.00190 s¹
k₂ = 0.570 s¹
Initial/Total Enzyme concentration:
Initial Bulk Substrate Concentration:
Mass transfer coefficient,
Eo 2.30 x 105 M
Sb = 0.152 M
k₁ = 9.15 x 10 cm/s
A. What is the maximum reaction velocity with no inhibitor (in mol/L-s)?
(recall that Rapid Equilibrium and Quasi steady state approaches predict the same value for Vmax for this mechanism)
B. What is the maximum reaction velocity (in mol/L-s) with the non-competitive inhibitor, I, at a concentration of [1] =
0.0029 M, with K₁ = 1.8 x 10³ M.
C. Calculate the Dahmköhler number to determine if the reaction is diffusion-limited or reaction-limited
(i) when there is no inhibitor
(ii) when the uncompetitive inhibitor is present at [1] = 0.0029 M
Note: Use k₁ a, where a = surface area over reactor volume, when determining the Damkohler number.
D. Calculate KM using the Rapid Equilibrium approach (we've solved for this in the class notes) and determine the actual
reaction velocity for the bulk substrate concentration given, S, = 0.152 M with [1] = 0.0029 M. Will the inhibited
reaction with immobilized enzyme be reaction or diffusion limited? Determine the production rate of fructose.
Transcribed Image Text:6. Sweetzyme® IT Extra is a trademarked immobilized enzyme formulation of glucose isomerase sold by the Danish company Novozymes. The following reaction is carried out in a 4.0 L reactor in the presence of an non-competitive inhibitor, I: E + G <=1=> EG = 2 => E + F EG+1 <=3=> EIG G=glucose, F = fructose The Sweetzyme beads added to the reactor have a total surface area, a = 342 cm². Kinetic Parameters k₁ = 0.00820 M₁¹ S¹ k.₁ = 0.00190 s¹ k₂ = 0.570 s¹ Initial/Total Enzyme concentration: Initial Bulk Substrate Concentration: Mass transfer coefficient, Eo 2.30 x 105 M Sb = 0.152 M k₁ = 9.15 x 10 cm/s A. What is the maximum reaction velocity with no inhibitor (in mol/L-s)? (recall that Rapid Equilibrium and Quasi steady state approaches predict the same value for Vmax for this mechanism) B. What is the maximum reaction velocity (in mol/L-s) with the non-competitive inhibitor, I, at a concentration of [1] = 0.0029 M, with K₁ = 1.8 x 10³ M. C. Calculate the Dahmköhler number to determine if the reaction is diffusion-limited or reaction-limited (i) when there is no inhibitor (ii) when the uncompetitive inhibitor is present at [1] = 0.0029 M Note: Use k₁ a, where a = surface area over reactor volume, when determining the Damkohler number. D. Calculate KM using the Rapid Equilibrium approach (we've solved for this in the class notes) and determine the actual reaction velocity for the bulk substrate concentration given, S, = 0.152 M with [1] = 0.0029 M. Will the inhibited reaction with immobilized enzyme be reaction or diffusion limited? Determine the production rate of fructose.
Expert Solution
Answer to A

Vmax = k2[E0]          =0.570 s-1 × 2.30×10-5 M         = 1.311×10-5 M s-1

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Biochemistry
Biochemistry
Biochemistry
ISBN:
9781319114671
Author:
Lubert Stryer, Jeremy M. Berg, John L. Tymoczko, Gregory J. Gatto Jr.
Publisher:
W. H. Freeman
Lehninger Principles of Biochemistry
Lehninger Principles of Biochemistry
Biochemistry
ISBN:
9781464126116
Author:
David L. Nelson, Michael M. Cox
Publisher:
W. H. Freeman
Fundamentals of Biochemistry: Life at the Molecul…
Fundamentals of Biochemistry: Life at the Molecul…
Biochemistry
ISBN:
9781118918401
Author:
Donald Voet, Judith G. Voet, Charlotte W. Pratt
Publisher:
WILEY
Biochemistry
Biochemistry
Biochemistry
ISBN:
9781305961135
Author:
Mary K. Campbell, Shawn O. Farrell, Owen M. McDougal
Publisher:
Cengage Learning
Biochemistry
Biochemistry
Biochemistry
ISBN:
9781305577206
Author:
Reginald H. Garrett, Charles M. Grisham
Publisher:
Cengage Learning
Fundamentals of General, Organic, and Biological …
Fundamentals of General, Organic, and Biological …
Biochemistry
ISBN:
9780134015187
Author:
John E. McMurry, David S. Ballantine, Carl A. Hoeger, Virginia E. Peterson
Publisher:
PEARSON