1. A substrate solution of 0.1 kmol m³ is reacted in a stirred-batch reactor using the free enzyme. Determine the initial reaction rate and the conversion of the substrate after 10 min. 2. Immobilized-enzyme beads with a diameter of 10 mm containing the same amount of the enzyme above are used in the same stirred-batch reactor. Determine the initial reaction rate of the substrate solution of 0.1 kmol m-³. Assume that the effective diffusion coefficient of the substrate in the catalyst beads is 1.0 x 10 cm² s ¹. 3. How small should the diameter of immobilized-enzyme beads be to achieve an effectiveness factor larger than 0.9 under the same reaction conditions, as in case (2)?
1. A substrate solution of 0.1 kmol m³ is reacted in a stirred-batch reactor using the free enzyme. Determine the initial reaction rate and the conversion of the substrate after 10 min. 2. Immobilized-enzyme beads with a diameter of 10 mm containing the same amount of the enzyme above are used in the same stirred-batch reactor. Determine the initial reaction rate of the substrate solution of 0.1 kmol m-³. Assume that the effective diffusion coefficient of the substrate in the catalyst beads is 1.0 x 10 cm² s ¹. 3. How small should the diameter of immobilized-enzyme beads be to achieve an effectiveness factor larger than 0.9 under the same reaction conditions, as in case (2)?
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
Section: Chapter Questions
Problem 1.1P
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![7.5 A substrate S will be converted to a product P by an irreversible uni-molecular
enzyme reaction with the Michaelis constant Km=0.010 kmol m³ and the max-
imum rate Vmax=2.0 x 10-5kmol m³s-¹.
1. A substrate solution of 0.1 kmol m³ is reacted in a stirred-batch reactor using
the free enzyme. Determine the initial reaction rate and the conversion of the
substrate after 10 min.
2. Immobilized-enzyme beads with a diameter of 10 mm containing the same
amount of the enzyme above are used in the same stirred-batch reactor.
Determine the initial reaction rate of the substrate solution of 0.1 kmol m-³.
Assume that the effective diffusion coefficient of the substrate in the catalyst
beads is 1.0 x 10 cm²s-¹.
3. How small should the diameter of immobilized-enzyme beads be to achieve an
effectiveness factor larger than 0.9 under the same reaction conditions, as in
case (2)?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F653dd432-54a4-4cdd-9973-8e71c064d8fe%2Fe1de6940-0c4c-4883-b7a1-5a4bb9e4cf50%2F93674e_processed.png&w=3840&q=75)
Transcribed Image Text:7.5 A substrate S will be converted to a product P by an irreversible uni-molecular
enzyme reaction with the Michaelis constant Km=0.010 kmol m³ and the max-
imum rate Vmax=2.0 x 10-5kmol m³s-¹.
1. A substrate solution of 0.1 kmol m³ is reacted in a stirred-batch reactor using
the free enzyme. Determine the initial reaction rate and the conversion of the
substrate after 10 min.
2. Immobilized-enzyme beads with a diameter of 10 mm containing the same
amount of the enzyme above are used in the same stirred-batch reactor.
Determine the initial reaction rate of the substrate solution of 0.1 kmol m-³.
Assume that the effective diffusion coefficient of the substrate in the catalyst
beads is 1.0 x 10 cm²s-¹.
3. How small should the diameter of immobilized-enzyme beads be to achieve an
effectiveness factor larger than 0.9 under the same reaction conditions, as in
case (2)?
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