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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
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)?
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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