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An enzyme is immobilized uniformly in a gelatin slab (thickness: L and area: A). One side is in contact with substrate solution with concentration of Csb and the other side is in contact with a glass plate. The mass transfer coefficient on the surface of the gelatinis ks. (a) Derive the equation for the substrate concentration with respect to x when the substrate is catalyzed by zero-order reaction (ko). Assume that the substrate is transferred by molecular diffusion in the direction only and the gelatin slab is thick enough to catalyze all the substrate while it diffuses into the slab. The substrate concentration at the surface of the slab in contact with the solution is Cso. (b) What is the critical thickness (xc) at which all substrate is consumed? (c) What is the substrate concentration at the surface of the slab (Cso)?

An enzyme is immobilized uniformly in a gelatin slab (thickness: L and area: A). One side is in contact with substrate solution with concentration of Csb and the other side is in contact with a glass plate. The mass transfer coefficient on the surface of the gelatinis ks. (a) Derive the equation for the substrate concentration with respect to x when the substrate is catalyzed by zero-order reaction (ko). Assume that the substrate is transferred by molecular diffusion in the direction only and the gelatin slab is thick enough to catalyze all the substrate while it diffuses into the slab. The substrate concentration at the surface of the slab in contact with the solution is Cso. (b) What is the critical thickness (xc) at which all substrate is consumed? (c) What is the substrate concentration at the surface of the slab (Cso)?

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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. An enzyme is immobilized uniformly in a gelatin slab (thickness: L and area: A). One side is in contact with substrate solution with concentration of Csb and the other side is in contact with a glass plate. The mass transfer coefficient on the surface of the gelatin is ks. (a) Derive the equation for the substrate concentration with respect to x when the substrate is catalyzed by zero-order reaction (ko). Assume that the substrate is transferred by molecular diffusion in the direction only and the gelatin slab is thick enough to catalyze all the substrate while it diffuses into the slab. The substrate concentration at the surface of the slab in contact with the solution is Cso. (b) What is the critical thickness (xc) at which all substrate is consumed? (c) What is the substrate concentration at the surface of the slab (Cso)?
Transcribed Image Text:. An enzyme is immobilized uniformly in a gelatin slab (thickness: L and area: A). One side is in contact with substrate solution with concentration of Csb and the other side is in contact with a glass plate. The mass transfer coefficient on the surface of the gelatin is ks. (a) Derive the equation for the substrate concentration with respect to x when the substrate is catalyzed by zero-order reaction (ko). Assume that the substrate is transferred by molecular diffusion in the direction only and the gelatin slab is thick enough to catalyze all the substrate while it diffuses into the slab. The substrate concentration at the surface of the slab in contact with the solution is Cso. (b) What is the critical thickness (xc) at which all substrate is consumed? (c) What is the substrate concentration at the surface of the slab (Cso)?
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