In class problem: Effect of Diffusion on Reaction Rate Consider a system where a flat sheet of polymer coated with enzyme is placed in a stirred beaker. The intrinsic maximum reaction rate (Vm) of the enzyme is 6 x 10-6 mol/s-mg enzyme. The amount of enzyme bound to the surface has been determined to be 1 x 10-4 mg enzyme/cm² of support. In solution, the value of Km has been determined to be 2 x 10-³ mol/L. The mass-transfer coefficient can be estimated from standard correlations for stirred vessels. We assume in this case a very poorly mixed system where k₁=4.3 x 10-5 cm/s. What is the reaction rate when a) the bulk concentration of the substrate is 7 x 10-3 mol/L? b) [Sb] = 1 x 10-2 mol/L?

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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**In class problem: Effect of Diffusion on Reaction Rate**

Consider a system where a flat sheet of polymer coated with enzyme is placed in a stirred beaker. The intrinsic maximum reaction rate (Vₘ) of the enzyme is 6 x 10⁻⁶ mol/s-mg enzyme. The amount of enzyme bound to the surface has been determined to be 1 x 10⁻⁴ mg enzyme/cm² of support. In solution, the value of Kₘ has been determined to be 2 x 10⁻³ mol/L. The mass-transfer coefficient can be estimated from standard correlations for stirred vessels. We assume in this case a very poorly mixed system where kₗ = 4.3 x 10⁻⁵ cm/s. What is the reaction rate when a) the bulk concentration of the substrate is 7 x 10⁻³ mol/L? b) [Sb] = 1 x 10⁻² mol/L?

(Note: This text does not contain any graphs or diagrams.)
Transcribed Image Text:**In class problem: Effect of Diffusion on Reaction Rate** Consider a system where a flat sheet of polymer coated with enzyme is placed in a stirred beaker. The intrinsic maximum reaction rate (Vₘ) of the enzyme is 6 x 10⁻⁶ mol/s-mg enzyme. The amount of enzyme bound to the surface has been determined to be 1 x 10⁻⁴ mg enzyme/cm² of support. In solution, the value of Kₘ has been determined to be 2 x 10⁻³ mol/L. The mass-transfer coefficient can be estimated from standard correlations for stirred vessels. We assume in this case a very poorly mixed system where kₗ = 4.3 x 10⁻⁵ cm/s. What is the reaction rate when a) the bulk concentration of the substrate is 7 x 10⁻³ mol/L? b) [Sb] = 1 x 10⁻² mol/L? (Note: This text does not contain any graphs or diagrams.)
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