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1. A carbohydrate (S) decomposes in the presence of an enzyme (E). The reaction follows Michaelis-Menten kinetics. The Michaelis-Menten kinetic parameters for this reaction are KM = 200 mol m³ and Vmax = 100 mol m²³ min¹. The initial concentration of substrate [So] Cso = 300 mol m-³. (a) If the reaction is run in a batch reactor, calculate how long the reaction has to be carried out to achieve a final substrate concentration that is 50% of the initial concentration. (Ans: t = 2.89 min) (b) If the same reaction is run in a CSTR, calculate the steady state substrate concentration at the outlet. The reactor volume is 300 cm³. The inlet substrate concentration 300 mol m³ and the volumetric flow rate is 100 cm³ min ¹. Also calculate the conversion achieved. (Ans: [S]e = Cse = 164.6 mol m³ and Xse = 0.451) (c) Calculate the volume of a plug flow reactor required to achieve the same outlet substrate concentration when operated at the same conditions as the CSTR in (b). (Ans: V = 255.5 cm³)

1. A carbohydrate (S) decomposes in the presence of an enzyme (E). The reaction follows Michaelis-Menten kinetics. The Michaelis-Menten kinetic parameters for this reaction are KM = 200 mol m³ and Vmax = 100 mol m²³ min¹. The initial concentration of substrate [So] Cso = 300 mol m-³. (a) If the reaction is run in a batch reactor, calculate how long the reaction has to be carried out to achieve a final substrate concentration that is 50% of the initial concentration. (Ans: t = 2.89 min) (b) If the same reaction is run in a CSTR, calculate the steady state substrate concentration at the outlet. The reactor volume is 300 cm³. The inlet substrate concentration 300 mol m³ and the volumetric flow rate is 100 cm³ min ¹. Also calculate the conversion achieved. (Ans: [S]e = Cse = 164.6 mol m³ and Xse = 0.451) (c) Calculate the volume of a plug flow reactor required to achieve the same outlet substrate concentration when operated at the same conditions as the CSTR in (b). (Ans: V = 255.5 cm³)

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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1. A carbohydrate (S) decomposes in the presence of an enzyme (E). The reaction follows Michaelis-Menten kinetics. The Michaelis-Menten kinetic parameters for this reaction are KM = 200 mol m3 and Vmax = 100 mol m³ min1. The initial concentration of substrate [So] = Cso = 300 mol m-³. -3 (a) If the reaction is run in a batch reactor, calculate how long the reaction has to be carried out to achieve a final substrate concentration that is 50% of the initial concentration. (Ans: t = 2.89 min) (b) If the same reaction is run in a CSTR, calculate the steady state substrate concentration at the outlet. The reactor volume is 300 cm³. The inlet substrate concentration 300 mol m³ and the volumetric flow rate is 100 cm³ min ¹. Also calculate the conversion achieved. (Ans: [S]e = Cse=164.6 mol m³ and Xse = 0.451) (c) Calculate the volume of a plug flow reactor required to achieve the same outlet substrate concentration when operated at the same conditions as the CSTR in (b). (Ans: V = 255.5 cm³)
Transcribed Image Text:1. A carbohydrate (S) decomposes in the presence of an enzyme (E). The reaction follows Michaelis-Menten kinetics. The Michaelis-Menten kinetic parameters for this reaction are KM = 200 mol m3 and Vmax = 100 mol m³ min1. The initial concentration of substrate [So] = Cso = 300 mol m-³. -3 (a) If the reaction is run in a batch reactor, calculate how long the reaction has to be carried out to achieve a final substrate concentration that is 50% of the initial concentration. (Ans: t = 2.89 min) (b) If the same reaction is run in a CSTR, calculate the steady state substrate concentration at the outlet. The reactor volume is 300 cm³. The inlet substrate concentration 300 mol m³ and the volumetric flow rate is 100 cm³ min ¹. Also calculate the conversion achieved. (Ans: [S]e = Cse=164.6 mol m³ and Xse = 0.451) (c) Calculate the volume of a plug flow reactor required to achieve the same outlet substrate concentration when operated at the same conditions as the CSTR in (b). (Ans: V = 255.5 cm³)
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