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An 18.5 L chemostat is used to produce a mixed-growth product from a limiting substrate, S, and operates at steady state. Determine the rate of product, P, formation in g/L-h (i.e., DP) and in total g/h, using the following assumptions and parameters. Assumptions: 1. Monod kinetics apply. Assume that substrate is converted primarily to cell (biomass) so you can relate μ to S while assuming S used to form product is negligible. 2. The Luedeking - Piret equation can be applied to determine product formation. 3. Sterile feed. 4. Negligible cell death (kd= 0). Dilution rate, D = 0.77 μmax YMX/s = 0.52 gx/gS Ks = 87.6 mg/L |max = 1.25 h So = 690 mg/L a = 0.47 mg P/g X B=0.63 mg P/gx-h (assumption 1 means that all substrate goes into making new cells- OK to do for an approximation, but not exactly correct, since a product is being formed).

An 18.5 L chemostat is used to produce a mixed-growth product from a limiting substrate, S, and operates at steady state. Determine the rate of product, P, formation in g/L-h (i.e., DP) and in total g/h, using the following assumptions and parameters. Assumptions: 1. Monod kinetics apply. Assume that substrate is converted primarily to cell (biomass) so you can relate μ to S while assuming S used to form product is negligible. 2. The Luedeking - Piret equation can be applied to determine product formation. 3. Sterile feed. 4. Negligible cell death (kd= 0). Dilution rate, D = 0.77 μmax YMX/s = 0.52 gx/gS Ks = 87.6 mg/L |max = 1.25 h So = 690 mg/L a = 0.47 mg P/g X B=0.63 mg P/gx-h (assumption 1 means that all substrate goes into making new cells- OK to do for an approximation, but not exactly correct, since a product is being formed).

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 18.5 L chemostat is used to produce a mixed-growth product from a limiting substrate, S, and operates at steady state. Determine the rate of product, P, formation in g/L-h (i.e., DP) and in total g/h, using the following assumptions and parameters. Assumptions: 1. Monod kinetics apply. Assume that substrate is converted primarily to cell (biomass) so you can relate µ to S while assuming S used to form product is negligible. 2. The Luedeking - Piret equation can be applied to determine product formation. 3. Sterile feed. 4. Negligible cell death (kd = 0). Dilution rate, D = 0.77 μmax YM x/s = 0.52 g X/gS Umax = 1.25 h So = 690 mg/L a = 0.47 mg P/g X Ks = = 87.6 mg/L B = 0.63 mg P/gX-h (assumption 1 means that all substrate goes into making new cells- OK to do for an approximation, but not exactly correct, since a product is being formed).
Transcribed Image Text:An 18.5 L chemostat is used to produce a mixed-growth product from a limiting substrate, S, and operates at steady state. Determine the rate of product, P, formation in g/L-h (i.e., DP) and in total g/h, using the following assumptions and parameters. Assumptions: 1. Monod kinetics apply. Assume that substrate is converted primarily to cell (biomass) so you can relate µ to S while assuming S used to form product is negligible. 2. The Luedeking - Piret equation can be applied to determine product formation. 3. Sterile feed. 4. Negligible cell death (kd = 0). Dilution rate, D = 0.77 μmax YM x/s = 0.52 g X/gS Umax = 1.25 h So = 690 mg/L a = 0.47 mg P/g X Ks = = 87.6 mg/L B = 0.63 mg P/gX-h (assumption 1 means that all substrate goes into making new cells- OK to do for an approximation, but not exactly correct, since a product is being formed).
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