Inlet concentration (g/L), Glucose, Cs Glucose, Cs Aiba et al. (1968) reported the results of a chemostat study on the growth of a specific strain of baker's yeat as shown in the following table. The inlet stream of the chemostat did not contain any cells or products: Dilution Rate, D, 1/hr Steady State concentration (g/L) Ethanol, Cp Cells, Cx 0.084 21.5 0.054 7.97 2.00 0.100 10.9 0.079 4.70 1.20 0.160 21.2 0.138 8.57 2.40 0.198 20.7 0.186 8.44 2.33 0.242 10.8 0.226 4.51 1.25 (a) Find the rate equation for cell growth in the form of (µm * S)/(Ks + S) * X. Determine μm and Ks from the data and then write the final form of the equation.

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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Problem 1.1P
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Inlet concentration
(g/L), Glucose, Cs
Glucose, Cs
Aiba et al. (1968) reported the results of a chemostat study on the growth of a specific strain of baker's
yeat as shown in the following table. The inlet stream of the chemostat did not contain any cells or
products:
Dilution Rate,
D, 1/hr
Steady State concentration (g/L)
Ethanol, Cp
Cells, Cx
0.084
21.5
0.054
7.97
2.00
0.100
10.9
0.079
4.70
1.20
0.160
21.2
0.138
8.57
2.40
0.198
20.7
0.186
8.44
2.33
0.242
10.8
0.226
4.51
1.25
(a) Find the rate equation for cell growth in the form of (µm * S)/(Ks + S) * X. Determine μm and Ks
from the data and then write the final form of the equation.
Transcribed Image Text:Inlet concentration (g/L), Glucose, Cs Glucose, Cs Aiba et al. (1968) reported the results of a chemostat study on the growth of a specific strain of baker's yeat as shown in the following table. The inlet stream of the chemostat did not contain any cells or products: Dilution Rate, D, 1/hr Steady State concentration (g/L) Ethanol, Cp Cells, Cx 0.084 21.5 0.054 7.97 2.00 0.100 10.9 0.079 4.70 1.20 0.160 21.2 0.138 8.57 2.40 0.198 20.7 0.186 8.44 2.33 0.242 10.8 0.226 4.51 1.25 (a) Find the rate equation for cell growth in the form of (µm * S)/(Ks + S) * X. Determine μm and Ks from the data and then write the final form of the equation.
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