5. Oxygen uptake rates (OUR) and oxygen transfer rates (OTR) were determined in a fermenter with air bubbled through. a bioreactor to supply oxygen for the growth of E. Coli bacteria. In the two sets of data below, the fermenter is filled with growth media (aqueous solution) but no cells, and is degassed, removing all oxygen, then at time zero, air enters through the sparge at the bottom of the tank, and the dissolved oxygen (DO) level is measured as a function of time. A second experiment is done with the same fermenter, where the cells are growing in the fermenter at steady state in the stationary phase, and at time zero, the air is cut off, and the DO level is measured for a few minutes before the air is turned on again. The saturation dissolved oxygen concentration (C*) for the conditions used was 4.2 mg/L. Using the measured DO values, determine: DATA: A. the maximum oxygen transfer rate, OTR B. the volumetric transfer coefficient, ka C. the oxygen uptake rate, OUR, for the reactor with cells at steady state INITIAL STATE → Degassed tank Air on Tank filled with growth media (no cells) Time (min) DO level (mg/L) -1 0 0 0 1 0.56 2 1.01 3 1.43 4 1.88 5 2.21 6 2.58 7 2.87 8 3.14 3.35 3.51 3.65 3.78 3.9 3.995 4.07 4.13 4.17 9 PELB4569 10 11 12 13 14 15 16 17 18 4.2 Cells in tank reach steady state concentration Air off Air on Time (min) -1 0 1 2 3 4 5 6 7 8 DO level (mg/L) 4.2 4.2 4.12 4.03 3.91 3.77 3.64 3.51 3.35 3.46

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5. Oxygen uptake rates (OUR) and oxygen transfer rates (OTR) were determined in a fermenter with air bubbled through
a bioreactor to supply oxygen for the growth of E. Coli bacteria. In the two sets of data below, the fermenter is
filled with growth media (aqueous solution) but no cells, and is degassed, removing all oxygen, then at time
zero, air enters through the sparge at the bottom of the tank, and the dissolved oxygen (DO) level is measured
as a function of time. A second experiment is done with the same fermenter, where the cells are growing in the
fermenter at steady state in the stationary phase, and at time zero, the air is cut off, and the DO level is
measured for a few minutes before the air is turned on again. The saturation dissolved oxygen concentration
(C*) for the conditions used was 4.2 mg/L. Using the measured DO values, determine:
DATA:
A. the maximum oxygen transfer rate, OTR
B. the volumetric transfer coefficient, ka
C. the oxygen uptake rate, OUR, for the reactor with cells at steady state
INITIAL
STATE →
Degassed tank
Air on
Tank filled with growth
media (no cells)
Time
(min) DO level (mg/L)
-1
0
0
0
1
2
3
4
5
6
7
8
9
DER
10
11
12
13
14
15
16
17
18
0.56
1.01
1.43
1.88
2.21
2.58
2.87
3.14
3.35
3.51
3.65
3.78
3.9
3.995
4.07
4.13
4.17
4.2
Cells in tank reach steady state
concentration
Air off
Air on
Time
(min)
-1
0
1
2
3
4
5
6
7
8
DO level
(mg/L)
4.2
4.2
4.12
4.03
3.91
3.77
3.64
3.51
3.35
3.46
Transcribed Image Text:5. Oxygen uptake rates (OUR) and oxygen transfer rates (OTR) were determined in a fermenter with air bubbled through a bioreactor to supply oxygen for the growth of E. Coli bacteria. In the two sets of data below, the fermenter is filled with growth media (aqueous solution) but no cells, and is degassed, removing all oxygen, then at time zero, air enters through the sparge at the bottom of the tank, and the dissolved oxygen (DO) level is measured as a function of time. A second experiment is done with the same fermenter, where the cells are growing in the fermenter at steady state in the stationary phase, and at time zero, the air is cut off, and the DO level is measured for a few minutes before the air is turned on again. The saturation dissolved oxygen concentration (C*) for the conditions used was 4.2 mg/L. Using the measured DO values, determine: DATA: A. the maximum oxygen transfer rate, OTR B. the volumetric transfer coefficient, ka C. the oxygen uptake rate, OUR, for the reactor with cells at steady state INITIAL STATE → Degassed tank Air on Tank filled with growth media (no cells) Time (min) DO level (mg/L) -1 0 0 0 1 2 3 4 5 6 7 8 9 DER 10 11 12 13 14 15 16 17 18 0.56 1.01 1.43 1.88 2.21 2.58 2.87 3.14 3.35 3.51 3.65 3.78 3.9 3.995 4.07 4.13 4.17 4.2 Cells in tank reach steady state concentration Air off Air on Time (min) -1 0 1 2 3 4 5 6 7 8 DO level (mg/L) 4.2 4.2 4.12 4.03 3.91 3.77 3.64 3.51 3.35 3.46
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