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A bacterial culture having a specific oxygen uptake rate of 5 mmol O2 (g-DCW)–1 hr–1 is being grown aerobically in a fed-batch bioreactor. The maximum value of the volumetric oxygen transfer coefficient is 0.18s–1 for the stirred tank bioreactor and the critical dissolved oxygen concentration is 20% of the saturation concentration (8mg/ml). The maximum density to which the cells can be grown in the fed-batch process without the growth being limited by oxygen transfer, is approximately.
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- 14 g/l
- 26 g/l
- 32 g/l
- 65 g/l
Correct Option: D
KLa = 0.185 S–1 = 5.139 × 10–5 hr–1
Critical dO2 is 20% of the saturate conc.(8 mg/ml)
Cell density. CL = 1.6 × 103.m/l C = (8 × 103 mg/l)
do2= KLa (C – CL)
| OUR = | = qO2X | |
| 1 / O2 |
qO2 = mmo2/gm sw. hr.
= 5 × 10–3 gm dm hr
∴ KLa (C – CL) = q02X.
| ⇒ X = | ||
| qO2 |
| ∴ X = | = 65.779 g /lit. | |
| 5 × 10-3 |
