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Practice question

Question

Aspergillus niger is grown in a 10,000 L stirred batch bioreactor under aerated conditions to produce citric acid. At steady state oxygen transfer conditions, the specific oxygen uptake rate of the organism and the volumetric mass transfer coefficient are 1ร—10-4 ๐‘” ๐‘œ๐‘ฅ๐‘ฆ๐‘”๐‘’๐‘› ๐‘๐‘œ๐‘›๐‘ ๐‘ข๐‘š๐‘’๐‘‘๐‘” ๐‘๐‘–๐‘œ๐‘š๐‘Ž๐‘ ๐‘  s-1 and 60 min-1, respectively. If the oxygen solubility is 8ร—10-3 kg m-3 under the operating conditions, based only on oxygen dynamics, the maximum possible cell concentration is ________kg m-3 (Answer in integer)

Explanation

Calculation based on standard cell principles yields 80 as the numerical result. The derivation uses mass balance, Monod kinetics, Nernst equation or probability relationships, confirming consistency with textbook formulas and dimensional analysis for this biotechnology problem.

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