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 1×10-4
g oxygen consumed
g biomass s-1 and 60 min-1, respectively.
If the oxygen solubility is 8×10-3 kg m-3 under the operating conditions, based
only on oxygen dynamics, the maximum possible cell concentration is
________kg m-3 (Answer in integer).
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.55)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Bioprocess Engineering})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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