Consider scale-up of fungal fermentation from a 20 L model-type to 20,000 L
prototype stirred tank reactor. The model-type and prototype have the same
aspect ratio during scale-up. The impeller speed in the model-type is 500 rpm
and the scale-up criterion is constant shear.
The impeller speed in the prototype reactor will be ________ rpm (Answer in
integer).
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.61)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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