Consider a continuous culture provided with a sterile feed containing 10 mM glucose. The steady
state cell density and substrate concentration at three different dilution rates are given in the table
below.
Dilution rate (h-1) Cell density (g L-1) Substrate concentration (mM)
0.05 0.248 0.067
0.5 0.208 1.667
5 0 10
The maximum specific growth rate µm (in h-1), will be _____.
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2014 Q.31)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (1 Mark, 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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