A microbial culture (following Monod model for growth) has a maximum specific
growth rate of 0.1 h -1, Monod constant of 1 mg L -1 and endogenous decay rate of
0.1 day-1. At limiting substrate concentration of 23 g L-1, the net specific growth rate
will be ________day-1. (rounded off to one decimal place)
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2026 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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