A 2 L bioreactor is being operated as a chemostat, at a flow rate of 0.8 L/h and
sterile feed of 10 g/L substrate. The bacterial growth follows Monod kinetics at
a maximum specific growth rate of 0.6 h-1 with a Monod constant of 0.5 g/L and
a biomass yield coefficient of 0.4 g/g.
The exit biomass concentration is _______ g/L.
(Round off to one decimal place)
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2025 Q.62)**
**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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