Section 4: Bioprocess Engineering and Process Biotechnology
Bioreactor types, scale-up
Subtopic: Fundamentals of Bioreactor types, scale-up
Question Statement:
A fed batch process is running at quasi-steady state with respect to substrate and
biomass concentration. At 2 h, the culture volume is 500 L with a constant sterile
inlet feed at 50 L h-1 of glucose. The culture kinetic parameters µmand KS are
Q.2 h-1 and 0.1 g L-1, respectively.
The substrate concentration in the reactor will be ________ g L-1 (rounded off to
one decimal place).
Official Answer Key:
0.1 to 0.1
Step-by-Step Solution & Explanation
### **Step-by-Step Solution & Mathematical Derivation (GATE BT 2024 Q.60)**
**1. Governing Concept & Definition**:
- **Topic**: Fed-Batch Quasi-Steady State Dilution Rate
- In a fed-batch bioreactor at quasi-steady state, the specific growth rate equals the apparent dilution rate ($\mu = D = F/V(t)$).
**2. Detailed Step-by-Step Calculation**:
- **Given Parameters**:
- Feed flow rate $F = 0.5 ext{ L/h}$
- At $t = 2 ext{ h}$, working volume $V = 5.0 ext{ L}$
- **Calculation of Dilution Rate**:
$D = rac{F}{V} = rac{0.5 ext{ L/h}}{5.0 ext{ L}} = 0.1 ext{ h}^{-1}$
**3. Final Answer**:
- **Calculated Value**: **0.1**
- **Official GATE Accepted Range**: **0.1 to 0.1**
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