GATE BT 2024 • Q53
MCQ • 2 Marks
Section 4: Bioprocess Engineering & Process Biotechnology
Bioprocess Engineering
Subtopic: Bioreactor Design, Kinetics & Downstream Processing
Question Statement:
Under complete cell washout condition in a chemostat with sterile feed, which of
the following statements is/are correct?
Options:
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(A) Biomass concentration in the reactor is maximum
-
(B) Substrate concentration in the exit stream is less than that in the inlet stream
-
(C) Substrate concentration in the exit stream is equal to that in the inlet stream
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(D) Substrate concentration in the exit stream is zero
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.53)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (2 Marks, MCQ).
**2. Molecular / Bioprocess Mathematical Derivation**:
- Formulating the biological principles and kinetic expressions for Bioprocess Engineering.
- Applying governing bioprocess and biochemical equations:
$v = \frac{V_{max}[S]}{K_m + [S]}, \quad \mu = \frac{\mu_{max} S}{K_s + S}, \quad \frac{dX}{dt} = (\mu - D)X$
- Deductive verification establishes option **(C)** as the correct solution.
**3. Final Answer**:
Correct Option is **(C)**.
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