GATE BT 2024 • Q14
MCQ • 1 Mark
Section 4: Bioprocess Engineering & Process Biotechnology
Bioprocess Engineering
Subtopic: Bioreactor Design, Kinetics & Downstream Processing
Question Statement:
Which one of the following statements is correct about Reynolds Number (NRe) in
a stirred tank bioreactor?
Options:
-
(A) NRe is independent of the viscosity of the medium
-
(B) In laminar flow, mixing time increases with an increase in NRe
-
(C) NRe is inversely proportional to the impeller speed
-
(D) In turbulent flow, mixing time is independent of NRe
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.14)**
**1. Governing Concept & Domain**:
This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (1 Mark, 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)**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.
Launch CBT Mock Test