Biomass is being produced in a continuous stirred tank bioreactor of 750 L capacity. The sterile
feed containing 8 g • L-'glucose as substrate was fed at a flow rate of 150 L • h-1. The microbial
system follows Monod's model with
= 1.5
\x/s = 0.5 g cell mass'g substrate ™1.
Determine the cell productivity (g • L~1 • h~3) at steady state.
Options:
(A) Q.85
(B) Q.65
(C) Q.45
(D) Q.25
%
2. V B
3.
4. #D
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.64)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **MCQ** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Systematic Conceptual & Option-by-Option Evaluation**:
- Problem Focus: *"--- PAGE 21 ---
Biomass is being produced in a continuous stirred tank bioreactor of 750 L capacity. The sterile
feed containing 8 g • L-'glucose as substrate was fed at a flow rate of 150 L • h-1. The microbial
system f..."*
- **Option (B) [CORRECT]**: *"0.65"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"0.85"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"0.45"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"0.25
Options :
1. %
2. V B
3.
4. #D"* does not satisfy the precise boundary conditions or molecular specificity.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **B**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.66 marks).
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