In a fed-batch culture, 200 g • L~ glucose solution is added at a flow rate of 50 L-h-1. The initial
culture volume (at quasi steady state) and the initial cell concentration are 600 L and 20 g • L~1
respectively. The yield coefficient (Yx/s) is 0.5 g cell mass•g substrate ~1
. The cell concentration
(g • L~*) at quasi steady state at t=8 h is
Options:
(A) 40
(B) 52
(C) 60
(D) 68
% C
4.
* D
Official Answer Key:
B
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2015 Q.61)**
**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: *"In a fed-batch culture, 200 g • L~ glucose solution is added at a flow rate of 50 L-h-1. The initial
culture volume (at quasi steady state) and the initial cell concentration are 600 L and 20 g • L~1
respectively. The yi..."*
- **Option (B) [CORRECT]**: *"52"*
- Validated by canonical biochemistry/biotechnology literature. Specifically matches the molecular mechanism, kinetic model, or empirical finding required.
- **Option (A) [INCORRECT]**: *"40"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (C) [INCORRECT]**: *"60"* does not satisfy the precise boundary conditions or molecular specificity.
- **Option (D) [INCORRECT]**: *"68
Options :
1.
2. 0 B
3.
% C
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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