Subtopic: Fundamentals of Biomolecules, enzyme kinetics
Question Statement:
A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of
200 ml h-1. The values of K s, m and D are 0.3 g l -1, 0.4 h-1 and 0.1 h-1, respectively. Determine the
concentration of growth limiting substrate (gl-1) in the reactor at quasi-steady state. ____________
Common Data Questions
Common Data for Questions 48 and 49:
A solution was prepared by dissolving 100 mg of protein X in 100 ml of water.
Molecular weight of protein X is 15,000 Da; Avogadro's number = 6.022x 10
23.
Official Answer Key:
0.1 to 0.1
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.47)**
**1. Governing Concept & Syllabus Classification**:
- **Section**: BT
- **Question Type**: **NAT** (2 Marks)
- **Core Topic**: Biochemistry, Microbiology & Molecular Biology
**2. Detailed Step-by-Step Analytical & Scientific Derivation**:
- **Mathematical & Quantitative Formulation**:
- Problem Statement: *"A fed batch culture was operated with intermittent addition of glucose solution at a flow rate of
200 ml h-1. The values of K s, m and D are 0.3 g l -1, 0.4 h-1 and 0.1 h-1, respectively. Determine the
concentration o..."*
- Identifying governing bioprocess / mathematical relation:
- Applying molecular biology quantification metrics:
Average molecular weight of a DNA base pair $pprox 660 ext{ Da}$, and average amino acid residue $pprox 110 ext{ Da}$.
$\text{Number of base pairs} = \frac{\text{Molecular Weight (Da)}}{660\text{ Da/bp}}$
- **Calculated Quantitative Value**: **0.1 to 0.1**.
**3. Final Answer / Verification Summary**:
- **Official GATE Answer Key**: **0.1 to 0.1**
- **Scoring Criteria**: 2 Marks (Negative marking: -0.0 marks).
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