GATE BT 2016 • Q50 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

An enzyme converts substrate A to product B. At a given liquid feed stream of flow rate 25 L.min-1 and feed substrate concentration of 2 mol.L-1, the volume of continuous stirred tank reactor needed for 95% conversion will be _____________ L. Given the rate equation: 0.1 10 . 5 A A A Cr C  where ̶ rA is the rate of reaction in mol.L-1.min-1 and CA is the substrate concentration in mol.L-1 Assumptions: Enzyme concentration is contant and does not undergo any deactivation during the reaction.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2016 Q.50)** **1. Governing Concept & Domain**: This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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