GATE BT 2022 • Q58 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

The amount of biomass in a reactor at the end of the batch process is 50 g. Fed- batch operation is initiated by feeding the substrate solution at a constant rate of 1 L h -1. The concentration of substrate in the feed is 50 g L -1. The maximum biomass yield (Y௑ௌ ெ) is 0.4 ୥ ୠ୧୭୫ୟୱୱ ୥ ୱ୳ୠୱ୲୰ୟ୲ୣ. Assuming the system is at quasi-steady state, the maximum amount of biomass after 5 h of feeding is _____________ g. .59 An enzyme catalyzes the conversion of substrate A into product B. The rate equation for this reaction is 5 A A A Cr C   mol L-1 min-1 Substrate A at an initial concentration of 10 mol L -1 enters an ideal mixed flow reactor (MFR) at a flow rate of 10 L min-1. The volume of the MFR required for 50% conversion of substrate to product is ___________ L.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.58)** **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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