GATE BT 2022 • Q56 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

For 1 0x  and 2 0x  , the value of 1 2 1 2 1 2 2 lim ln x x x x xx x        is __________. .57 Figure below depicts simplified metabolic and transport reactions taking place in the production of B from A in a cell. The subscript ' i' refers to intracellular metabolites. rj is the jth reaction flux in ୥ (୥ ୢ୰୷ ୫ୟୱୱ) ୦. Under pseudo-steady-state condition, the following reaction fluxes are available. r1 = 4, r3 = 1 and r6 = 1. The transport flux of B, r4, is _____________ ୥ (୥ ୢ୰୷ ୫ୟୱୱ) ୦.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.56)** **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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