GATE BT 2012 • Q51 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

The yield (%) for each step is (A) P-10, Q-7.2, R-4.5, S-2.0 (B) P-34, Q-24, R-15, S-1 (C) P-3.4, Q-2.4, R-1.5, S-0.1 (D) P-100, Q-71, R-44, S-29 Linked Answer Questions Statement for Linked Answer Questions 52 and 53: An E. coli cell of volume 10 -12 cm3 contains 60 molecules of lac -repressor. The repressor has a binding affinity (Kd) of 10-8 M and 10-9 M with and without lactose respectively, in the medium.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.51)** **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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