GATE BT 2012 • Q49 NAT • 2 Marks

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

The free energy change for the transport of two K+ into the cell is (A) +8.0 kJ/mol (B) +11.6 kJ/mol (C) +19.6 kJ/mol (D) +31.2 kJ/mol s v v s s v s v (A) (B) (C) (D) 2012 BIOTECHNOLOGY - BT BT 9/16 Common Data for Questions 50 and 51: The purification data for an enzyme is given below: Step Volume (ml) Total protein (mg) Total activity (Units ) Specific activity (Units/mg) P Cell-free extract 17 177 102 0.58 Q Q- Sepharose 14 18.8 72 3.83 R Phenyl Sepharose 26 9.2 45 4.89 S Sephacryl S-200 7 4.1 30 7.32

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.49)** **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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