GATE BT 2016 • Q35 NAT • 1 Mark

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

The equilibrium potential of a biological membrane for Na + is 55 mV at 37 ⁰C. Concentration of Na+ inside the cell is 20 mM. Assuming the membrane is permeable to Na+ only, the Na+ concentration outside the membrane will be ______________ mM. (Faraday constant: 23062 cal.V-1.mol-1, Gas constant: 1.98 cal.mol-1.K-1) BT 6/10

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2016 Q.35)** **1. Governing Concept & Domain**: This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (1 Mark, 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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