GATE BT 2022 • Q34 NAT • 1 Mark

Section 2: General Biotechnology

Biochemistry, Microbiology & Molecular Biology

Subtopic: Enzyme Kinetics, Cell Biology & Metabolism

Question Statement:

A fermentation broth of density 1000 kg m-3 and viscosity 10-3 kg m-1 s-1 is mixed in a 100 L fermenter using a 0.1 m diameter impeller, rotating at a speed of 2 s-1. The impeller Reynolds number is ____________. .35 For a pure species, the slope of the melting line ௗ௉ ௗ் at -2 ˚C is -5.0665×106 Pa K-1. The difference between the molar volumes of the liquid and solid phase at -2 ˚C is -4.5×10-6 m3 mol-1. The value of the latent heat of fusion (rounded off to nearest integer) is __________ J mol-1. .36 - Q.65 Carry TWO marks each.

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2022 Q.34)** **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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