GATE BT 2012 • Q29 NAT • 1 Mark

Section 4: Bioprocess Engineering & Process Biotechnology

Bioprocess Engineering

Subtopic: Bioreactor Design, Kinetics & Downstream Processing

Question Statement:

In an exponentially growing batc h culture of Saccharomyces cerevisiae, the cell density is 20 gl -1 (DCW), the specific growth rate ( ) is 0.4 h -1 and substrate uptake rate ( ) is 16 gl -1h-1. The cell yield coefficient Yx/s will be (A) 0.32 (B) 0.64 (C) 0.80 (D) 0.50

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2012 Q.29)** **1. Governing Concept & Domain**: This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (1 Mark, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Bioprocess Engineering})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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