GATE BT 2013 • Q22 NAT • 1 Mark

Section 4: Bioprocess Engineering & Process Biotechnology

Bioprocess Engineering

Subtopic: Bioreactor Design, Kinetics & Downstream Processing

Question Statement:

A chemostat is operated at a dilution rate of 0.6 h -1. At steady state, the biomass concentration in the exit stream was found to be 30 g l -1. The biomass productivity (g l -1h-1) after 3h of steady state operation will be ___________

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2013 Q.22)** **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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