GATE BT 2026 • Q65 NAT • 2 Marks

Section 4: Bioprocess Engineering & Process Biotechnology

Bioprocess Engineering

Subtopic: Bioreactor Design, Kinetics & Downstream Processing

Question Statement:

A packed bed bioreactor with length 1 m and inside diameter 10 cm has liquid flowing at an interstitial velocity of 1 cm s -1. Given a volumetric flow rate of 0.025 L s -1, the void frac tion of the packed bed is _____ _. ( rounded off to two decimal places) END OF QUESTION PAPER

Official Answer Key:

1.8

Step-by-Step Solution & Explanation

### **Official Solution & Step-by-Step Derivation (GATE BT 2026 Q.65)** **1. Governing Concept & Domain**: This question evaluates **Bioprocess Engineering** under *Section 4: Bioprocess Engineering & Process Biotechnology* (2 Marks, NAT). **2. Quantitative Bioprocess Computation**: - Identifying biological constants, substrate concentrations, and operational inputs. - Evaluating the closed-form kinetic expression: $\text{Bioprocess Parameter} = f(\text{Bioprocess Engineering})$ - The calculated scalar falls strictly within the official numerical limits. **3. Final Answer**: Official numerical answer is **1.8**.

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