A fermentor is filled with medium at a rate of 1 L min-1. A leak develops at
the bottom of the fermentor when the medium in the fermentor reaches 200 L.
The rate of medium leakage is 2t L min-1, where 't' is the time at which the
leak begins.
The volume of medium in the fermentor after 10 min of leakage is ________ L
(Answer in integer).
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2024 Q.59)**
**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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