A heat exchanger during operation in a bioprocess has a steady temperature of
90 oC. After completion of its operation, it was shut down and it was observed that
the rate of decrease of temperature at any time was directly proportional to the
difference T(t) - 30 oC, where T(t) denotes temperature at time t. It was observed
that it took 30 min for the temperature to drop to 70 oC. The temperature after
51.5 min will be_________ oC. (rounded off to the nearest integer)
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2026 Q.54)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (2 Marks, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
Practice This in Real CBT Exam Interface
Test yourself with the official TCS-iON palette, virtual calculator, and immediate performance analytics.