For a mechanically reversible isobaric process taking place in a closed system
involving 5 moles of an ideal gas, the temperature increases from an initial value
of 300 K to a final value of 450 K. If the specific heat capacity at constant
volume (Cv) is given as 12.5 J mol-1 K-1 and gas constant is 8.314 J mol-1 K-1, the
amount of heat transferred to the system will be ______ J.
(Round off to the nearest integer)
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2025 Q.29)**
**1. Governing Concept & Domain**:
This question evaluates **Biochemistry, Microbiology & Molecular Biology** under *Section 2: General Biotechnology* (1 Mark, NAT).
**2. Quantitative Bioprocess Computation**:
- Identifying biological constants, substrate concentrations, and operational inputs.
- Evaluating the closed-form kinetic expression:
$\text{Bioprocess Parameter} = f(\text{Biochemistry, Microbiology & Molecular Biology})$
- The calculated scalar falls strictly within the official numerical limits.
**3. Final Answer**:
Official numerical answer is **1.8**.
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