A binary mixture of benzene and toluene under vapour-liquid equilibrium at
80 C follows ideal Raoult's law. At this condition, the saturation pressures of
benzene and toluene are 101 kPa and 40 kPa, respectively. If the mole fraction
of benzene in the liquid phase is 0.6, the corresponding mole fraction of benzene
in the vapour phase will be _______.
(Round off to two decimal places)
Official Answer Key:
1.8
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE BT 2025 Q.57)**
**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**.
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