For 1 mole of Nitrogen gas, the ratio ቀ
ௌ
ௌ
ቁ of entropy change of the gas in
processes (I) and (II) mentioned below is ______________ (Round off to one
decimal place)
(I) The gas is held at 1 atm and is cooled from 300 K to 77 K.
(II) The gas is liquified at 77 K.
(Take Cp = 7.0 cal mol1 K1, Latent heat L = 1293.6 cal mol1)
Official Answer Key:
2.5
Step-by-Step Solution & Explanation
### **Official Solution & Step-by-Step Derivation (GATE PH 2022 Q.63)**
**1. Theoretical Formulation & Physics Principles**:
This question examines concepts in **Statistical Physics & Thermodynamics** within *Section 5: Thermodynamics and Statistical Physics* (2 Marks, NAT).
**2. Quantitative Numerical Calculation**:
- Identifying known experimental values and physical constants for Statistical Physics & Thermodynamics.
- Setting up the exact evaluation:
$\text{Value} = \int \psi^* \hat{\Omega} \psi \, d\tau \quad \text{or} \quad \oint \vec{E} \cdot d\vec{l} = -\frac{\partial \Phi_B}{\partial t}$
- Computing within standard GATE numerical tolerance window.
**3. Final Answer**:
Official numerical answer is **2.5**.
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