Question Bank MCQ • 2 Marks Section 5: Thermodynamics & Statistical Physics Phase transitions

QB_PH_127: Phase transitions

Question Statement

The slope of the coexistence curve in a $P$-$T$ diagram for a first-order phase transition is given by the Clausius-Clapeyron equation:
(A) \frac{dP}{dT} = \frac{L}{T(V_2 - V_1)}
(B) \frac{dP}{dT} = \frac{TL}{V_2 - V_1}
(C) \frac{dP}{dT} = \frac{V_2 - V_1}{LT}
(D) \frac{dP}{dT} = \frac{L}{T^2(V_2 - V_1)}
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: $\frac{dP}{dT} = \frac{\Delta S}{\Delta V} = \frac{L}{T \Delta V}$.
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