PYQ NEET- Chemical Equilibrium-1 L-6

Question: Consider the following liquid-vapour equilibrium.#

Liquid $\rightleftharpoons$ Vapour

Which of the following relations is correct?

A) $\frac{d \ln P}{d T^2}=\frac{-\Delta H_v}{T^2}$

B) $\frac{d \ln P}{d T}=\frac{\Delta H_v}{R T^2}$

C) $\frac{d \ln G}{d T^2}=\frac{\Delta H_v}{R T^2}$

D) $\frac{d \ln P}{d T}=\frac{-\Delta H_v}{R T}$

Answer: $\frac{d \ln P}{d T}=\frac{\Delta H_v}{R T^2}$#

Solution:#

This is Clausius-Clapeyron equation.

$\frac{d \ln P}{d T}=\frac{\Delta H_v}{R T^2}$