Equilibrium Ques 17

17. Consider the following liquid - vapour equilibrium.

Liquid $\rightleftharpoons$ Vapour

Which of the following relations is correct ?

[2016]

(a) $\frac{d \ell nG}{dT^{2}}=\frac{\Delta H_v}{RT^{2}}$

(b) $\frac{d \ell nP}{dT}=\frac{\Delta H_v}{RT}$

(c) $\frac{d \ell nP}{dT^{2}}=\frac{-\Delta H_v}{T^{2}}$

(d) $\frac{d \ell nP}{dT}=\frac{-\Delta H_v}{RT^{2}}$

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Answer:

Correct Answer: 17.(d)

Solution:

  1. (d) Clausius-Clapeyron’s equation

$\frac{d \ln P}{dT}=\frac{\Delta H_v}{RT^{2}}$