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Q.

Consider the following liquid - vapour equilibrium. Liquid $⇌$ Vapour Which of the following relations is correct?

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a

$\frac{dℓnP}{dT} = \frac{- {ΔH}_{v}}{{RT}^{2}}$

b

$\frac{dℓnP}{{dT}^{2}} = \frac{- {ΔH}_{v}}{T^{2}}$

c

$\frac{d ℓ n G}{d T^{2}} = \frac{Δ H_{v}}{R T^{2}}$

d

$\frac{dℓnP}{dT} = \frac{{ΔH}_{V}}{RT}$

answer is D.

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Detailed Solution

Clausius — Clapeyron's equation
$\frac{dlnP}{dT} = \frac{- {ΔH}_{v}}{{RT}^{2}}$

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