Consider the following liquid-vapour equilibrium.
`"Liquid" hArr "Vapour"`
Which of the following relations is correct?

Options

A. `("dInP")/(dT)=(-DeltaH_(v))/(RT)`
B. `("dInP")/(dT^(2))=(-DeltaH_(v))/(T^(2))`
C. `("dInP")/(dT)=(-DeltaH_(v))/(RT^(2))`
D. `("dInG")/(dT^(2))=-(DeltaH_(v))/(RT^(2))`

Answer

C

Explanation

The given phase equilibria is Liquid `hArr` Vapour This equilibrium states that, when liquid is heated, it converts into vapour , which is derived by Clausius Clapeyron and the relationship is written as,
`(d"In" p)/(dT)=-(DeltaH_(v))/(RT^(2))`
Where, `DeltaH_(v)` =Heat of vaporisation