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Derive the relationship between the relative lowering of vapour pressure and mole fraction of the solute.

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Psolution ∝ xA by Raoult’s law. where xA is the mole fraction of the solvent. 

Psolution = k . xA 

When 

xA = 1 

k = P0Solvent

P0Solvent = partial pressure of pure solvent 

Psolution = P0solvent . xA

where 

xB = mole fraction of the solute 

xA + xB = 1 

xB = 1 – xA

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