Prove that relative lowering of vapour pressure is a colligative property?

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We know
PÅ- Psol/ PÅ = XB

PÅ- Psol/ PÅ = nB/ nA+ nB

For very dilute solution- nB So nA + nB ~ nA

Therefore pÅ - Psol/ pÅ = nB / nA
If nA is constant then
På - psol / PÅ is directly proportional to nB

Hence it is a colligative property.
PÅ refers to vapour pressure of pure solvent
Psol refers to vapour pressure of solution

Let me know if you have any doubts
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