Prove that the relative lowering of vapour pressure is equal to t

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99. Prove that the relative lowering of vapour pressure is equal to the mole fraction of non-volatile solute in the solution.


If the non volatile solute is present in the solution, the vapour pressure of the solution depends only upon the solvent. If the vapour pressure of the solution is P and the partial vapour pressure of solvent is PA then P = PA
(Because solute has no partial vapour pressure due to non-volatile nature)
or          straight P space equals space straight P to the power of 0 subscript straight A. space straight x space space space space space space space space space space space space space space space space space space left parenthesis therefore space space straight P subscript straight A space equals space straight P to the power of 0 subscript straight A. space straight x subscript straight A right parenthesis
where P0A is the vapour pressure of pure solvent and xA and xB are the mole fractions of solvent and solute respectively.

If the non volatile solute is present in the solution, the vapour pre

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