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A solution of a non-volatile solute in w...

A solution of a non-volatile solute in water freezes at `-0.30^(@)C`. The vapour pressure of pure water at `298 K` is `23.51 mm Hg` and `K_(f)` for water is `1.86 degree//molal`. Calculate the vapour pressure of this solution at `298 K`.

Text Solution

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`DeltaT_(t)=K_(t)xx`molality
`rArr 0.3=1.86xx` Molality
`:.` Molality `=0.161`
Molality `=(X_(A)xx1000)/((1-X_(A))xxm_(2))` (mol wt of solvent. `=m_(2))`
`:.0.16=(X_(A)xx1000)/((1-X_(A))xx18)`
`:.X_(A)=0.00289`
`(P^(@)-P_(s))/(P^(@))=X_(A)`
`rArr (23.51-P_(s))/(23.51)=0.00289`
`:.P_(s)=23.442 mm`
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