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The vapour pressure of water at 20^(@)C ...

The vapour pressure of water at `20^(@)C` is 17.5 mm Hg. If 18 g of glucose `(C_(6)H_(12)O_(6))` is added 178.2 g of water at `20^(@)C`, the vapour pressure of the resulting solution will be :

A

17.325 mm Hg

B

17.675 mm Hg

C

15.750 mm Hg

D

16.500 mm Hg

Text Solution

Verified by Experts

The correct Answer is:
a
According to Raoult's Law.
`P_(A)=P_(A)^(@)X_(A)`
`X_(A)=n_(A)/(n_(A)+n_(B))=((178.2)/18)/((188.2)/18+18/180)`
`=(9.9)/(9.94)=0.99`
`P_(A)=(17.5mm)xx0.99=17.32 mm`
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