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18g glucose (C(6)H(12)O(6)) is added to ...

`18g` glucose `(C_(6)H_(12)O_(6))` is added to `178.2g` water. The vapour pressure of water (in torr) for this aqueous solution is:

A

7.6

B

76

C

752.4

D

`759.0`

Text Solution

Verified by Experts

The correct Answer is:
C

`"18 g glucose "(C_(6)H_(12)O_(6))=(18)/(180)" mole"="0.1 mole"`
`"178.2 g water "(H_(2)O)=(178.2)/(18)" mole"="9.9 moles"`
`therefore" Mole fraction of water in the solution"`
`=(9.9)/(0.1+9.9)=(9.9)/(10)=0.99`
Vapour pressure of water in aqueous solution
= Mole fraction of water in the solution `xx` Vapour pressure of pure water
`=0.99xx"760 torr = 725.4 torr"`
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