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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

Text Solution

Verified by Experts

The correct Answer is:
C

At 1 atm , the vapour pressure of water , `p^(@) = 760 torr`
` w_(B) = 18 g , M_(B) = 180 g mol^(-1) , w_(A) = 178.2 = 2711 g, p_(A) = ?`
`therefore " "(p_(A)^(@) - p_(A))/(p_(A)^(@)) = (w_(B)M_(A))/(w_(A)M_(B))`
or `(760 -p_(A))/(760) = (18 xx 18)/(178.2 xx 180)`
or ` (760 - p_(A))/(760) = 0.0101`
or `p_(A) = 752.3 torr`
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