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Relative decrease in vapour pressure in ...

Relative decrease in vapour pressure in vapour pressure of an aqueous solution NaCI is 0.1067, Number of moles of NaCI present in 180 g `H_(2)O` is:

A

2 mol

B

1 mol

C

3 mol

D

4 mol

Text Solution

Verified by Experts

The correct Answer is:
B

`(Deltap)/(p) = x_(B)`
`x_(B) = 0.167`
No of moles of water `= (180)/(18) = 10` mol
Let no of moles of `NaCI = n`
Van't Hoff factor i for `NaCI = 2`
`:. x_(B) = (2n)/(2n+10)`
`(2n)/(2n+10) = 0.167`
`(n)/(n+5) = 0.167`
`n = 0.167 n + 0.845`
`0.833 n = 0.835`
`n = (0.835)/(0.833) ~~ 1`
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