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An X molal solution of a compound in ben...

An X molal solution of a compound in benzene has mol e fraction of solute ` =0.2. ` The value of X is

A

14

B

3.2

C

1.4

D

2

Text Solution

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The correct Answer is:
b
Molality and mole fractions of solute `(x_(A))` are related as
`x_(A) = (m.M_(B))/(1000+m.M_(B)) rArr 0.2 = (mxx78)/(1000+mxx78)`
`200 + 15.6 m = 78 m`
or 62.4 m = 200
m = 3.2
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