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The boiling point of an aqueous solution...

The boiling point of an aqueous solution of a non-volatile solute is `100.15^(@)C`. What is the freezing point of an aqueous solution obtained by dilute the above solution with an equal volume of water. The values of `K_(b)` and `K_(f)` for water are `0.512` and `1.86^(@)C mol^(-1)`:

A

`-0.544^(@C)`

B

`-0.52^(@)C`

C

`-0.272^(@)C`

D

`-1.86^(@)C`

Text Solution

Verified by Experts

For the same solution
`(DeltaT_(f))/(DeltaT_(b))=(K_(f))/(K_(b))impliesDeltaT_(f)=(K_(f))/(K_(b))xxDeltaT_(b)" ":. DeltaT_(f)=(0.15xx1.86)/0.512=0.545`
On diluting the solution to double
`DeltaT_(f) prop 1/("Weight of solvent")`
`DeltaT_(f)=0.545/2=0.272" ":.` Freezing point `=-0.272`
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