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If the boiling point of an aqueous solut...

If the boiling point of an aqueous solution containing a non-volatile solute is `100.15^(@)C`. What is its freezing point? Given latent heat of fusion and vapourization of water `80 cal g^(-1)` and `540 cal g^(-1)`, respectively.

Text Solution

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`DeltaT_(b)=K_(b)xx m`
`DeltaT_(f)=K_(f)xx m`
` (DeltaT_(b))/(DeltaT_(f))=K_(b)/K_(f)=(RT_(b)^2)/(1000l_(v))xx(1000l_(f))/(RT_(f)^2)`
`(DeltaT_(b))/(DeltaT_(f))=(T_(b)^(2)xxl_(f))/(T_(f)^(2)xxl_(v))`
`T_(b)=100 + 273 =373 K`
`T_(f)=273 K`
`DeltaT_(b)=100.1-100`
`=0.1^(@)C`
`0.1/(DeltaT_(f))=((373)^(2)xx80)/((273)^(2)xx540)`
`DeltaT_(f)=0.36^(@)C`
`T_(f)=-0.36^(@)C`.
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