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An aqueous solution contains 5% by weigh...

An aqueous solution contains 5% by weight of urea and 10% by weight of glucose. What will be its freezing point ? (`K_(f)` for water `=1.86^(@)" mol"^(-)`kg)

Text Solution

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Percentage by weight
`=("Weight of solute")/("Weight of solution")xx100`
`:.` Weight of urea in 100 g solution=5g
Weight of glucose in 100 g solution = 10 g
Total weight of solutes in 100 g solution `= 5 + 10 = 15` g
Weight of water in 100 g solution `= 100- 15 = 85` g
`DeltaT_(f)=DeltaT_(f)"(urea)" +DeltaT_(f)`(glucose)
`DeltaT_(f)"(urea)"=K_(f) xx m=(1.86xx5xx1000)/(60xx85)=1.824^(@)C`
`DeltaT_(f)("glucose")=K_(f) xx m=(1.86 xx 10xx1000)/(180xx85)=1.216^(@)C`
`DeltaT_(f)=1.824 +1.216 =3.04^(@)C`
`:.` Freezing point `=-3.04^(@)C`
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