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Calculate the boiling point of urea solution when 8.0g of urea is dissolved in 250g of water. Boiling point of pure water is 373K. (kb of water = 0.52 K kg mol-1, molecular mass of urea = 60 g mol-1)

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Question

Calculate the boiling point of urea solution when 8.0g of urea is dissolved in 250g of water. Boiling point of pure water is 373K.

(kb of water = 0.52 K kg mol-1, molecular mass of urea = 60 g mol-1)

Numerical
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Solution

To calculate the boiling point of a urea solution, the boiling point elevation formula:

ΔTb = i × kb × m

where,

ΔTb = 0.277 K (boiling point elevation)

i = Van't Hoff factor

Kb = 0.52 K·kg/mol

m = molality of the solution.

As we know, 

`"T"_"solution" = "T"_"pure solvent" + Δ"T"_"b"`

`"T"_"solution"` = 373 K + 0.277 K

`"T"_"solution"` = 373.277 K

∴ boiling point of the urea solution is 373.277 K

shaalaa.com
Relative Molecular Mass - Elevation in Boiling Point Method
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2024-2025 (March) Specimen Paper
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