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Question

Boiling point of a solvent is 80.2 oC. When 0.419g of the solute of molar mass 252.4g mol1 was dissolved in 75g of the solvent, the boiling point of the solution was found to be 80.256oC. Find the molal elevation constant.

A
1.25 Kkgmol1
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B
2.53 Kkgmol1
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C
2.87 Kkgmole1
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D
None of these
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Solution

The correct option is B 2.53 Kkgmol1
Boiling point is the temperature when the vapour pressure of liquid equals the atmospheric pressure.
ΔTb= Boiling point of solution - Boiling point of solvent -------(1)
ΔTb=Kb×m
where,
Kb is Ebullioscopic constant/ molal elevation constant
Tb(sol)Tob=Kb×m
80.25680.2=Kb×massofsolute×1000Molarmassofsolute×Massofsolvent(ingm)
0.056=Kb×0.419×1000252.4×75

Kb=2.53Kkgmol1

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