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Question

Boiling point of chloroform is 61C. After addition of 5.0 g of a non-volatile solute to 20 g chloroform boils at 64.63C. If Kb=3.63 K kg mol1, what is the molecular weight of the solute?

A
320 g/mol
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B
100 g/mol
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C
400m g/mol
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D
250 g/mol
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Solution

The correct option is D 250 g/mol
Given,
b.p. of chloroform = 61C
New b.p. after addition = 64.63C
Mass of solute, w2=5.0g
Mass of solvent, w1=20g
Kb=3.63Kkgmol1
From these, ΔTb=64.6361=3.63C
Using ΔTb=(Kb×1000×w2)(M2×w1)
M2=(Kb×1000×w2)(ΔTb×w1)
M2=(3.63×1000×5)(3.63×20)=250 g/mol.

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