Boiling point of chloroform is 61∘C. After addition of 5.0 g of a non-volatile solute to 20 g chloroform boils at 64.63∘C. If Kb=3.63K kg mol−1, 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 = 61∘C
New b.p. after addition = 64.63∘C
Mass of solute, w2=5.0g
Mass of solvent, w1=20g Kb=3.63Kkgmol−1
From these, ΔTb=64.63−61=3.63∘C
Using ΔTb=(Kb×1000×w2)(M2×w1) M2=(Kb×1000×w2)(ΔTb×w1) M2=(3.63×1000×5)(3.63×20)=250g/mol.