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Question

A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52 ºC. The percentage association of A is________.(Round off to the nearest integer.)

[Use : Kb for water = 0.52 K kg mol1
Boiling point of water = 100 ºC]

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Solution

molality, m=2;Tb of solution =100.52 oC

ΔTb=0.52

ΔTb=i×Kb×m

0.52=i×0.52×2
i=0.5

Degree of association (β) :
β=(i1)×n(1n)
Since solute A dimerises, n=2
β=(0.51)×2(12)
β=1
Percentage of degree of association is 100%

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