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 = 0.52Kkgmol−1
Boiling point of water = 100 ºC]
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Solution
molality, m=2;Tb of solution =100.52oC
ΔTb=0.52
ΔTb=i×Kb×m
0.52=i×0.52×2 i=0.5
Degree of association (β) : β=(i−1)×n(1−n)
Since solute A dimerises, n=2 β=(0.5−1)×2(1−2) β=1
Percentage of degree of association is 100%