Q.
Equimolal solutions of KCI and compound X in water show depression in freezing point in the ratio of 4:1 . Assuming KCI to be completely ionized, the compound X in solution must
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a
Dissociate to the extent of 50%
b
Hydrolyze to the extent of 80%
c
Dimerize to the extent of 50%
d
Trimerize to the extent of 75%
answer is D.
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Detailed Solution
KCI and X (p moles) (p moles) ∆Tf(KCI)=iKfm=2Kfm ∆Tf(X)=iKf.m=14(2Kfm)⇒i=12<1 2X ⇌ X2 1 0 1-α α/2 i=1-α+α2=1-α2=12⇒α=100% 3X ⇌ X3 1 0 1-α α/3 i=1-α+α3=1-2α3=12⇒α=34=75%
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