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Question

Which one of the following 0.06 M aqueous solution has lowest freezing point?

A
C6H12O6
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B
K2SO4
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C
Al2(SO4)3
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D
KI
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Solution

The correct option is C Al2(SO4)3
ΔTf=iKfm
m is molality
ΔTf=T0fTf
i is van't Hoff factor
T0f is the freezing point of pure solvent
Tf is the freezing point of solution
Here
ΔTfi (for equimolar solutions)
For minimum Tf, the value of i should be the highest
KIH2OK+(aq)+I(aq)

Al2(SO4)3H2O2Al3+(aq)+3SO24(aq)

For organic solvents like C6H12O6;i=1

K2(SO4)H2O2K+(aq)+SO24(aq)
Summarising:
Solute i
KI 2
Al2(SO4)3 5
C6H12O6 1
K2SO4 3







Al2(SO4)3 has the highest value of i and hence has lowest freezing point

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