Which of the following $0.10 \mathrm{~m}$ aqueous solutions will have the lowest freezing point?

Which of the following $0.10 \mathrm{~m}$ aqueous solutions will have the lowest freezing point?
  1. $\mathrm{Al}_{2}\left(\mathrm{SO}_{4}ight)_{3}$
  2. $\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$
  3. $\mathrm{KCl}$
  4. $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$

Solution

Depression in F.P. $\propto$ No. of particles.
$\mathrm{Al}_{2}\left(\mathrm{SO}_{4}ight)_{3}$ provides five ions on ionisation
$\mathrm{Al}_{2}\left(\mathrm{SO}_{4}ight)_{3} \longrightarrow 2 \mathrm{Al}^{3+}+3 \mathrm{SO}_{4}^{2-}$
while KCl provides two ions
$\mathrm{KCl} ightleftharpoons \mathrm{K}^{+}+\mathrm{Cl}^{-}$
$\mathrm{C}_{6} \mathrm{H}_{12} \mathrm{O}_{6}$ and $\mathrm{C}_{12} \mathrm{H}_{22} \mathrm{O}_{11}$ are not ionised so they have
single particle. Hence, $\mathrm{Al}_{2}\left(\mathrm{SO}_{4}ight)_{3}$ have maximum value of depression in F.P or lowest F.P

Asked in: JEE-TOPICTESTS-CHEMISTRY

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