Of the folowing $0.10 m$ aqueous solutions, which one will exhibit the largest freezing point depression?
(Considering comple dissociation wherever applicable)

K C l

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C_{6} H_{12} O_{6}

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A l_{2} (S O_{4})_{3}

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K_{2} S O_{4}

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Solution

The correct option is C $A l_{2} (S O_{4})_{3}$
We know that, depression of freezing point
$Δ T_{f} = i \times K_{f} \times m S o, Δ T_{f} \propto i$
$i = van't Hoff factor$

salt i

$K C l$ $2$

$C_{6} H_{12} O_{6}$ $1$

$A l_{2} (S O_{4})_{3}$ $5$

$K_{2} S O_{4}$ $3$

Hence, $i$ is maximum i.e. $5$ for $A l_{2} (S O_{4})_{3}$
Hence depression in freezing will be highest for $A l_{2} (S O_{4})_{3}$ , as molality is constant for all the solutions given.

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