The depression in freezing point of $0.1 \mathrm{M}$ aqueous solutions of $\mathrm{HCl}, \mathrm{CuSO}_4$…

The depression in freezing point of $0.1 \mathrm{M}$ aqueous solutions of $\mathrm{HCl}, \mathrm{CuSO}_4$ and $\mathrm{K}_2 \mathrm{SO}_4$ are in the ratio
  1. $1: 1: 1.5$
  2. $1: 2: 3$
  3. $1: 1: 1$
  4. $2: 4: 3$

Solution

$\Delta T_f=i K_f m$ Thus, $\Delta T_f \propto i$ (as concentration is same for all solutions) $i$ for $\mathrm{HCl}=2, i$ for $\mathrm{CuSO}_4=2, i$ for $\mathrm{K}_2 \mathrm{SO}_4=3$ Thus, ratio of depression in freezing point $=2: 2: 3=1: 1: 1.5$

Asked in: NEET 2023 (Manipur)

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