Calculate van't Hoff factor of 0.2 m aquesous solution of an electrolyte if it freezes at -0.7 K…

Calculate van't Hoff factor of 0.2 m aquesous solution of an electrolyte if it freezes at -0.7 K $\left[\mathrm{K}_{\mathrm{f}}=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right]$
  1. 1.304
  2. 1.123
  3. 1.432
  4. 1.882

Solution

$\begin{array}{ll} & \Delta \mathrm{T}_{\mathrm{f}}=\mathrm{i} \mathrm{m} \mathrm{K}_{\mathrm{f}} \\ \therefore \quad & 0.7=\mathrm{i} \times 0.2 \mathrm{~mol} \mathrm{~kg}^{-1} \times 1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1} \\ \therefore \quad & \mathrm{i}=\frac{0.7}{0.2 \times 1.86}=\frac{0.7}{0.372}=1.882\end{array}$

Asked in: MHT CET 2024 (02 May Shift 2)

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