Calculate the molality of solution if its depression in freezing point is 0.18 K .…

Calculate the molality of solution if its depression in freezing point is 0.18 K . $\left[\mathrm{K}_{\mathrm{f}}=1.6 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right]$
  1. 0.195 m
  2. 0.156 m
  3. 0.174 m
  4. 0.113 m

Solution

$\begin{aligned} & \Delta \mathrm{T}_{\mathrm{f}}=\mathrm{K}_{\mathrm{f}} \times \mathrm{m} \\ \therefore \quad & \mathrm{m}=\frac{\Delta \mathrm{T}_{\mathrm{f}}}{\mathrm{K}_{\mathrm{f}}}=\frac{0.18 \mathrm{~K}}{1.6 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}}=0.113 \mathrm{~m}\end{aligned}$

Asked in: MHT CET 2024 (16 May Shift 2)

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