Calculate the molality of a solution having freezing point depression $3.6 \mathrm{~K}$ and freezing point…

Calculate the molality of a solution having freezing point depression $3.6 \mathrm{~K}$ and freezing point depression constant $4.8 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$.
  1. $0.3 \mathrm{~mol} \mathrm{~kg}^{-1}$
  2. $0.9 \mathrm{~mol} \mathrm{~kg}^{-1}$
  3. $0.75 \mathrm{~mol} \mathrm{~kg}^{-1}$
  4. $0.5 \mathrm{~mol} \mathrm{~kg}^{-1}$

Solution

We know $\begin{aligned} & \Delta \mathrm{T}_{\mathrm{f}}=\mathrm{k}_{\mathrm{f}} \mathrm{m} \\ & 3.6=\mathrm{m} \times 4.8 \\ & \mathrm{~m}=0.75 \mathrm{~mol} / \mathrm{kg}\end{aligned}$

Asked in: MHT CET 2022 (06 Aug Shift 2)

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