Calculate the molality of solution of non volatile solute having depression in freezing point 0.93 K and…

Calculate the molality of solution of non volatile solute having depression in freezing point 0.93 K and cryoscopic constant of solvent $1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}$.
  1. $0.3 \mathrm{~mol} \mathrm{~kg}^{-1}$
  2. $0.4 \mathrm{~mol} \mathrm{~kg}^{-1}$
  3. $0.5 \mathrm{~mol} \mathrm{~kg}^{-1}$
  4. $0.6 \mathrm{~mol} \mathrm{~kg}^{-1}$

Solution

$\begin{aligned} \Delta \mathrm{T}_{\mathrm{f}} & =\mathrm{K}_{\mathrm{f}} \mathrm{m} \\ \mathrm{m} & =\frac{\Delta \mathrm{T}_{\mathrm{f}}}{\mathrm{K}_{\mathrm{f}}}=\frac{0.93 \mathrm{~K}}{1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}}=0.5 \mathrm{~mol} \mathrm{~kg}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (02 May Shift 1)

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