Calculate the molar mass of non volatile solute when 1 g of it is dissolved in 100 g solvent decreases its…

Calculate the molar mass of non volatile solute when 1 g of it is dissolved in 100 g solvent decreases its freezing point by 0.2 K . $\left[\mathrm{K}_{\mathrm{f}}=1.2 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right.$ ]
  1. $55 \mathrm{~g} \mathrm{~mol}^{-1}$
  2. $60 \mathrm{~g} \mathrm{~mol}^{-1}$
  3. $65 \mathrm{~g} \mathrm{~mol}^{-1}$
  4. $70 \mathrm{~g} \mathrm{~mol}^{-1}$

Solution

$\begin{aligned} \mathrm{M}_2 & =\frac{\mathrm{K}_{\mathrm{f}} \times \mathrm{W}_2 \times 1000}{\Delta \mathrm{~T}_{\mathrm{f}} \times \mathrm{W}_1}=\frac{1.2 \times 1 \times 1000}{0.2 \times 100} \\ & =60 \mathrm{~g} \mathrm{~mol}^{-1}\end{aligned}$

Asked in: MHT CET 2024 (04 May Shift 1)

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