What is the freezing point of 1 molal aqueous solution of a non-volatile solute?…

What is the freezing point of 1 molal aqueous solution of a non-volatile solute? $\left(\mathrm{K}_{\mathrm{f}}=1.86 \mathrm{~K} \mathrm{~kg} \mathrm{~mol}^{-1}\right)\left(\mathrm{T}_{\mathrm{f}}^{\circ} \text { for water }=0^{\circ} \mathrm{C}\right)$
  1. $-0.93^{\circ} \mathrm{C}$
  2. $-2.43^{\circ} \mathrm{C}$
  3. $-3.72^{\circ} \mathrm{C}$
  4. $-1.86^{\circ} \mathrm{C}$

Solution

$\begin{aligned} & \Delta \mathrm{T}_{\mathrm{f}}=\mathrm{T}_{\mathrm{f}}^{\circ}-\mathrm{T}_{\mathrm{f}}=\mathrm{k}_{\mathrm{f}} \cdot \mathrm{m} \\ & 0^{\circ} \mathrm{C}-\mathrm{T}_{\mathrm{f}}=1.86 \times 1 \\ & \mathrm{~T}_{\mathrm{f}}=-1.86^{\circ} \mathrm{C}\end{aligned}$

Asked in: MHT CET 2021 (23 Sep Shift 2)

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