What is vapour pressure of a solution when $2 \mathrm{~mol}$ of a non-volatile solute are dissolved in $20…

What is vapour pressure of a solution when $2 \mathrm{~mol}$ of a non-volatile solute are dissolved in $20 \mathrm{~mol}$ of water? $\left(\mathrm{P}_1^{\circ}=32 \mathrm{~mm} \mathrm{Hg}\right)$
  1. $29.1 \mathrm{~mm} \mathrm{Hg}$
  2. $12 \mathrm{~mm} \mathrm{Hg}$
  3. $6 \mathrm{~mm} \mathrm{Hg}$
  4. $9 \mathrm{~mm} \mathrm{Hg}$

Solution

$\begin{aligned} & \frac{\mathrm{P}^{\circ}-\mathrm{P}_{\mathrm{s}}}{\mathrm{P}^{\circ}}=\mathrm{X}_{\text {solute }}=\frac{\mathrm{n}_{\text {solute }}}{\mathrm{n}_{\text {solute }}+\mathrm{n}_{\text {solvent }}} \\ & \frac{32-\mathrm{P}_{\mathrm{s}}}{32}=\frac{2}{2+20} \\ & 32-\mathrm{P}_{\mathrm{s}}=\frac{2}{22} \times 32=2.90 \\ & \mathrm{P}_{\mathrm{s}}=32-2.90 \\ & =29.1 \mathrm{~mm} \mathrm{Hg}\end{aligned}$

Asked in: MHT CET 2021 (21 Sep Shift 2)

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