What is vapour pressure of a solution containing $1 \mathrm{~mol}$ of a non-volatile solute in $36…

What is vapour pressure of a solution containing $1 \mathrm{~mol}$ of a non-volatile solute in $36 \mathrm{~g}$ of water? $\left(\mathrm{P}_1^0=400 \mathrm{~mm} \mathrm{Hg}\right)$
  1. $334 \mathrm{~mm} \mathrm{Hg}$
  2. $267 \mathrm{~mm} \mathrm{Hg}$
  3. $240 \mathrm{~mm} \mathrm{Hg}$
  4. $284 \mathrm{~mm} \mathrm{Hg}$

Solution

$\begin{aligned} & \frac{\mathrm{P}^{\circ}-\mathrm{P}_{\mathrm{S}}}{\mathrm{P}^{\circ}}=\mathrm{X}_{\text {solute }}=\frac{\mathrm{N}_{\text {solute }}}{\mathrm{N}_{\text {solute }}+\mathrm{N}_{\text {water }}} \\ & \mathrm{N}_{\text {water }}=\frac{36}{18}=2 \\ & \frac{400-\mathrm{P}_{\mathrm{s}}}{400}=\frac{1}{1+2} \\ & \left(400-\mathrm{P}_{\mathrm{s}}\right) \times 3=400\end{aligned}$

Asked in: MHT CET 2021 (24 Sep Shift 1)

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