At a particular temperature, the vapour pressures of two liquids $\mathrm{A}$ and $\mathrm{B}$ are…

At a particular temperature, the vapour pressures of two liquids $\mathrm{A}$ and $\mathrm{B}$ are respectively 120 and $180 \mathrm{~mm}$ of mercury. If 2 moles of $\mathrm{A}$ and 3 moles of $\mathrm{B}$ are mixed to form an ideal solution, the vapour pressure of the solution at the same temperature will be (in mm of mercury)
  1. 156
  2. 145
  3. 150
  4. 108

Solution

Vapour pressure of solution $=\mathrm{P}_{\mathrm{A}}+\mathrm{P}_{\mathrm{B}}$
$=\mathrm{P}_{\mathrm{A}}^{\mathrm{o}} \mathrm{X}_{\mathrm{A}}+\mathrm{P}_{\mathrm{B}}^{\mathrm{O}} \mathrm{X}_{\mathrm{B}}=\frac{120 \times 2}{5}+\frac{180 \times 3}{5}$
$=156 \mathrm{~mm} \mathrm{Hg}$

Asked in: JEE-TOPICTESTS-CHEMISTRY

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