For a solution of two liquids $A$ and $B$ it was proved that…

For a solution of two liquids $A$ and $B$ it was proved that
$\mathrm{P}_{\mathrm{S}}=\mathrm{x}_{\mathrm{A}}\left(\mathrm{p}_{\mathrm{A}}^{\circ}-\mathrm{p}^{\circ} \mathrm{B}ight)+\mathrm{p}_{\mathrm{B}}^{\circ} .$ The resulting solution will be
  1. Non -ideal
  2. ideal
  3. semi-ideal
  4. None of these

Solution

$\mathrm{p}_{\mathrm{s}}=\mathrm{x}_{\mathrm{A}}\left(\mathrm{p}_{\mathrm{A}}^{\circ}-\mathrm{p}_{\mathrm{B}}^{\circ}ight)+\mathrm{p}_{\mathrm{B}}^{\circ}$
$\mathrm{p}_{\mathrm{s}}=\mathrm{p}_{\mathrm{A}}^{\mathrm{o}} \times \mathrm{x}_{\mathrm{A}}-\mathrm{p}_{\mathrm{B}}^{\mathrm{o}} \times \mathrm{x}_{\mathrm{A}}+\mathrm{p}_{\mathrm{B}}^{\mathrm{o}}$
$\mathrm{p}_{\mathrm{s}}=\mathrm{p}_{\mathrm{A}}^{\mathrm{o}} \times \mathrm{x}_{\mathrm{A}}-\mathrm{p}_{\mathrm{B}}^{\mathrm{o}}\left(1-\mathrm{x}_{\mathrm{B}}ight)+\mathrm{p}_{\mathrm{B}}^{\mathrm{o}}$
$\therefore \mathrm{p}_{\mathrm{s}}=\mathrm{p}_{\mathrm{A}}^{\mathrm{o}} \times \mathrm{x}_{\mathrm{A}}+\mathrm{p}_{\mathrm{B}}^{\mathrm{o}} \times \mathrm{x}_{\mathrm{B}}$
This is condition for ideal solution

Asked in: JEE-TOPICTESTS-CHEMISTRY

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