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JEE Main 20252 AprilMorning Shift
Exam
JEE Main
Year
2025
Date
2 April
Shift
Morning Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2025 · 2 April · Morning Shift · Chemistry · Solutions

A solution is made by mixing one mole of volatile liquid A with 3...

A solution is made by mixing one mole of volatile liquid AA with 3 moles of volatile liquid BB. The vapour pressure of pure A is 200 mm Hg and that of the solution is 500 mm Hg. The vapour pressure of pure BB and the least volatile component of the solution, respectively, are :

Options

  1. A(1400 \mathrm{~mm} \mathrm{Hg}, \mathrm{A})
  2. B(1400 \mathrm{~mm} \mathrm{Hg}, \mathrm{B})
  3. C(600 \mathrm{~mm} \mathrm{Hg}, \mathrm{B})
  4. D(600 \mathrm{~mm} \mathrm{Hg}, \mathrm{A})

Correct answer

D. (600 \mathrm{~mm} \mathrm{Hg}, \mathrm{A})

Step-by-step solution

<br/>PS=PAo⋅XA+PBo⋅XB<br>500=200×14+PBo⋅34<br>PBo=600 mmHg<br/>\begin{aligned}<br />& \mathrm{P}_{\mathrm{S}}=\mathrm{P}_{\mathrm{A}}^{\mathrm{o}} \cdot \mathrm{X}_{\mathrm{A}}+\mathrm{P}_{\mathrm{B}}^{\mathrm{o}} \cdot \mathrm{X}_{\mathrm{B}} \\<br>& 500=200 \times \frac{1}{4}+\mathrm{P}_{\mathrm{B}}^{\mathrm{o}} \cdot \frac{3}{4} \\<br>& \mathrm{P}_{\mathrm{B}}^{\mathrm{o}}=600 \mathrm{~mm} \mathrm{Hg}<br />\end{aligned})
As (\mathrm{P}_{\mathrm{A}}^{\mathrm{o}} \lt \mathrm{P}_{\mathrm{B}}^{\mathrm{o}} \Rightarrow \mathrm{A}) is least volatile.$
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