Liquid ideal solution liquid | LIQUID SOLUTION JEE MAIN 2025

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JEE MAIN 2025

07.04.25 S2

Question

Liquid and form an ideal solution. The vapour pressures of pure liquids and are 350 and 750 mm Hg respectively at the same temperature. If and are the mole fraction of and in solution while and are the mole fraction of and in vapour phase then,

Select the correct option:

A

$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}<\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$

B

$\left(x_{\mathrm{A}}-y_{\mathrm{A}}\right)<\left(x_{\mathrm{B}}-y_{\mathrm{B}}\right)$

C

$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}>\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$

D

$\frac{x_{\mathrm{A}}}{x_{\mathrm{B}}}=\frac{y_{\mathrm{A}}}{y_{\mathrm{B}}}$

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Sol. $$ \begin{aligned} & \mathrm{P}_{\mathrm{A}}^o<\mathrm{P}_{\mathrm{B}}^o \\ & \frac{\mathrm{P}_{\mathrm{A}}^o}{\mathrm{P}_{\mathrm{B}}^o}<1 \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}=\frac{\mathrm{P}_{\mathrm{A}}^o}{\mathrm{P}_{\mathrm{B}}^o} \frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}<1 \\ & \frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \\ & \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}<\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \end{aligned} $$

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