🛠️ JEE🧪 Chemistry

Liquid A and B form an ideal solution. The vapour pressure of pure liquids A and B are \(350\) and\(750\)mm Hg respectiv…

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Liquid A and B form an ideal solution. The vapour pressure of pure liquids A and B are \(350\) and\(750\)mm Hg respectively at the same temperature. If \({\mathrm{x}}_{\mathrm{A}}\) and \({x}_{B}\) are the mole fraction of A and B in solution while \({\mathrm{y}}_{\mathrm{A}}\) and \({y}_{B}\) are the mole fraction of A and B in vapour phase then

[JEE Main 2025, 7 Apr (Shift 2)]

a

\(\frac{{x}_{A}}{{x}_{B}}<\frac{{y}_{A}}{{y}_{B}}\)

b

\(\frac{{x}_{A}}{{x}_{B}}=\frac{{y}_{A}}{{y}_{B}}\)

c

\(\frac{{x}_{A}}{{x}_{B}}>\frac{{y}_{A}}{{y}_{B}}\)

d

\(\left({\mathrm{x}}_{\mathrm{A}}-{\mathrm{y}}_{\mathrm{A}}\right)<\left({\mathrm{x}}_{\mathrm{B}}-{\mathrm{y}}_{\mathrm{B}}\right)\)

✓ Correct answer: c)

\(\frac{{x}_{A}}{{x}_{B}}>\frac{{y}_{A}}{{y}_{B}}\)

Explanation

\({P}_{A}^{∘}<{P}_{B}^{∘}\Rightarrow \frac{{P}_{A}^{∘}}{{P}_{B}^{∘}}<1\)

\(\frac{{y}_{A}}{{y}_{B}}=\frac{{P}_{A}^{∘}{x}_{A}}{{P}_{B}^{∘}{x}_{B}}\)

\(\Rightarrow \frac{{y}_{A}}{{y}_{B}}<\frac{{x}_{A}}{{x}_{B}}\)

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