JEE Mains · Chemistry · STD 12 -1. Solution and colligative properties
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 \(y_A\) and \(y_B\) are the mole fraction of A and B in vapour phase then :
- A \(\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \lt \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}\)
- B \(\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}}=\frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}\)
- C \(\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \gt \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}\)
- D \(\left(\mathrm{x}_{\mathrm{A}}-\mathrm{y}_{\mathrm{A}}\right) \lt \left(\mathrm{x}_{\mathrm{B}}-\mathrm{y}_{\mathrm{B}}\right)\)
Answer & Solution
Correct Answer
(C) \(\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \gt \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \mathrm{P}_{\mathrm{A}}^{\mathrm{o}} \lt \mathrm{P}_{\mathrm{B}}^{\mathrm{o}} \\ & \frac{\mathrm{P}_{\mathrm{A}}^o}{\mathrm{P}_{\mathrm{B}}^o} \lt 1 \\ &…
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