Liquid A and B form an ideal solution. The vapour pressure of pure...

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 :

Options

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

C. $\frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}} \gt \frac{\mathrm{y}_{\mathrm{A}}}{\mathrm{y}_{\mathrm{B}}}$

\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 \\ & \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}}} \\ & \frac{\mathrm{x}_{\mathrm{A}}}{\mathrm{x}_{\mathrm{B}}}\end{aligned}