For an ideal binary liquid solution with pA° pB° xA and yA represent the mole fraction of A in liquid phase and vapour phase respectively whereas xB and yB represent the mole fraction of B in liquid phase and vapour phase respectively. Therefore which of the following relation is correct?

Question

For an ideal binary liquid solution with pA° > pB° xA and yA represent the mole fraction of A in liquid phase and vapour phase respectively whereas xB and yB represent the mole fraction of B in liquid phase and vapour phase respectively. Therefore which of the following relation is correct? (A) xA = yA (B) xA > yA (C) (xA/xB) < (yA/yB) (D) (xA/xB) > (yA/yB)

Tardigrade Admin · Accepted Answer

P'A =P°A xA=p textsol × yA P'B=P° BxB=p textsol × yB ∴ (YA/YB)=(PA°/P°B)×(XA/XB) Since PA° > PB° ∴ (YA/YB)> (XA/XB)

$x_{A} = y_{A}$

$x_{A} > y_{A}$

$\frac{x _{A}}{x _{B}} < \frac{y _{A}}{y _{B}}$

$\frac{x _{A}}{x _{B}} > \frac{y _{A}}{y _{B}}$

$P_{A}^{'} = P_{A}^{\circ} x_{A} = p_{sol} \times y_{A}$
$P_{B}^{'} = P^{\circ}_{B} x_{B} = p_{sol} \times y_{B}$
$∴ \frac{Y _{A}}{Y _{B}} = \frac{P _{A}^{\circ}}{P _{B}^{\circ}} \times \frac{X _{A}}{X _{B}}$
Since $P_{A}^{\circ} > P_{B}^{\circ}$
$∴ \frac{Y _{A}}{Y _{B}} > \frac{X _{A}}{X _{B}}$

xA​=yA​

xA​>yA​

xB​xA​​<yB​yA​​

xB​xA​​>yB​yA​​

PA′​=PA∘​xA​=psol​×yA​ PB′​=P∘B​xB​=psol​×yB​ ∴YB​YA​​=PB∘​PA∘​​×XB​XA​​ Since PA∘​>PB∘​ ∴YB​YA​​>XB​XA​​

$x_{A} = y_{A}$

$x_{A} > y_{A}$

$\frac{x _{A}}{x _{B}} < \frac{y _{A}}{y _{B}}$

$\frac{x _{A}}{x _{B}} > \frac{y _{A}}{y _{B}}$