The vapour pressure of pure benzene and methyl benzene at $27^{\circ} \mathrm{C}$ is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapour phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is _______…

Question

The vapour pressure of pure benzene and methyl benzene at $27^{\circ} \mathrm{C}$ is given as 80 Torr and 24 Torr, respectively. The mole fraction of methyl benzene in vapour phase, in equilibrium with an equimolar mixture of those two liquids (ideal solution) at the same temperature is _______ $\times 10^{-2}$ (nearest integer)

Aicharya · Accepted Answer

$\begin{aligned} \mathrm{X}_{	ext {methylbenzene }} & =0.5 \ \mathrm{Y}_{	ext {methylbenzene }} & =\frac{\mathrm{P}_{	ext {methylbenzene }}}{\mathrm{P}_{	ext {total }}} \ \mathrm{Y}_{	ext {methylbenzene }} & =\frac{0.5 	imes 24}{0.5 	imes 80+0.5 	imes 24} \ & =\frac{12}{40+12}=0.23=23 	imes 10^{-2}\end{aligned}$

The vapour pressure of pure benzene and methyl benzene at \(27^{\circ} \mathrm{C}\) is given as 80 Torr and…

Solution