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JEE Main 20249 AprilEvening Shift
Exam
JEE Main
Year
2024
Date
9 April
Shift
Evening Shift
Subject
Chemistry
Chapter
Solutions

JEE Main 2024 · 9 April · Evening Shift · Chemistry · Solutions

The vapour pressure of pure benzene and methyl benzene at (27^ C)...

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)

Correct answer

0

Step-by-step solution

Xmethylbenzene =0.5Ymethylbenzene =Pmethylbenzene Ptotal Ymethylbenzene =0.5×240.5×80+0.5×24=1240+12=0.23=23×10−2\begin{aligned} \mathrm{X}_{\text{methylbenzene }} & =0.5 \\ \mathrm{Y}_{\text{methylbenzene }} & =\frac{\mathrm{P}_{\text{methylbenzene }}}{\mathrm{P}_{\text{total }}} \\ \mathrm{Y}_{\text{methylbenzene }} & =\frac{0.5 \times 24}{0.5 \times 80+0.5 \times 24} \\ & =\frac{12}{40+12}=0.23=23 \times 10^{-2}\end{aligned}
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