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  4. Mole fraction of toluene in the vapor which is in equilibrium with a solution containing benzene and toluene having 2 mol each is Given: Saturation vapor pressure of benzene =120 torr Saturation vapor pressure of toluene =80 torr

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Q. Mole fraction of toluene in the vapor which is in equilibrium with a solution containing benzene and toluene having $2$ mol each is
Given: Saturation vapor pressure of benzene $=120$ torr
Saturation vapor pressure of toluene $=80$ torr

Solutions

Solution:

Total vapor pressure $=\frac{1}{2} \times 120+\frac{1}{2} \times 80=100$ torr

$y_{A} \times 100=x_{A} p_{A}^{\circ}$ as per Raoult's law

or $y_{t}=\frac{1}{2} \times \frac{80}{100}=0.4$