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Answer :
The partial pressure of benzene and toluene is 74.11 torr.
Generally, vapor pressure is defined as a measure of the tendency of a material to change into the gaseous or vapor state, and it basically increases with temperature. Basically the temperature at which the vapor pressure at the surface of a liquid becomes equal to the pressure exerted by the surroundings is known as the boiling point of the liquid.
Pa denotes the Vapor pressure of benzene = 103.4 torr
Pb denotes the Vapor pressure of toluene = 46.9 torr
Moles of benzene can be calculated by the formula,
Number of moles of benzene = Given mass of benzene / Molar mass of benzene = 45/78 = 0.57 moles
Number of moles of toluene = Given mass of toluene/ Molar mass of toluene = 55/92 = 0.59 moles
Mole fraction of benzene (Xa) = 0.57/(0.57+0.59) = 0.57 / 1.16 = 0.49
Mole fraction of toluene (Xb) = 0.59/(0.57+0.59) = 0.50
Partial pressure = (XaPa + XbPb)
= 0.49 × 103.4 + 0.50 × 46.9
= 50.666 + 23.45 = 74.11 torr
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