Benzene and toluene form ideal solutions. Consider a solution of benzene and toluene prepared at 25 ^ { \circ } \mathrm { C }25∘C. Assuming that the mole fractions of benzene and toluene in the vapor phase are equal, calculate the composition of the solution. At 25 ^ { \circ } \mathrm { C }25∘C the vapor pressures of benzene and toluene are 95 and 28 torr, respectively.

The composition of benzene is 0.77 and the composition of toluene is 0.23

Explanation:

The Raoult´s law is:

Where

P = total pressure of solution benzene-toluene

PA⁰= vapor pressure of benzene = 95 torr

PB⁰ = vapor pressure of toluene = 28 torr

xA = mole fraction of benzene

xB = mole fraction of toluene

The total pressure of the solution is:

The composition of benzene and toluene:

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