   # Benzene and toluene form an ideal solution. Consider a solution of benzene and toluene prepared at 25°C. Assuming the mole fractions of benzene and toluene in the vapor phase are equal, calculate the composition of the solution. At 25°C the vapor pressures of benzene and toluene are 95 and 28 torr, respectively. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 10, Problem 60E
Textbook Problem
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## Benzene and toluene form an ideal solution. Consider a solution of benzene and toluene prepared at 25°C. Assuming the mole fractions of benzene and toluene in the vapor phase are equal, calculate the composition of the solution. At 25°C the vapor pressures of benzene and toluene are 95 and 28 torr, respectively.

Interpretation Introduction

Interpretation: The composition of the vapor has to be calculated.

Concept introduction:

Raoult's law states that the fractional vapor pressure of each constituent of a perfect mixture of liquids is equivalent to the vapor pressure of the clean constituent multiplied by its mole fraction in the mixture.

PsolnsolventPοsolvent

χsolvent=molefraction

Pοsolvent=vapourpressureofsolvent

Psoln=solutionvapour

### Explanation of Solution

Record the given data

Temperature = 250C

Vapor pressure of pure Benzene = 95torr.

Vapor pressure of pure Toluene = 28torr.

To calculate mole fraction of Benzene and Toluene.

PtoltolLPtoloPpenbenLPbeno

For the vapor

χAV=PA/Ptotal

Since the mole fractions of benzene and toluene are equal in the vapor phase Ptol=Pben

χtolLPtolo =χbenLPbeno =(1.00-χtolL)Pbeno  χtolL(28torr) =(1

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