   Chapter 11, Problem 97AE

Chapter
Section
Textbook Problem

# At 25°C, the vapor in equilibrium with a solution containing carbon disulfide and acetonitrile has a total pressure of 263 torr and is 85.5 mole percent carbon disulfide. What is the mole fraction of carbon disulfide in the solution? At 25°C, the vapor pressure of carbon disulfide is 375 torr. Assume the solution and vapor exhibit ideal behavior.

Interpretation Introduction

Interpretation: The mole fraction of carbon disulfide in the given carbon disulfide and acetonitrile solution should be calculated.

Concept introduction:

• Raoult's law:

The mole fraction of a solute is related to the vapor pressure of the solution thus,

Psolution=P°solventXsolvent......(1)Pisvapor pressureof the solutionsolventpressureof the solventXsolvent mole fraction ofsolvent

Explanation

Record the given data,

Total pressure of solution = 263 torr

Mole of carbon disulfide in solution = 85.5

Vapor pressure of carbon disulfide = 375 torr

To calculate the mole fraction of carbon disulfide in the given carbon disulfide and acetonitrile.

PCS2=χVCS2.Ptotal=0

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