   # You have a solution of two volatile liquids, A and B (assume ideal behavior). Pure liquid A has a vapor pressure of 350.0 torr and pure liquid B has a vapor pressure of 100.0 torr at the temperature of the solution. The vapor at equilibrium above the solution has double the mole fraction of substance A that the solution does. What is the mole fraction of liquid A in the solution? ### 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 128CP
Textbook Problem
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## You have a solution of two volatile liquids, A and B (assume ideal behavior). Pure liquid A has a vapor pressure of 350.0 torr and pure liquid B has a vapor pressure of 100.0 torr at the temperature of the solution. The vapor at equilibrium above the solution has double the mole fraction of substance A that the solution does. What is the mole fraction of liquid A in the solution?

Interpretation Introduction

Interpretation: The mole fraction of liquid A has to be calculated.

Concept Introduction:

Mole fraction of a compound can be defined as the number of moles of a substance to the total number of moles present in them. The mole fraction can be calculated by,

Molefractionofcompound=Numberofmoles(inmol)Totalnumberofmoles(inmol)

### Explanation of Solution

Vapor pressure of pure liquid A = 350.0torr

Vapor Pressure of pure liquid B = 100.0torr

To calculate the mole fraction of liquid A in solution

Let χLA=molefractionAinsolution

So,

1.000-χLALB

From the data,

χVA=2χLA

χVA=PAPtotal

χVA=χLA(350

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