   # Liquid A has vapor pressure x, and liquid B has vapor pressure y. What is the mole fraction of the liquid mixture if the vapor above the solution is 30.% A by moles? 80.% A? 80.% A? (Calculate in terms of x and y.) ### 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 119CP
Textbook Problem
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## Liquid A has vapor pressure x, and liquid B has vapor pressure y. What is the mole fraction of the liquid mixture if the vapor above the solution is 30.% A by moles? 80.% A? 80.% A? (Calculate in terms of x and y.)

a)

Interpretation Introduction

Interpretation: The mole fractions of Solution A and B has to be calculated for various percentages.

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

To calculate the mole fraction of Solution A and B, if the vapor above the solution is 30%A by moles.

Vapor pressure of A = x

Vapor pressure of B = y

For 30%A by moles in the vapor =

PAPA+PB×1000.30=χAxχAx+χBy0.30=χAxχAx+(1.00-χA)yχAx=0

b)

Interpretation Introduction

Interpretation: The mole fractions of Solution A and B has to be calculated for various percentages.

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)

c)

Interpretation Introduction

Interpretation: The mole fractions of Solution A and B has to be calculated for various percentages.

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)

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