   # Dry nitrogen gas is bubbled through liquid benzene (C 6 H 6 ) at 20.0°c. From 100.0 L of the gaseous mixture of nitrogen and benzene, 24.7 g benzene is condensed by passing the mixture through a trap at a temperature where nitrogen is gaseous and the vapor pressure of benzene is negligible. What is the vapor pressure of benzene at 20.0°C? ### 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 9, Problem 117AE
Textbook Problem
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## Dry nitrogen gas is bubbled through liquid benzene (C6H6) at 20.0°c. From 100.0 L of the gaseous mixture of nitrogen and benzene, 24.7 g benzene is condensed by passing the mixture through a trap at a temperature where nitrogen is gaseous and the vapor pressure of benzene is negligible. What is the vapor pressure of benzene at 20.0°C?

Interpretation Introduction

Interpretation:

The vapor pressure of benzene at 20°C has to be calculated.

Concept Introduction:

Vapor pressure of the liquid is defined as the pressure of its vapor state when it is in equilibrium with the liquid state. If the volume of the substance and temperature are known, vapor pressure can be calculated using Ideal gas equation,

PV=nRTRewriting the equation,            P=nRTVwhereP=Pressuren=numberofmolesR=UniversalgasconstantV=Volume

### Explanation of Solution

Explanation

Record the given data.

Given data: 24.7 g of benzene is condensed. Volume of gaseous mixture is 100mL .

The mass of Benzene that condensed from a 100mL gaseous mixture of Nitrogen and Benzene is given.

Calculate the number of moles of benzene that are condensed.

Given data: 24.7 g of benzene is condensed.

Known data:  molar mass of benzene = 78.11 g/mol

Therefore,Numberofmolesofbenzene=massofbenzenemolarmassofbenzene=24.7g78.11g/mol=0.316mol

The mass of benzene that is condensed is converted to number of moles using the formula Numberofmoles=massmolarmass given that mass and molar mass of benzene are known.

Calculate the vapor pressure of benzene.

Knowndata:n=0

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