   # Determine the partial pressure of each gas as shown in the figure below. Note: The relative numbers of each type of gas are depicted in the figure. ### 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 8, Problem 81E
Textbook Problem
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## Determine the partial pressure of each gas as shown in the figure below. Note: The relative numbers of each type of gas are depicted in the figure. Interpretation Introduction

Interpretation: The partial pressure of each gas in the given figure is needed to be determined where the numbers of each type of gas are 5He , 3Ne and 2Ar .

Concept introduction:

Partial pressure of a gas in a mixture of gases is the pressure of that gas when it alone.

Partial pressure of a gas in terms of its mole fraction and total pressure is,

` PA=χA×PTOTAL

A mole fraction of a molecule in a mixture is the ratio of number of moles of these molecules to sum of number of moles of all molecules in the mixture. The mole fractions can be related to molecule fractions.

Equation for molecule fraction of molecule is,

moleculefractionofamolecule=numbersofamoleculetotalnumberofmolecules

### Explanation of Solution

Explanation

In the figure, total 10 gas molecules are present.

Numbers of molecules presented in the figure are,

Numbers of helium molecule is 5. So the molecule fraction is 510=0.50

Numbers of neon molecule is 3.

Numbers of argon molecule is 2.

These molecule fractions of each molecule in the figure having total of 10 atoms are,

Equation for molecule fraction of molecule is,

moleculefractionofamolecule=numbersofamoleculetotalnumberofmolecules

Molecule fraction of helium is

510=0.50

Molecule fraction of neon is

210=0.20

Molecule fraction of argon is

210=0.20

Here, the sample contains only 10 molecules. The molecule fraction of each gas can be considered as their respective mole fraction.

Therefore,

Mole fraction of helium is 0.50

Mole fraction of neon is 0.30

Mole fraction of argon is 0.20

The mole fraction of each gas is calculated as,

χHe=0

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