   # The density of a mixture of gases may be calculated by summing the products of the density of each gas and the fractional volume of space occupied by that gas. (Note the similarity to the calculation of the molar mass of an element from the isotopic masses and fractional abundances.) Assume dry air with CO 2 removed is 20.96% (by volume) oxygen. 78.11% nitrogen, and 0.930% argon. Determine the density of argon. ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 2.10, Problem 4Q
Textbook Problem
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## The density of a mixture of gases may be calculated by summing the products of the density of each gas and the fractional volume of space occupied by that gas. (Note the similarity to the calculation of the molar mass of an element from the isotopic masses and fractional abundances.) Assume dry air with CO2 removed is 20.96% (by volume) oxygen. 78.11% nitrogen, and 0.930% argon. Determine the density of argon.

Interpretation Introduction

Interpretation:

The density of argon in given air sample has to be calculated using the given volume fraction of Argon 0.930%.

Concept introduction:

Equation for density from volume and mass is,

Density=MassVolume

The density of air can be determined by the sum of product of volume fraction and the density of each gas.

### Explanation of Solution

The density of dry air is 1.29327g/L.

The volume fraction of CO2 gas is20.96%=0.2096L

The density of CO2 is1.42952g/L.

The volume fraction of nitrogen gas is78.11%=0.7811L .

The density of the nitrogen is1.25092g/L.

The volume fraction of argon is 0.930%=0.0093L

Equation for density from volume and mass is,

Density=

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