   Chapter 13, Problem 71QAP ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425

#### Solutions

Chapter
Section ### Introductory Chemistry: A Foundati...

9th Edition
Steven S. Zumdahl + 1 other
ISBN: 9781337399425
Textbook Problem
770 views

# A sample of oxygen gas is saturated with water vapor at 27  ° C . The total pressure of the mixture is 772 torr, and the vapor pressure of water is 26 . 7 torr at 27  ° C . What is the partial pressure of the oxygen gas?

Interpretation Introduction

Interpretation:

The partial pressure of oxygen gas should be calculated.

Concept Introduction:

Dalton’s law of partial pressure: In a container for mixture of gases, the total pressure is equal to the sum of partial pressures of all the gases present in the container. The partial pressure is the pressure exerted by a gas if it is the only gas present in the container.

Let a mixture of three gases with partial pressures P1, P2 and P3, the total pressure of the gas will be sum of these partial pressures as follows:

PT=P1+P2+P3

This is the Dalton’s law of partial pressure.

The behaviour of gases is assumed to be ideal thus, partial pressure of gases can be calculated from an ideal gas equation as follows:

PV=nRT

Here, P is pressure, V is volume, n is number of moles, R is Universal gas constant and T is temperature of the gas.

The pressure exerted by an ideal gas depends on the number of gas particles, this does not depend on the nature of particles of gas. The two important things concluded from it will be:

1. The volume of gases is important.
2. The forces in between the particles of gas is not important.
Explanation

Given Information:

Total pressure is 772 torr and vapour pressure of water is 26.7 torr at 27 C.

Calculation:

The total pressure is related to partial pressure of oxygen gas and water vapour as follows:

PT=PO2+PH2O...... (1)

Convert the partial pressure or vapour pressure of water vapour from torr to atm as follows:

1 atm=760 torr

Use the following conversion factor:

(1 atm

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