   Chapter 13, Problem 67QAP ### 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
38 views

# If a gaseous mixture is made of 2 . 41 g of He and 2 . 79 g of Ne in an evacuated 1 .0 4 − L container at 25  ° C , what will be the partial pressure of each gas and the total pressure in the container?

Interpretation Introduction

Interpretation:

The partial pressure of each gas and total pressure of the container 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:

The mass of He gas is 2.41 g and that of Ne gas is 2.79 g. The volume of container at 25 C is 1.04 L.

Calculation:

Number of moles of He and Ne gas can be calculated as follows:

n=mM

Molar mass of He is 4 g/mol and that of Ne is 20.18 g/mol thus, number of moles will be:

nHe=2.41 g4 g/mol=0.6025 mol

Similarly, number of moles of Ne can be calculated as follows:

nNe=2.79 g20.18 g/mol=0.138 mol

Now, partial pressure of helium and neon can be calculated using the ideal gas equation:

P=nRTV

First convert the temperature from C to K as follows:

0 C=273.15 K

Thus,

25 C=(25+273.15) K=298.15 K

For Helium, partial pressure will be:

PHe=(0

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