   Chapter 10, Problem 48PS

Chapter
Section
Textbook Problem

Argon gas is 10 times denser than helium gas at the same temperature and pressure. Which gas is predicted to effuse faster? How much faster?

Interpretation Introduction

Interpretation: For the given set of gases that gas that effuses faster than the other one should be determined.

Concept introduction:

Effusion:

The movement of gas particles through a small hole is defined as effusion. The rate of effusion for a gas is inversely proportional to the square root of the mass of gas particles.

The root mean square velocity μ is defined as the measure of velocity of particle in gas. It is the method to determine the single velocity value for particles.

Root mean square velocity can be determined,

μrms=(3RTM)1/2 (1)

(gas constant)R=8.314JKmolM=Molarmass

Molar mass: The molar mass of a substance is determined by dividing the given mass of substance by the amount of the substance.

Explanation

Among the given gas the He will diffuse at faster rate than the other gas since argon is ten times denser than He and it is expected to diffuse at the rate of 3.16 times faster than argon.

The molar mass of helium is 4

The molar mass of argon is 39.95.

Now considering the law of diffusion,

r1r2=MM2MM1

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