   Chapter 10, Problem 47PS

Chapter
Section
Textbook Problem

In each pair of gases below, tell which will effuse faster: (a) CO2 or F2 (b) O2 or N2 (c) C2H4 or C2H6 (d) two chlorofluorocarbons: CFCl3 or C2CI2F4

(a)

Interpretation Introduction

Interpretation: For the given set of gases CO2 and F2 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

Considering the molar mass of both the given gases F2 gas effuses faster rate than CO2 since molar mass of F2 is 38g/mol where

(b)

Interpretation Introduction

Interpretation: For the given set of gases O2 and N2 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.

(c)

Interpretation Introduction

Interpretation: For the given set of gases C2H4 and C2H6 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.

(d)

Interpretation Introduction

Interpretation: For the given set of gases CFCl3 and C2Cl2F4 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.

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