   Chapter 10, Problem 89GQ

Chapter
Section
Textbook Problem

Nitrogen monoxide reacts with oxygen to give nitrogen dioxide:2 NO(g) + O2(g) → 2 NO2(g) (a) Place the three gases in order of increasing rms speed at 298 K. (b) If you mix NO and O2 in the correct stoichiometric ratio and NO has a partial pressure of 150 mm Hg, what is the partial pressure of O2? (c) After reaction between NO and O2 is complete; what is the pressure of NO2 if the NO originally had a pressure of 150 mm Hg and O2 was added in the correct stoichiometric amount?

(a)

Interpretation Introduction

Interpretation:

The given gases reaction should be arranged in the order of increasing rms speed at given temperature and (O2) and (NO2) partial pressure should calculate and identified.

Concept introduction:

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.

Partial pressure: The mixture of gases each gas has a partial pressure which is the hypothetical pressure of that gas if it alone occupied the entire volume of the original mixture at the same temperature.

Explanation

The expression used to calculate the rms speed is as follows,

μrms=(3RTM)1/2

The rms speed for the NO2 molecule is

μrms=(3RTM)1/2Molar massof NO2=46.0055g/mol=(3×8.314×29846.0055)1/2=12

(b)

Interpretation Introduction

Interpretation:

The given gases reaction should be arranged in the order of increasing rms speed at given temperature and (O2) and (NO2) partial pressure should calculate and identified.

Concept introduction:

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.

Partial pressure: The mixture of gases each gas has a partial pressure which is the hypothetical pressure of that gas if it alone occupied the entire volume of the original mixture at the same temperature.

(c)

Interpretation Introduction

Interpretation:

The given gases reaction should be arranged in the order of increasing rms speed at given temperature and (O2) and (NO2) partial pressure should calculate and identified.

Concept introduction:

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.

Partial pressure: The mixture of gases each gas has a partial pressure which is the hypothetical pressure of that gas if it alone occupied the entire volume of the original mixture at the same temperature.

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