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

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 10, Problem 89GQ
Textbook Problem
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## 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 of Solution

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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