   Chapter 12, Problem 62E

Chapter
Section
Textbook Problem

# The mechanism for the gas-phase reaction of nitrogen dioxide with carbon monoxide to form nitric oxide and carbon dioxide is thought to be NO 2   +   NO 2   →   NO 3   +   NO         S l o w NO 3   +   CO   →   NO 2   +   CO 2           F a s t Write the rate law expected for this mechanism. What is the overall balanced equation for the reaction?

Interpretation Introduction

Interpretation: A proposed mechanism of gas-phase reaction of nitrogen dioxide is given. The rate law and overall balanced equation for the reaction is to be determined.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction. The differential rate law provides the rate of a reaction at specific reaction concentrations.

To determine: The rate law of the given reaction.

Explanation

The slow step of reaction mechanism is rate determining step. In the given mechanism of a reaction, first step is slow step. Hence, it is a rate determining step.

The proposed first step mechanism is,

NO2+NO2NO3+NO

The rate law gives the relation between reaction rate and concentration of reactants. The given reaction consists of two reactants, that is, NO2 . Hence, the rate law for the given reaction is,

Rate=k[NO2][NO2]=k[NO2]2

Where,

• k is rate constant.
• [NO2] is concentration of reactant.

To determine: The overall balanced equation of the given reaction

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