   # The decomposition of nitrosyl chloride was studied: 2NOCl(g) ⇌ 2NO(g) + Cl 2 (g) The following data were obtained where Rate = − Δ [ NOCl ] Δ t [NOCl] 0 (molecules/cm 3 ) Initial Rate (molecules/cm 3 · s) 3.0 × 10 16 5.98 × 10 4 2.0 × 10 16 2.66 × 10 4 1.0 × 10 16 6.64 × 10 3 4.0 × 10 16 1.06 × 10 5 a. What is the rate law? b. Calculate the value of the rate constant. c. Calculate the value of the rate constant when concentrations are given in moles per liter. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 11, Problem 31E
Textbook Problem
1373 views

## The decomposition of nitrosyl chloride was studied:2NOCl(g) ⇌ 2NO(g) + Cl2(g)The following data were obtained where Rate   =   − Δ [ NOCl ] Δ t [NOCl]0(molecules/cm3) Initial Rate (molecules/cm3 · s) 3.0 × 1016 5.98 × 104 2.0 × 1016 2.66 × 104 1.0 × 1016 6.64 × 103 4.0 × 1016 1.06 × 105 a. What is the rate law?b. Calculate the value of the rate constant.c. Calculate the value of the rate constant when concentrations are given in moles per liter.

(a)

Interpretation Introduction

Interpretation: A decomposition reaction of nitrosyl chloride and its rate expression is given. The rate law and the value of the rate constant are to be calculated.

Concept introduction: The relation between the reaction rate and the concentration of the reactants is stated by the rate law.

### Explanation of Solution

Given

The stated reaction is,

2NOCl(g)2NO(g)+Cl2(g)

The rate law for the given reaction is calculated by the expression,

Rate=k[NOCl]n

Where,

• [NOCl] is the concentrations of NOCl .
• k is the rate constant.
• n is the order of the reaction.

The value of n is calculated by the comparison of the different initial rate values from the given table.

The value of n is calculated using the third and fourth result. Substitute the values of the concentration of [NOCl] in the last two experiments in the above expression.

Rate3=k[1.0×1016]n

Rate4=k[4.0×1016]n

According to the given rate values in the table,

Rate4Rate3=1

(b)

Interpretation Introduction

Interpretation: A decomposition reaction of nitrosyl chloride and its rate expression is given. The rate law and the value of the rate constant are to be calculated.

Concept introduction: The relation between the reaction rate and the concentration of the reactants is stated by the rate law.

(c)

Interpretation Introduction

Interpretation: A decomposition reaction of nitrosyl chloride and its rate expression is given. The rate law and the value of the rate constant are to be calculated.

Concept introduction: The relation between the reaction rate and the concentration of the reactants is stated by the rate law.

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