   # The rate law for the reaction 2 NOBr ( g ) → 2 NO ( g ) + Br 2 ( g ) at some temperature is Rate = − Δ [ NOBr ] Δ t = k [ NOBr ] 2 a. If the half-life for this reaction is 2.00 s when [NOBr] 0 = 0.900 M , calculate the value of k for this reaction. b. How much time is required for the concentration of NOBr to decrease to 0.100 M ? ### 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 54E
Textbook Problem
3 views

## The rate law for the reaction 2 NOBr ( g )   →   2 NO ( g )   +   Br 2 ( g ) at some temperature is Rate   =   − Δ [ NOBr ] Δ t   =   k [ NOBr ] 2 a. If the half-life for this reaction is 2.00 s when [NOBr]0 = 0.900 M, calculate the value of k for this reaction.b. How much time is required for the concentration of NOBr to decrease to 0.100 M?

(a)

Interpretation Introduction

Interpretation: The rate law reaction of decomposition of NOBr and half-life is given. The rate constant for the given value of half life is to be calculated. Also, the time required for the given change in the concentration of NOBr is to be calculated.

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 constant for 2.00s half life.

### Explanation of Solution

The half-life is 2.00s .

The given reaction is,

2NOBr(g)2NO(g)+Br2(g)

The formula of rate of reaction is,

Rate=Δ[NOBr]Δt=k[NOBr]2

Where,

• k is rate constant.
• Δ[NOBr] is change in concentration of [NOBr] .
• Δt is change in time.

The given equation belongs to second order reaction. Hence,

[NOBr]0=0.900M[NOBr]=0.1M

Where,

• [NOBr]0 is initial concentration.
• [NOBr] is concentration at time t .

Formula:

The half-life is calculated using the formula,

t12=1k[A]0

Where,

• t12 is half life

(b)

Interpretation Introduction

Interpretation: The rate law reaction of decomposition of NOBr and half-life is given. The rate constant for the given value of half life is to be calculated. Also, the time required for the given change in the concentration of NOBr is to be calculated.

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 time taken by 0.900M NOBr to decrease to a concentration to 0.100M .

### Still sussing out bartleby?

Check out a sample textbook solution.

See a sample solution

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
The critical diagnostic criterion for celiac disease is high levels of blood antibodies. high levels of blood g...

Nutrition: Concepts and Controversies - Standalone book (MindTap Course List)

What does density describe?

An Introduction to Physical Science

What are the chemical differences between DNA and RNA?

Biology: The Dynamic Science (MindTap Course List)

What is the difference between the Milky Way and the Milky Way Galaxy?

Horizons: Exploring the Universe (MindTap Course List)

In the following diagram, designate each daughter cell as diploid (2n) or haploid (n).

Human Heredity: Principles and Issues (MindTap Course List)

How does a tendon differ from a ligament?

Human Biology (MindTap Course List)

What characteristics are unique to marine mammals?

Oceanography: An Invitation To Marine Science, Loose-leaf Versin

(a) Take the definition of the coefficient of volume expansion to be =1VdVdT|P=constant=1VVT Use the equation o...

Physics for Scientists and Engineers, Technology Update (No access codes included) 