BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

Solutions

Chapter
Section
BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
Textbook Problem

The reaction A ( a q )  + B ( a q ) products ( a q ) was studied, and the following data were obtained:

[Al]0

(mol/L)

[B]0

(mol/L)

Initial Rate (mol/L·s)
0.12 0.18 3.46 × 10−2
0.060 0.12 1.15 × 10−2
0.030 0.090 4.32 × 10−3
0.24 0.090 3.46 × 10−2

What is the order of the reaction with respect to A? What is the order of the reaction with respect to B? What is the value of the rate constant for the reaction?

Interpretation Introduction

Interpretation: The data analysis table for the initial concentrations of two reactants and initial rate is given. By using these values, the order of recation with respect to each reactant and the value of rate constant is to be calculated.

Concept introduction: All chemical reactions follow rate law. This law shows that how the rate of a chemical reaction depends on the concentration of reactants.

Example: Suppose a chemical reaction is as follows:

A+BC+D

According to the rate law, rate of a chemical reaction is expressed by following expression.

Rate=k[A]m[B]n

To determine: The order of the chemical reaction with respect to A and B as well as rate constant of the reaction.

Explanation

Given

Data analysis table along with the chemical reaction is as follows:

A(aq)+B(aq)products(aq)

[A]0(mol/L) [B]0(mol/L) Initialrate(mol/Ls)
0.12 0.18 3.46×102
0.060 0.12 1.15×102
0.030 0.090 4.32×103
0.24 0.090 3.46×102

Rate law for the reaction is calculated by using the formula,

Rate=k[A]m[B]n

Where,

  • k is rate constantof reaction.
  • [A] is the concentration of reactant A.
  • [B] is the concentration of reactant B.
  • m is the order of reaction with respect to reactant A.
  • n is the order of reaction with respect to reactant B.

For the first row of table:

Substitute the value of rate and concentrations [A]and[B] in the above formula.

3.46×102=k(0.12)m(0.18)n (1)

For the second  row of table:

Substitute the value of rate and concentrations [A]and[B] in the above formula.

1.15×102=k(0.060)m(0.12)n (2)

For the third row of table:

Substitute the value of rate and concentrations [A]and[B] in the above formula.

4.32×103=k(0.030)m(0

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

Chapter 12 Solutions

Show all chapter solutions add

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Calorie deficit is no longer the primary strategy for weight management.

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

Complete the following table:

Chemistry & Chemical Reactivity

What are the four most common metric prefixes?

An Introduction to Physical Science

Why does the expansion of a stars envelope make it cooler and more luminous?

Horizons: Exploring the Universe (MindTap Course List)

What is the role of the cytochromes in the electron transport chain?

Chemistry for Today: General, Organic, and Biochemistry

Why is the metric system of units considered superior to most other systems of units?

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

True or false? Some protists start out life with no nucleus.

Biology: The Unity and Diversity of Life (MindTap Course List)