   Chapter 12, Problem 45E

Chapter
Section
Textbook Problem

# Experimental data for the reaction A → 2 B + C have been plotted in the following three different ways (with concentration units in mol/L): What is the order of the reaction with respect to A, and what is the initial concentration of A?

Interpretation Introduction

Interpretation: The general reaction is given. The graph of [A] versus time, ln[A] versus time and 1/[A] versus time is given. The order of reaction with respect to A and its initial concentration 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 order of reaction with respect to A .

Explanation

The given reaction is,

A2B+C

The rate law gives the relation between reaction rate and concentration of reactants. The rate law is represented as,

Rate=k[A]a (1)

Where,

• k is rate constant.
• [A] is concentration of reactant.
• a is reaction order of A.

The order of the given reaction can be determined by using following parameters,

• For first order reaction, ln[A]vstime graph is straight line
• For second order reaction, 1[A]vstime graph is straight line.
• For zero order reaction, [A]vstime graph is straight line.

Theplot of 1[A]vstime graphis straight line. It means that the given reaction is second order (a=2) reaction.

To determine: The initial concentration of A .

The integral rate law equation of second order reaction is,

1[A]=kt+1[A]0 (2)

Where,

• k is rate constant.
• [A]0 is initial concentration.
• [A] is final concentration.
• t is time.

The graph of second order reaction is,

Figure 1

Data from graph,

At t=6 the value of concentration is [A]=70

### 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 