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Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097

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BuyFindarrow_forward

Chemistry

9th Edition
Steven S. Zumdahl
ISBN: 9781133611097
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):

Chapter 12, Problem 45E, Experimental data for the reaction A2B+C have been plotted in the following three different ways

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

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