9th Edition
Steven S. Zumdahl
ISBN: 9781133611097




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

The activation energy for a reaction is changed from 184 kJ/ mol to 59.0 kJ/mol at 600. K by the introduction of a catalyst. If the uncatalyzed reaction takes about 2400 years to occur, about how long will the catalyzed reaction take? Assume the frequency factor A is constant, and assume the initial concentrations are the same.

Interpretation Introduction

Interpretation: The change in activation energy of a reaction without catalyst at 600K and with catalyst is given. Also, the time of uncatalyzed reaction to occur is given. Based on these data, the time ofcatalyzed reaction is to be calculated.

Concept introduction: The substance that speeds up the rate of reaction without getting consumed itself in a chemical reaction is known as catalyst.

The relationship between the rate constant and temperature is given by the Arrhenius equation,


To determine: The total time of catalyzed reaction.



The activation energy of uncatalyzed reaction is 184kJ/mol .

The activation energy of catalyzed reaction is 59kJ/mol .

The time taken for the occurrence of uncatalyzed reaction is 2400years .

Temperature is 600K .

The conversion of kilojoules (kJ) into joule (J) is done as,


Hence, the conversion of 184kJ/mol into joule is,


The conversion of 59kJ into joule is,



The rate constant for uncatalyzed reaction is calculated using the formula,

lnk1=Ea1RT+lnA (1)


  • k1 is the rate constant for uncatalyzed reaction.
  • A is the frequency factor.
  • Ea1 is the activation energy for uncatalyzed reaction.
  • R is the universal gas constant (8.314J/Kmol) .
  • T is the absolute temperature.

The rate constant for catalyzed reaction is calculated using the formula,

lnk2=Ea2RT+lnA (2)


  • k2 is the rate constant for catalyzed reaction.
  • Ea2 is the activation energy for catalyzed reaction.
  • T is the absolute temperature.

It is assumed that frequency factor (A) and initial condition are same for each reaction

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

Saturation refers to the ability of a fat to penetrate a barrier, such as paper. whether or not a fatty acid ch...

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

What enzymes are involved in DNA replication?

Chemistry for Today: General, Organic, and Biochemistry

How much energy is required to change a 40.0-g ice cube from ice at 10.0C to steam at 110C?

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