Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074



Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

When healed lo a high temperature, cyclobutane, C4H8 decomposes to ethylene:

C4H8(g) → 2 C2H4(g)

The activation energy, Ea, for this reaction is 260 kJ/mol. At 800 K, the rate constant k = 0.0315 s−1. Determine the value of k at 850 K.

Interpretation Introduction


For the given reaction under given conditions, activation energy and the rate constants at particular temperature, the rate constant for temperature of 850K should be determined.

Concept introduction:

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

Rate determining step: In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Rate law: It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

Activation energy: It is defined as the minimum energy required by the reacting species in order to undergo chemical reaction.

Intermediate species: It is the species formed during the middle of the chemical reaction between the reactant and the desired product.

Arrhenius equation:

  • Arrhenius equation is a formula that represents the temperature dependence of reaction rates
  • The Arrhenius equation has to be represented as follows


  • Ea represents the activation energy and it’s unit is kJ/mol
  • R represents the universal gas constant and it has the value of 8.314 J/K.mol
  • T represents the absolute temperature
  • A represents the frequency factor or collision frequency
  • e represents the base of natural logarithm
  •  Arrhenius equation equation was proposed by Svante Arrhenius in 1889.

In order to find the rate constant at given temperature we need to use the following expression which relates the rate constant, activation energy and the temperature.

  ln(K1K2)=EaR(1T2-1T1)T1=850T2=800K1=KK2=0.0315s-1 Ea=260kJ/mol

With known rate constant, temperature and the activation energy the rate constant for the other given temperature is calculated as follows,


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 14 Solutions

Show all chapter solutions add

Additional Science Solutions

Find more solutions based on key concepts

Show solutions add

Expalin the difference between cytosol and cytoplasm in both prokaryotes and eukaryotes.

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

The nutrition objectives for the nation, as part of Healthy People 2020, a. envision a society in which all peo...

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

How is advection related to this system?

Fundamentals of Physical Geography

How can a star of as much as 8 solar masses form a white dwarf when it dies?

Horizons: Exploring the Universe (MindTap Course List)

Define carbohydrate in terms of the functional groups present.

Chemistry for Today: General, Organic, and Biochemistry

Two identical conducting spheres each having a radius of 0.500 cm are connected by a light, 2.00-m-long conduct...

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

What type of remnant do the lowest-mass main-sequence stars become?

Foundations of Astronomy (MindTap Course List)

What stimulated the rise of oceanographic institutions?

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