Physical Chemistry
Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
bartleby

Concept explainers

bartleby

Videos

Question
Book Icon
Chapter 8, Problem 8.35E
Interpretation Introduction

(a)

Interpretation:

The ratio of molarity of the ions in the given concentration cells required to have E equal to 0.050V is to be calculated.

Concept introduction:

The type of electrochemical cells which is comprised of two same electrodes but different concentrations or pressures is known as concentration cell.

Expert Solution
Check Mark

Answer to Problem 8.35E

The ratio of [Fe2+]prod[Fe2+]react for the given concentration cell is 0.020.

Explanation of Solution

The given concentration cell is,

Fe2+[react]Fe2+[prod]

For a concentration cell, standard electrode potential E° is zero. The given electrode potential is 0.050V.

The electrode potential at the given concentration can be calculated by using the Nernst equation as shown below.

E=E°RTnFlnQ

Where,

n is the number of electrons

T is the temperature

Q is the reaction quotient

F is the Faraday constant.

E° is the standard electrode potential.

E is the electrode potential at given conditions.

Substitute the values of given potential, standard electrode potential and concentration of the species in the formula.

0.050=0(8.314JKmol)(298K)(2mole)(96485Cmole)ln[Fe2+]prod[Fe2+]react0.050=2477.572192970ln[Fe2+]prod[Fe2+]react0.050=0.0128ln[Fe2+]prod[Fe2+]react0.0500.0128=ln[Fe2+]prod[Fe2+]react

Solve for the value of ratio of [Fe2+]prod[Fe2+]react as shown below.

ln[Fe2+]prod[Fe2+]react=3.91[Fe2+]prod[Fe2+]react=0.020

Thus, the ratio of [Fe2+]prod[Fe2+]react for the given concentration cell is 0.020.

Conclusion

The ratio of [Fe2+]prod[Fe2+]react for the given concentration cell is 0.020.

Interpretation Introduction

(b)

Interpretation:

The ratio of molarity of the ions in the given concentration cells required to have E equal to 0.050V is to be determined.

Concept introduction:

The type of electrochemical cells which is comprised of two same electrodes but different concentrations or pressures is known as concentration cell.

Expert Solution
Check Mark

Answer to Problem 8.35E

The ratio of [Fe3+]prod[Fe3+]react for the given concentration cell is 0.0029.

Explanation of Solution

The given concentration cell is,

Fe3+[reacts]Fe3+[prods]

For a concentration cell standard electrode potential E° is zero. The given electrode potential is 0.050V.

The electrode potential at the given concentration can be calculated by using the Nernst equation as shown below.

E=E°RTnFlnQ

Where,

n is the number of electrons

T is the temperature

Q is the reaction quotient

F is the Faraday constant.

E° is the standard electrode potential.

E is the electrode potential at given conditions.

Substitute the values of given potential, standard electrode potential and concentration of the species in the formula.

0.050=0(8.314JKmol)(298K)(3mole)(96485Cmole)ln[Fe3+]prod[Fe3+]react0.050=2477.572289455ln[Fe3+]prod[Fe3+]react0.050=0.00856ln[Fe3+]prod[Fe3+]react0.0500.00856=ln[Fe3+]prod[Fe3+]react

Solve for the value of ratio of [Fe3+]prod[Fe3+]react as shown below.

ln[Fe3+]prod[Fe3+]react=5.84[Fe3+]prod[Fe3+]react=0.0029

Thus, the ratio of [Fe3+]prod[Fe3+]react for the given concentration cell is 0.0029.

Conclusion

The ratio of [Fe3+]prod[Fe3+]react for the given concentration cell is 0.0029.

Interpretation Introduction

(c)

Interpretation:

The ratio of molarity of the ions in the given concentration cells required to have E equal to 0.050V is to be determined.

Concept introduction:

The type of electrochemical cells which is comprised of two same electrodes but different concentrations or pressures is known as concentration cell.

Expert Solution
Check Mark

Answer to Problem 8.35E

The ratio of [Co2+]prod[Co2+]react for the given concentration cell is 0.020.

Explanation of Solution

The given concentration cell is,

Co2+[reacts]Co2+[prods]

For a concentration cell standard electrode potential E° is zero. The given electrode potential is 0.050V.

The electrode potential at the given concentration can be calculated by using the Nernst equation as shown below.

E=E°RTnFlnQ

Where,

n is the number of electrons

T is the temperature

Q is the reaction quotient

F is the Faraday constant.

E° is the standard electrode potential.

E is the electrode potential at given conditions.

Substitute the values of given potential, standard electrode potential and concentration of the species in the formula.

0.050=0(8.314JKmol)(298K)(2mole)(96485Cmole)ln[Co2+]prod[Co2+]react0.050=2477.572192970ln[Co2+]prod[Co2+]react0.050=0.0128ln[Co2+]prod[Co2+]react0.0500.0128=ln[Co2+]prod[Co2+]react

Solve for the value of ratio of [Co2+]prod[Co2+]react as shown below.

ln[Co2+]prod[Co2+]react=3.91[Co2+]prod[Co2+]react=0.020

Thus, the ratio of [Co2+]prod[Co2+]react for the given concentration cell is 0.020.

Conclusion

The ratio of [Co2+]prod[Co2+]react for the given concentration cell is 0.020.

Interpretation Introduction

(d)

Interpretation:

The answers are to be compared and similarities or differences are to be stated.

Concept introduction:

The type of electrochemical cells which is comprised of two same electrodes but different concentrations or pressures is known as concentrations cells.

Expert Solution
Check Mark

Answer to Problem 8.35E

The ratio of molarities is equal in case of [Co2+]prod[Co2+]react and [Fe2+]prod[Fe2+]react as the number of electron change involved in these cells are same.

Explanation of Solution

The ratio of molarities is equal in case of [Co2+]prod[Co2+]react and [Fe2+]prod[Fe2+]react as the number of electron change involved in these cells are the same. The concentration cells do not depend on the chemical identities of the half-cells involved.

Conclusion

The ratio of molarities is equal in case of [Co2+]prod[Co2+]react and [Fe2+]prod[Fe2+]react as the number of electron change involved in these cells are same.

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!

Chapter 8 Solutions

Physical Chemistry

Ch. 8 - Prob. 8.11ECh. 8 - Prob. 8.12ECh. 8 - 8.13. Is the disproportionation reaction...Ch. 8 - Prob. 8.14ECh. 8 - Prob. 8.15ECh. 8 - Prob. 8.16ECh. 8 - Prob. 8.17ECh. 8 - 8.18. Determine and for each of the following...Ch. 8 - Prob. 8.19ECh. 8 - Prob. 8.20ECh. 8 - Prob. 8.21ECh. 8 - Prob. 8.22ECh. 8 - Prob. 8.23ECh. 8 - Prob. 8.24ECh. 8 - Prob. 8.25ECh. 8 - Prob. 8.26ECh. 8 - Prob. 8.27ECh. 8 - What is the Zn2+:Cu2+ ratio on a Daniell cell that...Ch. 8 - Prob. 8.29ECh. 8 - Determine the voltage of this reaction with the...Ch. 8 - The thermite reaction can act as the basis of an...Ch. 8 - A concentration cell has different concentrations...Ch. 8 - Prob. 8.34ECh. 8 - Prob. 8.35ECh. 8 - a What is the equilibrium constant for the...Ch. 8 - Prob. 8.37ECh. 8 - Prob. 8.38ECh. 8 - Prob. 8.39ECh. 8 - Prob. 8.40ECh. 8 - Prob. 8.41ECh. 8 - Consider the following formation reaction for HI:...Ch. 8 - Prob. 8.43ECh. 8 - 8.44. Determine an expression for , the change in...Ch. 8 - Prob. 8.45ECh. 8 - Prob. 8.46ECh. 8 - Determine the equilibrium constant for the...Ch. 8 - Prob. 8.48ECh. 8 - Prob. 8.49ECh. 8 - What is the solubility product constant of Hg2Cl2,...Ch. 8 - Prob. 8.51ECh. 8 - Prob. 8.52ECh. 8 - Prob. 8.53ECh. 8 - Prob. 8.54ECh. 8 - Prob. 8.55ECh. 8 - Prob. 8.56ECh. 8 - Prob. 8.57ECh. 8 - Show that a can be written as n+mnn+n+nn, where m...Ch. 8 - Prob. 8.59ECh. 8 - Prob. 8.60ECh. 8 - What molality of NaCl is necessary to have the...Ch. 8 - Prob. 8.62ECh. 8 - Prob. 8.63ECh. 8 - Calculate the molar enthalpy of formation of I(aq)...Ch. 8 - Prob. 8.65ECh. 8 - Hydrofluoric acid, HF(aq), is a weak acid that is...Ch. 8 - Prob. 8.68ECh. 8 - Prob. 8.69ECh. 8 - Prob. 8.70ECh. 8 - Prob. 8.71ECh. 8 - Prob. 8.72ECh. 8 - The mean activity coefficient for an aqueous...Ch. 8 - Human blood plasma is approximately 0.9NaCl. What...Ch. 8 - Under what conditions does the extended...Ch. 8 - Prob. 8.76ECh. 8 - Approximate the expected voltage for the following...Ch. 8 - Prob. 8.78ECh. 8 - Prob. 8.79ECh. 8 - Prob. 8.80ECh. 8 - a The salt NaNO3 can be thought of as...Ch. 8 - Prob. 8.82ECh. 8 - What is the estimated velocity for Cu2+ ions...Ch. 8 - Prob. 8.84ECh. 8 - Prob. 8.85ECh. 8 - Prob. 8.86ECh. 8 - Calculate a the solubility product constant for...
Knowledge Booster
Background pattern image
Chemistry
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
  • Text book image
    Chemistry: Principles and Practice
    Chemistry
    ISBN:9780534420123
    Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
    Publisher:Cengage Learning
    Text book image
    Chemistry
    Chemistry
    ISBN:9781133611097
    Author:Steven S. Zumdahl
    Publisher:Cengage Learning
    Text book image
    Chemistry
    Chemistry
    ISBN:9781305957404
    Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
    Publisher:Cengage Learning
  • Text book image
    Chemistry: An Atoms First Approach
    Chemistry
    ISBN:9781305079243
    Author:Steven S. Zumdahl, Susan A. Zumdahl
    Publisher:Cengage Learning
    Text book image
    Chemistry by OpenStax (2015-05-04)
    Chemistry
    ISBN:9781938168390
    Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
    Publisher:OpenStax
    Text book image
    Principles of Modern Chemistry
    Chemistry
    ISBN:9781305079113
    Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
    Publisher:Cengage Learning
Text book image
Chemistry: Principles and Practice
Chemistry
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781133611097
Author:Steven S. Zumdahl
Publisher:Cengage Learning
Text book image
Chemistry
Chemistry
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Cengage Learning
Text book image
Chemistry: An Atoms First Approach
Chemistry
ISBN:9781305079243
Author:Steven S. Zumdahl, Susan A. Zumdahl
Publisher:Cengage Learning
Text book image
Chemistry by OpenStax (2015-05-04)
Chemistry
ISBN:9781938168390
Author:Klaus Theopold, Richard H Langley, Paul Flowers, William R. Robinson, Mark Blaser
Publisher:OpenStax
Text book image
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning
Electrolysis; Author: Tyler DeWitt;https://www.youtube.com/watch?v=dRtSjJCKkIo;License: Standard YouTube License, CC-BY