Chemistry: An Atoms First Approach
Chemistry: An Atoms First Approach
2nd Edition
ISBN: 9781305079243
Author: Steven S. Zumdahl, Susan A. Zumdahl
Publisher: Cengage Learning
bartleby

Concept explainers

Question
Book Icon
Chapter 20, Problem 91CP

(a)

Interpretation Introduction

Interpretation: The standard electrode potential (Eο) for the reaction and stronger oxidizing agent among Co+3 and Co(en)33+ is to be stated. An explanation on basis of the crystal field model corresponding to the fact that one of the given two ions is the stronger oxidizing agent is to be stated.

Concept introduction: The electrons in the d orbital of a transition metal split into high and low energy orbitals when ligands are attached to it. The energy difference between these two levels depends upon the properties of both metal and the ligands. If the ligand is strong, then splitting will be high and the complex will be low spin. If the ligand is weak, then splitting will be less and the complex will be high spin.

To determine: The standard electrode potential (Eο) for the given half reaction.

(a)

Expert Solution
Check Mark

Answer to Problem 91CP

Answer

The standard electrode potential (Eο) for the given reaction is -0.254V_ .

Explanation of Solution

Explanation

The given equations are,

Co+3+eCo+2Eο=1.82V (1)

Co2++3enCo(en)32+K=1.5×1012 (2)

Co3++3enCo(en)33+K2=2.0×1047 (3)

Where,

  • Eο is the standard electrode potential for equation (1).
  • K is the equilibrium constant of equation (2).
  • K2 is the equilibrium constant of equation (3).

The equilibrium constant (K1) for equation (1) is calculated by the formula,

logK1=nEο0.0591

Where,

  • K1 is the equilibrium constant of equation (1).
  • n is the number of electrons.

The value of n is 1 .

Substitute the value of n and Eο in the above formula.

logK1=1×1.820.0591logK1=30.79K1=6.165×1030

Now the equation (1) becomes,

Co+3+eCo+2K1=6.165×1030 (4)

To obtain the required half cell the equation (3) is reversed and added with equation (2) and equation (4). The overall reaction becomes,

Co(en)33++eCo(en)32+ (5)

The equilibrium constant (K3) for the above reaction is calculated as,

K3=1K2×K×K1

Substitute the values of K , K1 and K2 in the above formula.

K3=12×1047×1.5×1012×6.165×1030=4.7×105

The equlibrium constant for theequation (5) is calculated by the formula,

Eο=0.0591nlogK3

The value of n is 1 .

Substitue the values of n and K1 in the above equation.

Eο=0.05911log4.7×105=-0.254V_

Therefore, the standard electrode potential (Eο) for the given reaction is -0.254V_ .

(b)

Interpretation Introduction

Interpretation: The standard electrode potential (Eο) for the reaction and stronger oxidizing agent among Co+3 and Co(en)33+ is to be stated. An explanation on basis of the crystal field model corresponding to the fact that one of the given two ions is the stronger oxidizing agent is to be stated.

Concept introduction: The electrons in the d orbital of a transition metal split into high and low energy orbitals when ligands are attached to it. The energy difference between these two levels depends upon the properties of both metal and the ligands. If the ligand is strong, then splitting will be high and the complex will be low spin. If the ligand is weak, then splitting will be less and the complex will be high spin.

(b)

Expert Solution
Check Mark

Answer to Problem 91CP

Answer

The Co+3 is stronger oxidizing agent than Co(en)33+ .

Explanation of Solution

Explanation

The standard reduction potential, EοCo3+/Co2+ is 1.82V and the standard reduction potential, EοCo(en)33+/Co(en)32+ is 0.254V .

Since reduction potential of Co+3 is higher than Co(en)33+ , therefore it is stronger oxidizing agent than Co(en)33+ .

(c)

Interpretation Introduction

Interpretation: The standard electrode potential (Eο) for the reaction and stronger oxidizing agent among Co+3 and Co(en)33+ is to be stated. An explanation on basis of the crystal field model corresponding to the fact that one of the given two ions is the stronger oxidizing agent is to be stated.

Concept introduction: The electrons in the d orbital of a transition metal split into high and low energy orbitals when ligands are attached to it. The energy difference between these two levels depends upon the properties of both metal and the ligands. If the ligand is strong, then splitting will be high and the complex will be low spin. If the ligand is weak, then splitting will be less and the complex will be high spin.

To determine: The use to crystal field model to rationalise the result in part b.

(c)

Expert Solution
Check Mark

Answer to Problem 91CP

Answer

An explanation on basis of the crystal field model corresponding to the fact that Co+3 is the stronger oxidizing agent has been rightfully stated.

Explanation of Solution

Explanation

The oxidation state of both Co(H2O)63+ and Co(en)33+ is +3 ; since, ehtlenediammine is a neutral ligand.

The electronic configuration of Co is [Ar]3d74s2 . With the loss of three electrons, it comes in oxidation state of +3 with electronic configuration of [Ar]3d6 .

Cobalt ion form Co(H2O)63+ with water as follows:

Co3++6H2OCo(H2O)63+

Both Co(H2O)63+ and Co(en)33+ are octahedral complex but en is a strong field ligand while water is a weak field ligand. The six electrons will occupy t2g set of orbitals in Co(en)33+ complex while in case of Co(H2O)63+ complex, they will occupy both eg and t2g set of orbitals. Co(en)33+ complex have higher crystal field energy than Co(H2O)63+ , therefore Co(H2O)63+ can gain electrons more easily than Co(en)33+ . Therefore, Co+3 is a stronger oxidizing agent Co(en)33+ .

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 20 Solutions

Chemistry: An Atoms First Approach

Ch. 20 - Prob. 1ALQCh. 20 - Prob. 2ALQCh. 20 - Prob. 3ALQCh. 20 - Prob. 4ALQCh. 20 - Prob. 5QCh. 20 - Four different octahedral chromium coordination...Ch. 20 - Prob. 7QCh. 20 - Prob. 8QCh. 20 - Prob. 9QCh. 20 - Prob. 10QCh. 20 - Prob. 11QCh. 20 - Prob. 12QCh. 20 - Prob. 13QCh. 20 - Prob. 14QCh. 20 - Prob. 15QCh. 20 - Prob. 16QCh. 20 - Prob. 17QCh. 20 - Prob. 18QCh. 20 - Prob. 19QCh. 20 - Prob. 20QCh. 20 - Prob. 21ECh. 20 - Prob. 22ECh. 20 - Prob. 23ECh. 20 - Prob. 24ECh. 20 - Prob. 25ECh. 20 - Prob. 26ECh. 20 - Prob. 27ECh. 20 - Prob. 28ECh. 20 - Prob. 29ECh. 20 - Prob. 30ECh. 20 - Prob. 31ECh. 20 - A coordination compound of cobalt(III) contains...Ch. 20 - Prob. 33ECh. 20 - Prob. 34ECh. 20 - Prob. 35ECh. 20 - Prob. 36ECh. 20 - Prob. 37ECh. 20 - Give formulas for the following complex ions. a....Ch. 20 - Prob. 39ECh. 20 - Prob. 40ECh. 20 - Prob. 41ECh. 20 - Amino acids can act as ligands toward transition...Ch. 20 - Prob. 43ECh. 20 - Prob. 44ECh. 20 - Prob. 45ECh. 20 - Prob. 46ECh. 20 - Prob. 47ECh. 20 - Prob. 48ECh. 20 - Prob. 49ECh. 20 - Prob. 50ECh. 20 - Prob. 51ECh. 20 - Prob. 52ECh. 20 - The CrF64 ion is known to have four unpaired...Ch. 20 - Prob. 54ECh. 20 - Prob. 55ECh. 20 - The complex ion Fe(CN)63 is paramagnetic with one...Ch. 20 - Prob. 57ECh. 20 - Prob. 58ECh. 20 - Prob. 59ECh. 20 - Prob. 60ECh. 20 - The wavelength of absorbed electromagnetic...Ch. 20 - The complex ion NiCL42 has two unpaired electrons,...Ch. 20 - How many unpaired electrons are present in the...Ch. 20 - Prob. 64ECh. 20 - Prob. 65ECh. 20 - Prob. 66ECh. 20 - Prob. 67ECh. 20 - Prob. 68ECh. 20 - Silver is sometimes found in nature as large...Ch. 20 - Prob. 70ECh. 20 - Prob. 71AECh. 20 - The compound cisplatin, Pt(NH3)2Cl2, has been...Ch. 20 - Prob. 73AECh. 20 - Prob. 74AECh. 20 - Prob. 75AECh. 20 - Prob. 76AECh. 20 - Prob. 77AECh. 20 - Name the following coordination compounds. a....Ch. 20 - Prob. 79AECh. 20 - Prob. 80AECh. 20 - Carbon monoxide is toxic because it binds more...Ch. 20 - For the process Co(NH3)5Cl2++ClCO(NH3)4Cl2++NH3...Ch. 20 - Prob. 83CWPCh. 20 - Which of the following molecules exhibit(s)...Ch. 20 - Prob. 85CWPCh. 20 - Prob. 86CWPCh. 20 - Prob. 87CWPCh. 20 - Which of the following statement(s) is( are) true?...Ch. 20 - Prob. 89CPCh. 20 - Consider the pseudo-octahedral complex ion of...Ch. 20 - Prob. 91CPCh. 20 - Prob. 92CPCh. 20 - Prob. 93CPCh. 20 - Prob. 94CPCh. 20 - Prob. 95CPCh. 20 - Prob. 96CPCh. 20 - Prob. 97CPCh. 20 - Prob. 98IPCh. 20 - Prob. 99IPCh. 20 - Prob. 100IPCh. 20 - Prob. 101MP
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
    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
    Chemistry
    ISBN:9781133611097
    Author:Steven S. Zumdahl
    Publisher:Cengage Learning
  • Text book image
    Chemistry: Principles and Reactions
    Chemistry
    ISBN:9781305079373
    Author:William L. Masterton, Cecile N. Hurley
    Publisher:Cengage Learning
    Text book image
    General Chemistry - Standalone book (MindTap Cour...
    Chemistry
    ISBN:9781305580343
    Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
    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
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
Chemistry
ISBN:9781133611097
Author:Steven S. Zumdahl
Publisher:Cengage Learning
Text book image
Chemistry: Principles and Reactions
Chemistry
ISBN:9781305079373
Author:William L. Masterton, Cecile N. Hurley
Publisher:Cengage Learning
Text book image
General Chemistry - Standalone book (MindTap Cour...
Chemistry
ISBN:9781305580343
Author:Steven D. Gammon, Ebbing, Darrell Ebbing, Steven D., Darrell; Gammon, Darrell Ebbing; Steven D. Gammon, Darrell D.; Gammon, Ebbing; Steven D. Gammon; Darrell
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