The overall reaction and standard cell potential at 25°C for the rechargeable nickel-cadmium alkaline battery is For every mole of Cd consumed in the cell, what is the maximum useful work that can be obtained at standard conditions?

Q: Expert Answer

Interpretation Introduction Interpretation: The overall reaction and standard cell potential at 25 ° C for the rechargeable Nickel-Cadmium alkaline battery is given. The maximum useful work that can be obtained for every mole of Cadmium consumed at standard conditions is to be calculated. Concept introduction: Gibbs free energy is basically the maximum amount of non-expansion work done. Therefore, it is represented as, W max = Δ G ° The maximum amount of work that is done by an electrochemical cell is given as, W max = n F E ° cell The relationship between Gibbs free energy change and equilibrium constant is given by the formula, Δ G ° = − n F E ° cell The work is done by the system over the surroundings; therefore the work is taken as a negative term. To determine: The maximum useful work that can be obtained for every mole of Cadmium consumed at standard conditions. Explanation Given, The value of E ° cell is 1.10 V . The reaction taking place at cathode is, NiO 2 + 2 H 2 O + 2 e − → Ni ( OH ) 2 + 2 OH − The reaction taking place at anode is, Cd + 2 OH − → Cd ( OH ) 2 + 2 e − The overall reaction is, Cd ( s ) + NiO 2 ( s ) + 2 H 2 O ( l ) → Ni ( OH ) 2 ( s ) + Cd ( OH ) 2 ( s ) The reaction involves the transfer of 2 moles of electrons. The relationship between Gibbs free energy change and cell potential is given by the formula, Δ G ° = − n F E ° cell Where, Δ G ° is the Gibbs free energy change at the standard conditions. n is the number of moles of electrons that are involved in the reaction

Question

Still sussing out bartleby?

Answer 1

BuyFind

Chemistry: An Atoms First Approach

2nd Edition

Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781305079243

Solutions

Chapter

Section

Answer 2

BuyFind

Chemistry: An Atoms First Approach

2nd Edition

Steven S. Zumdahl + 1 other

Publisher: Cengage Learning

ISBN: 9781305079243

Solutions

Chapter

Section

Answer 3

Solutions

Chapter

Section

Answer 4

Chapter

Section

Answer 5

Interpretation Introduction

Interpretation:

The overall reaction and standard cell potential at 25 °C for the rechargeable Nickel-Cadmium alkaline battery is given. The maximum useful work that can be obtained for every mole of Cadmium consumed at standard conditions is to be calculated.

Concept introduction:

Gibbs free energy is basically the maximum amount of non-expansion work done. Therefore, it is represented as,

Wmax=ΔG°

The maximum amount of work that is done by an electrochemical cell is given as,

Wmax=nFE°cell

The relationship between Gibbs free energy change and equilibrium constant is given by the formula,

ΔG°=−nFE°cell

The work is done by the system over the surroundings; therefore the work is taken as a negative term.

To determine: The maximum useful work that can be obtained for every mole of Cadmium consumed at standard conditions.

Explanation of Solution

Given,

The value of E°cell is 1.10 V .

The reaction taking place at cathode is,

NiO2+2H2O+2e−→Ni(OH)2+2OH−

The reaction taking place at anode is,

Cd+2OH−→Cd(OH)2+2e−

The overall reaction is,

Cd(s)+NiO2(s)+2H2O(l)→Ni(OH)2(s)+Cd(OH)2(s)

The reaction involves the transfer of 2 moles of electrons.

The relationship between Gibbs free energy change and cell potential is given by the formula,

ΔG°=−nFE°cell

Where,

ΔG° is the Gibbs free energy change at the standard conditions.

n is the number of moles of electrons that are involved in the reaction

The overall reaction and standard cell potential at 25°C for the rechargeable nickel-cadmium alkaline battery is For every mole of Cd consumed in the cell, what is the maximum useful work that can be obtained at standard conditions?

Chemistry: An Atoms First Approach

Solutions

Chemistry: An Atoms First Approach

The overall reaction and standard cell potential at 25°C for the rechargeable nickel-cadmium alkaline battery is

For every mole of Cd consumed in the cell, what is the maximum useful work that can be obtained at standard conditions?

Explanation of Solution

Still sussing out bartleby?

The Solution to Your Study Problems

Chapter 17 Solutions

Additional Science Textbook Solutions