Chapter 19, Problem 19.108QP

(a)

Interpretation Introduction

Interpretation:

$\text{1Ah =}\text{3600C}$ This has to be proved.

Concept Introduction:

The standard electrode potential of a cell ${\text{(E}}^{°}{}_{\text{cell}})$ is the difference in electrode potential of the cathode and anode.

${\text{E}}^{\text{°}}{}_{\text{cell}}={\text{E}}^{\text{°}}{}_{\text{cathode}}-{\text{E}}^{\text{°}}{}_{\text{anode}}$

The relation between Gibbs free energy and cell potential: The amount of energy in a system that can be converted into useful energy is defined as free energy in thermodynamics.

Free energy and the cell potential is related by the given equation.

  $\text{ΔG = -nFE}$

Where,

  $\text{ΔG}$ is the change in free energy

  $\text{n}$ is the number of electrons transferred

  $\text{F}$ is the Faraday constant $\text{(F}={\text{96500Cmol}}^{\text{-1}})$

  $\text{E}$ is the cell potential

The amount of electrical charge that is passing through a circuit depends upon the amount and time of the flow of current.  The electrical charge is measured in Coulomb.

  $\text{Q=}\frac{\text{I}}{\text{t}}$

Where,

  $\text{Q}$ is the charge in Coulomb

  $\text{I}$ is the current in Ampere

  $\text{t}$ is the time in second

Mole is the mass of the substance that is having Avogadro number of particles.  The number of moles of a given substance can be calculated by dividing its weight to molecular weight.

(b)

Interpretation Introduction

Interpretation:

The capacity of the battery has to be calculated.

Concept Introduction:

The standard electrode potential of a cell ${\text{(E}}^{°}{}_{\text{cell}})$ is the difference in electrode potential of the cathode and anode.

${\text{E}}^{\text{°}}{}_{\text{cell}}={\text{E}}^{\text{°}}{}_{\text{cathode}}-{\text{E}}^{\text{°}}{}_{\text{anode}}$

The relation between Gibbs free energy and cell potential: The amount of energy in a system that can be converted into useful energy is defined as free energy in thermodynamics.

Free energy and the cell potential is related by the given equation.

  $\text{ΔG = -nFE}$

Where,

  $\text{ΔG}$ is the change in free energy

  $\text{n}$ is the number of electrons transferred

  $\text{F}$ is the Faraday constant $\text{(F}={\text{96500Cmol}}^{\text{-1}})$

  $\text{E}$ is the cell potential

The amount of electrical charge that is passing through a circuit depends upon the amount and time of the flow of current.  The electrical charge is measured in Coulomb.

  $\text{Q=}\frac{\text{I}}{\text{t}}$

Where,

  $\text{Q}$ is the charge in Coulomb

  $\text{I}$ is the current in Ampere

  $\text{t}$ is the time in second

Mole is the mass of the substance that is having Avogadro number of particles.  The number of moles of a given substance can be calculated by dividing its weight to molecular weight.

(c)

Interpretation Introduction

Interpretation:

The capacity of the battery, standard cell potential and free energy change associated with the given cell reaction has to be calculated.

Concept Introduction:

The standard electrode potential of a cell ${\text{(E}}^{°}{}_{\text{cell}})$ is the difference in electrode potential of the cathode and anode.

${\text{E}}^{\text{°}}{}_{\text{cell}}={\text{E}}^{\text{°}}{}_{\text{cathode}}-{\text{E}}^{\text{°}}{}_{\text{anode}}$

The relation between Gibbs free energy and cell potential: The amount of energy in a system that can be converted into useful energy is defined as free energy in thermodynamics.

Free energy and the cell potential is related by the given equation.

  $\text{ΔG = -nFE}$

Where,

  $\text{ΔG}$ is the change in free energy

  $\text{n}$ is the number of electrons transferred

  $\text{F}$ is the Faraday constant $\text{(F}={\text{96500Cmol}}^{\text{-1}})$

  $\text{E}$ is the cell potential

The amount of electrical charge that is passing through a circuit depends upon the amount and time of the flow of current.  The electrical charge is measured in Coulomb.

  $\text{Q=}\frac{\text{I}}{\text{t}}$

Where,

  $\text{Q}$ is the charge in Coulomb

  $\text{I}$ is the current in Ampere

  $\text{t}$ is the time in second

Mole is the mass of the substance that is having Avogadro number of particles.  The number of moles of a given substance can be calculated by dividing its weight to molecular weight.