Concept explainers
(a)
Interpretation:
The
Concept Introduction:
Free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work. The free energy is represented by the letter
Where, n is the number of moles
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
Free energy and the cell potential is related by the given equation.
Where,
Nernst equation is one of the important equations in electrochemistry. In Nernst equation the electrode potential of a cell reaction is related to the standard electrode potential, concentration or activities of the species that is involved in the chemical reaction and temperature.
Where,
At room temperature
Ideal gas equation is an equation that is describing the state of a imaginary ideal gas.
Where,
(a)
Answer to Problem 19.123SP
The half cell reactions of the given cell,
The standard
Explanation of Solution
To record the given data
To write the half cell reactions and overall reaction
The half cell reactions are,
Overall reaction,
To find the
The of
To find the
Using the value of free energy and the number of electrons transferred the
On rearranging the equation we get,
(b)
Interpretation:
The
Concept Introduction:
Free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work. The free energy is represented by the letter
Where, n is the number of moles
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.
Where,
Nernst equation is one of the important equations in electrochemistry. In Nernst equation the electrode potential of a cell reaction is related to the standard electrode potential, concentration or activities of the species that is involved in the chemical reaction and temperature.
Where,
At room temperature
Ideal gas equation is an equation that is describing the state of a imaginary ideal gas.
Where,
(b)
Answer to Problem 19.123SP
The
Explanation of Solution
To record the given data
Partial pressure of oxygen
To calculate the
The
(c)
Interpretation:
The
Concept Introduction:
Free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work. The free energy is represented by the letter
Where, n is the number of moles
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.
Where,
Nernst equation is one of the important equations in electrochemistry. In Nernst equation the electrode potential of a cell reaction is related to the standard electrode potential, concentration or activities of the species that is involved in the chemical reaction and temperature.
Where,
At room temperature
Ideal gas equation is an equation that is describing the state of a imaginary ideal gas.
Where,
(c)
Answer to Problem 19.123SP
The energy density of the zinc electrode is found to be
Explanation of Solution
To record the given data
Amount of zinc
Molecular weight of zinc
To calculate the number of moles of zinc
Number of moles of zinc in
To calculate the energy density of zinc electrode
Free energy is the maximum amount of energy in the system that can be converted into useful work. Energy density can be obtained by multiplying the free energy value with the number of moles of zinc.
(d)
Interpretation:
The
Concept Introduction:
Free energy (Gibbs free energy) is the term that is used to explain the total energy content in a thermodynamic system that can be converted into work. The free energy is represented by the letter
Where, n is the number of moles
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.
Where,
Nernst equation is one of the important equations in electrochemistry. In Nernst equation the electrode potential of a cell reaction is related to the standard electrode potential, concentration or activities of the species that is involved in the chemical reaction and temperature.
Where,
At room temperature
Ideal gas equation is an equation that is describing the state of a imaginary ideal gas.
Where,
(d)
Answer to Problem 19.123SP
The amount of air supplied to the battery in each second is found to be
Explanation of Solution
To record the given data
Amount of current derived from the cell
To calculate the number of moles of electrons required for producing given amount of charge
Charge produced and the numbers of moles of electrons transferred are related by the following equation.
The number of moles of electrons transferred,
To calculate the number of moles of oxygen gas reduced by
From the equation for the cell reaction we have seen that
To calculate the volume of oxygen when the partial pressure is
The volume of oxygen at
To calculate the volume of air required at each second.
The volume of air required at each second is found as given below.
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