calculate the overpotential for the reduction of Zn* ions at a current density of 500 A/m? at a zinc cathode in a solution containing 1M Zn". Assume that the high- field approximation to the Butler-Volmer equation can be used and that 0.2 A/m? is the exchange current density for this reaction. Calculate the potential of the cathode assuming initially that the only reaction is the reduction of zinc ions. Calculate the current due to the reduction of H* at the cathode potential derived in (b) for a solution pH = 2. You can assume that the exchange current density for hydrogen evolution of 1 x 106 A/m? is proportional to the square root of the proton activity and that the high-field approximation can be used. Calculate the current efficiency for the deposition of zinc at pH 2 and 500 A/m?. Tafel slope Reaction Electrode E°, V Solution mv Am2 Zn2+ + 2e = Zn Zn -0.76 1M ZnSO, 40 0.2

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Chapter1: Chemical Foundations
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Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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calculate the overpotential for the reduction of Zn* ions at a current
density of 500 A/m? at a zinc cathode in a solution containing 1M Zn". Assume that the high-
field approximation to the Butler-Volmer equation can be used and that 0.2 A/m? is the
exchange current density for this reaction.
Calculate the potential of the cathode assuming initially that the only reaction is the reduction
of zinc ions.
Calculate the current due to the reduction of H* at the cathode potential derived in (b) for a
solution pH = 2. You can assume that the exchange current density for hydrogen evolution of
1 x 106 A/m? is proportional to the square root of the proton activity and that the high-field
approximation can be used.
Calculate the current efficiency for the deposition of zinc at pH 2 and 500 A/m?.
Tafel slope
Reaction
Electrode
E°, V
Solution
mv
Am2
Zn2+ + 2e = Zn
Zn
-0.76
1M ZnSO,
40
0.2
Transcribed Image Text:calculate the overpotential for the reduction of Zn* ions at a current density of 500 A/m? at a zinc cathode in a solution containing 1M Zn". Assume that the high- field approximation to the Butler-Volmer equation can be used and that 0.2 A/m? is the exchange current density for this reaction. Calculate the potential of the cathode assuming initially that the only reaction is the reduction of zinc ions. Calculate the current due to the reduction of H* at the cathode potential derived in (b) for a solution pH = 2. You can assume that the exchange current density for hydrogen evolution of 1 x 106 A/m? is proportional to the square root of the proton activity and that the high-field approximation can be used. Calculate the current efficiency for the deposition of zinc at pH 2 and 500 A/m?. Tafel slope Reaction Electrode E°, V Solution mv Am2 Zn2+ + 2e = Zn Zn -0.76 1M ZnSO, 40 0.2
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