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A Lead-Acid Galvanic Cell Producing Electricity (discharging)
Discharge of a lead-acid cell:
- is a spontaneous redox reaction (E(redox) is positive)
- converts chemical energy stored in the lead, lead dioxide and sulfuric acid into electrical energy
Below is a diagram of a lead-acid cell during discharge:
anode (-)
cathode (+)
e- →
electrolyte
|
At the anode during discharge:
- Electrode: spongy lead, Pb(s) in a lead frame (porous lead plate)
Oxidation occurs ar the anode.
- Lead is oxidized at the anode:
Pb(s) → Pb2+(aq) + 2e-
- Pb2+ reacts with SO42- in sulfuric acid to produce PbSO4(s) as a precipitate:
Pb2+(aq) + SO42-(aq) → PbSO4(s)
PbSO4(s) sticks to the lead frame of the anode.
- The overall reaction at the anode is
Pb(s)+ SO42-(aq) → PbSO4(s)+ 2e-
- Electrons are produced at the anode.
- Anode is negative.
- Electrons migrate from anode (-) to cathode (+) along wires connecting the electrodes.
At the cathode during discharge:
- Electrode: lead frame covered with lead dioxide, PbO2(s)
- Reduction occurs at the cathode.
- Lead in lead dioxide is reduced at the cathode by protons from the sulfuric acid:
PbO2(s) + 4H+(aq) + 2e- → Pb2+(aq) + 2H2O(l)
- Pb2+ reacts with SO42- in sulfuric acid to produce PbSO4(s) as a precipitate:
Pb2+(aq) + SO42-(aq) → PbSO4(s)
PbSO4(s) sticks to the lead frame of the cathode.
- The overall reaction at the cathode is
PbO2(s) + 4H+(aq) + 2e- + SO42-(aq) → PbSO4(s) + 2H2O(l)
- Electrons are consumed at the cathode.
- Cathode is positive.
- Protons, H+(aq), are consumed at the cathode.
Wen can use the oxidation reaction at the anode and the reduction reaction that occurs at the cathode to write an overall redox equation for the lead-acid cell:
anode reaction: |
Pb(s) + SO42-(aq) |
→ |
PbSO4(s)+ 2e- |
|
cathode reaction: |
PbO2(s) + 4H+(aq) + SO42-(aq) + 2e- |
→ |
PbSO4(s) + 2H2O(l) |
|
|
|
|
overall reaction: |
Pb(s) + PbO2(s) + 4H+(aq) + 2SO42-(aq) |
→ |
2PbSO4(s) + 2H2O(l) |
E ≈ +2 V |
As the lead-acid cell discharges:
- PbSO4 precipitates out and deposits on both the anode and the cathode.
- H+ from the electrolyte (H2SO4(aq)) is being used to produce water at the cathode.
- Concentration of H+ will be decreased over time (concentration of H2SO(aq) decreases).
- pH of the electrolyte (H2SO4(aq)) will increase.
Connecting lead-acid galvanic cells in a series to make lead-acid batteries allows us to make batteries with voltages greater than 2 V:
number of cells in series |
2 |
3 |
4 |
5 |
6 |
approximate voltage produced |
2 × 2 = 4 V |
3 × 2 = 6 V |
4 × 2 = 8 V |
5 × 2 = 10 V |
6 × 2 = 12 V |
Recharging a Lead-Acid Galvanic Cell
Recharging a lead-acid cell:
- is a non-spontaneous redox reaction (E(redox) is negative), that is, an electrolytic process
- requires an input of slightly more than 2 volts per cell to drive the spontaneous reactions in the reverse direction
- converts electrical energy back into chemical energy which is stored in the lead, lead dioxide and sulfuric acid in the cell
The diagram below shows a lead-acid cell during recharge:
cathode (-)
anode (+)
← e-
electrolyte
|
At the cathode during recharge:
At the anode during recharge:
Using the half-equations for the reactions occuring at the anode and cathode we can write an overall redox reaction for the lead-acid cell during recharge:
cathode reaction: |
PbSO4(s)+ 2e- |
→ |
Pb(s) + SO42-(aq) |
|
anode reaction: |
PbSO4(s) + 2H2O(l) |
→ |
PbO2(s) + 4H+(aq) + SO42-(aq) + 2e- |
|
|
|
|
overall reaction: |
2PbSO4(s) + 2H2O(l) |
→ |
Pb(s) + PbO2(s) + 4H+(aq) + 2SO42-(aq) |
E ≈ -2 V |
As the lead-acid cell recharges:
- PbSO4(s) on each electrode is removed.
- Concentration of H+ increases.
- pH of the electrolyte (H2SO4(aq)) decreases.
Recharging a lead-acid battery requires a minimum of 2 V per cell:
number of cells in series |
2 |
3 |
4 |
5 |
6 |
recharge voltage required |
> 4 V |
> 6 V |
> 8 V |
> 10 V |
> 12 V |
Overcharging a battery electrolyzes water, producing hydrogen gas and oxygen gas.
The bubbles of gas degrade the surfaces of the electrodes causing the PbSO4(s) to fall off the electrodes.
This reduces the capacity of the cell.