Redox and oxidation numbers
Electrochemistry is redox put to work. A quick tool first: the oxidation number tracks electrons formally. It rises when a species is oxidised (loses electrons) and falls when reduced (gains them), which lets you spot redox even when no obvious electron transfer is visible. Uncombined elements are 0; simple ions equal their charge; oxygen is usually −2 and hydrogen +1.
Electrochemical (galvanic) cells
If a redox reaction is spontaneous, you can harness the electron flow as electricity — that is a galvanic (voltaic) cell, i.e. a battery. Separate the two half-reactions into two half-cells joined by a wire (for electrons) and a salt bridge (to complete the circuit and keep charge balanced).
Oxidation happens at the anode (electrons leave here — it is the negative terminal in a galvanic cell) and reduction at the cathode (positive terminal). Electrons flow through the external wire from anode to cathode. Note this is the reverse polarity of electrolysis, because here the reaction drives the current rather than the current driving the reaction.
Galvanic vs electrolytic — mind the polarity
Oxidation is always at the anode and reduction at the cathode in BOTH. But in a galvanic cell the anode is negative (the reaction pushes electrons out); in electrolysis the cathode is negative (the power supply pushes electrons in). Same electrode names, opposite signs.
Electrode potentials and the electrochemical series
Each half-cell has a tendency to be reduced, measured as its standard electrode potential (E°) against a hydrogen reference electrode (defined as 0 V). Listing these values gives the electrochemical series — essentially a quantitative reactivity series.
The cell voltage is the difference: E°cell = E°(cathode) − E°(anode). A positive E°cell means the reaction is spontaneous — the more positive, the more the reaction "wants" to go and the more voltage the cell delivers.
A worked example
A cell uses Zn²⁺/Zn (E° = −0.76 V) and Cu²⁺/Cu (E° = +0.34 V). Which is the anode, and what is the cell voltage?
- The more negative electrode is oxidised (anode): zinc, at −0.76 V.The species with the lower (more negative) E° gives up electrons more readily.
- Copper (+0.34 V) is reduced at the cathode.The more positive electrode is reduced.
- E°cell = E°(cathode) − E°(anode) = 0.34 − (−0.76) = 1.10 V.The difference of the two electrode potentials.
- E°cell is positive, so the reaction is spontaneous — this is the classic Daniell cell.Positive cell potential means the redox reaction proceeds on its own.
Zinc is the anode; the cell delivers +1.10 V, and the positive value confirms a spontaneous reaction.
Galvanic and electrolytic cells
Both kinds of cell involve redox at two electrodes, but they run in opposite directions. A galvanic (voltaic) cell uses a spontaneous reaction to produce electricity — as in a battery — with the more reactive metal as the negative electrode. An electrolytic cell does the reverse: it uses an external supply to force a non-spontaneous reaction, as in electrolysis or electroplating.
In both, oxidation happens at the anode and reduction at the cathode — but the electrode signs flip: the anode is negative in a galvanic cell and positive in an electrolytic one.
Using standard electrode potentials
Each half-cell has a standard electrode potential, E°, measured against the standard hydrogen electrode. A more positive E° means the species is more easily reduced (a better oxidising agent); a more negative E° means it is more easily oxidised. The cell voltage is the difference: E°cell = E°(cathode) − E°(anode), and a positive value means the reaction is feasible.
This lets you predict which metal displaces another, which way electrons flow, and whether a proposed redox reaction will actually happen.