Redox reactions, cell potential, and Faraday's laws
Electrochemistry links chemical reactions to electrical energy. In galvanic (voltaic) cells, spontaneous redox reactions generate electric current. Oxidation occurs at the anode (loses electrons); reduction at the cathode (gains electrons). Electrons flow through the external circuit; ions migrate through the salt bridge to maintain electrical neutrality. Standard reduction potentials (E°) are measured vs the standard hydrogen electrode (SHE). E°cell = E°cathode - E°anode; positive E° → spontaneous. ΔG = -nFE°cell. The Nernst equation adjusts for non-standard concentrations. Electrolytic cells use external voltage to drive non-spontaneous reactions: water splitting (2H₂O → 2H₂ + O₂), electroplating (Cu²⁺ + 2e⁻ → Cu at cathode), and chloralkali process. Faraday's law: mass deposited ∝ charge passed.
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Sign in →Electrochemistry connects spontaneous redox reactions to electrical energy. In a galvanic (voltaic) cell, a spontaneous oxidation-reduction reaction drives electron flow through an external circuit — the chemical energy of Zn dissolving and Cu²⁺ depositing produces a measurable voltage (E°cell = +1.10 V for the Zn-Cu pair). Cell potential is calculated from standard reduction potentials: E°cell = E°cathode − E°anode; a positive result confirms spontaneity (ΔG = −nFE°cell < 0). The Nernst equation adjusts E for non-standard concentrations. Electrolytic cells reverse the process: an external power source forces a non-spontaneous reaction such as water splitting or electroplating, consuming energy rather than generating it. This simulation lets you compare preset cell types, change ion concentrations and temperature, and watch electron flow and ion migration animate in real time.
MisconceptionGalvanic cells need an external power source, like a battery, to push the electrons.
CorrectGalvanic cells ARE the power source. A spontaneous redox reaction (ΔG < 0, E°cell > 0) generates its own electron flow. It is the electrolytic cell that requires an external voltage supply to drive a non-spontaneous reaction.
MisconceptionThe anode is always the positive terminal.
CorrectIn a galvanic cell the anode is the negative terminal — electrons produced by oxidation leave through it to the external circuit. In an electrolytic cell the anode is the positive terminal because the external source forces electrons in the reverse direction. Cell type determines anode polarity.
MisconceptionVoltage and current are the same thing — a higher voltage means more current.
CorrectVoltage (V) is electrical potential difference, a measure of energy per charge. Current (A) is the rate of charge flow. They are related by Ohm's law (V = IR), but they are distinct quantities. A cell can have a high E°cell yet deliver low current if the circuit resistance is high.
MisconceptionThe salt bridge lets electrons flow between the two half-cells.
CorrectElectrons travel through the external wire only. The salt bridge allows ions (typically K⁺ and NO₃⁻) to migrate between half-cells to maintain electrical neutrality as electrode reactions consume or produce ions. Without ion migration, charge would build up and the cell would stop.
MisconceptionA positive standard potential in one preset means every concentration and temperature setting will stay spontaneous.
CorrectE°cell describes standard conditions. The actual cell potential is E = E° − (RT/nF)ln Q, so strongly unequal ion concentrations or different temperatures can shift E away from E°. A galvanic setup is spontaneous only when the actual E remains positive.
Use E°cell = E°cathode − E°anode with standard reduction potentials. For the Zn-Cu preset: E°cell = (+0.34) − (−0.76) = +1.10 V. A positive E°cell means ΔG° = −nFE°cell is negative under standard conditions, confirming spontaneity. The species being oxidized is the anode half-reaction; the species being reduced is the cathode half-reaction.
The Nernst equation E = E° − (RT/nF)·ln Q adjusts cell potential for non-standard concentrations and temperature. In this simulation Q = [anode ions] / [cathode ions], so equal slider values give Q = 1 and E = E°. For the Zn-Cu preset with [anode ions] = 2.0 M, [cathode ions] = 0.01 M, and T = 298 K: Q = 200, E ≈ 1.10 − 0.068 = 1.03 V.
As Zn dissolves, the anode compartment accumulates Zn²⁺ ions (positive charge builds up). As Cu²⁺ deposits at the cathode, the cathode compartment loses positive charge. Without the salt bridge, this charge imbalance creates a voltage that opposes further electron flow and stops the cell. The salt bridge restores neutrality by allowing anions to migrate toward the anode and cations toward the cathode.
Electroplating is an electrolytic process: an external power supply forces metal cations to deposit onto a cathode surface. The external voltage must be large enough to drive the reverse, non-spontaneous reaction plus real-world losses. A galvanic cell releases electrical energy from a spontaneous redox reaction; an electrolytic setup consumes electrical energy to make a reaction happen.
AP 9.A.1 requires identifying oxidation and reduction half-reactions and balancing redox equations — practiced by comparing the preset half-reactions. AP 9.B.1 requires calculating E°cell and relating it to ΔG° = −nFE°cell — practiced with the live E°cell and ΔG° readouts. AP 9.C.1 requires applying the Nernst equation — practiced by varying anode ion concentration, cathode ion concentration, and temperature while recording E vs. Q.
Use Faraday's first law: m = MIt/(nF). Here M_Cu = 63.5 g/mol, I = 5.0 A, t = 1800 s, n = 2 electrons per Cu²⁺, F = 96 485 C/mol. m = (63.5 × 5.0 × 1800)/(2 × 96 485) ≈ 2.96 g. This is a common AP free-response calculation type.