Physical Chemistry
Electrolysis: Splitting Water With Electricity
Dip two inert electrodes into acidified water, connect a 2-volt battery, and within seconds you see it: fine bubbles streaming off both metal surfaces. Collect the gas and you find exactly twice as much on the cathode as on the anode — hydrogen and oxygen in a perfect 2:1 ratio, the water molecule taken apart atom by atom. That thin stream of bubbles is electricity doing chemical work: forcing a reaction that would never happen on its own, uphill against a ΔG of +237 kJ per mole of water.
Electrolysis is the use of an external electric current to drive a non-spontaneous redox reaction. It is the reverse of a battery — instead of a chemical reaction pushing electrons through a wire, a power supply pushes electrons to make a reaction go. From the aluminium in a soda can to the chlorine that disinfects tap water to green hydrogen for future steelmaking, electrolysis is how we bend chemistry to electrical will.
- Minimum cell voltage (water)1.23 V (thermoneutral 1.48 V)
- Gas ratio produced2 H₂ : 1 O₂ by volume
- Faraday constant96,485 C·mol⁻¹ e⁻
- ΔG to split 1 mol H₂O+237 kJ (non-spontaneous)
- DiscoveredNicholson & Carlisle, 1800
- Cathode = reductionAnode = oxidation
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What electrolysis actually is
Electrolysis is a process in which electrical energy forces a chemical reaction that will not occur by itself. The cell has three essential parts: two electrodes (conductors dipped into the mixture), an electrolyte (a liquid or molten substance that carries charge by moving ions), and a DC power supply that pumps electrons.
The naming trips people up because it is opposite to a battery. In an electrolytic cell, the electrode wired to the negative terminal of the supply is the cathode; electrons are shoved onto it, so it hands them to nearby species — this is reduction. The electrode on the positive terminal is the anode; electrons are pulled away from it, so it strips them off nearby species — this is oxidation. A handy memory: an ox (anode = oxidation), red cat (reduction = cathode). Positive ions (cations) migrate toward the cathode; negative ions (anions) migrate toward the anode. That ionic migration is the only way current crosses the solution — no electrons swim freely through the liquid.
The water-splitting reactions, step by step
Pure water barely conducts, so we add an electrolyte such as dilute sulfuric acid (H₂SO₄) or potassium hydroxide (KOH). In acid, the half-reactions are:
- Cathode (reduction): 4 H⁺ + 4 e⁻ → 2 H₂↑ — hydrogen ions grab electrons and bubble off as H₂ gas.
- Anode (oxidation): 2 H₂O → O₂↑ + 4 H⁺ + 4 e⁻ — water gives up electrons, releasing O₂ and returning H⁺ to solution.
- Overall: 2 H₂O → 2 H₂↑ + O₂↑
Count the atoms and the bubbles make sense: every four electrons make two H₂ molecules but only one O₂ molecule, so hydrogen appears at twice the volume of oxygen. The sulfate ions (SO₄²⁻) and, in alkaline cells, the K⁺ ions are spectators — they shuttle charge but are neither oxidized nor reduced, because splitting water is energetically easier than tearing apart those very stable ions. The electrolyte is consumed nowhere; only the water is used up, which is why you must top the cell with distilled water over time.
Voltage, overpotential, and why real cells run hot
Thermodynamics sets the floor. The reversible cell voltage for water splitting is 1.23 V at 25 °C, calculated from the standard potentials of the two half-reactions (O₂/H₂O at +1.23 V and H⁺/H₂ at 0.00 V, so E°cell = 0.00 − 1.23 = −1.23 V, meaning you must supply at least 1.23 V). Below this voltage, essentially nothing happens.
But no real cell works at 1.23 V. Both gas-forming reactions are sluggish; they need extra push called overpotential to go at a useful rate. Oxygen evolution is especially reluctant, adding several tenths of a volt. Add ohmic (resistive) losses in the electrolyte and you typically run commercial cells at 1.8–2.2 V. Interestingly, if you supply the thermoneutral voltage of 1.48 V, the electrical input exactly matches the total enthalpy of the reaction and the cell neither heats nor cools; above that, the excess energy shows up as waste heat. Choosing electrode materials that lower overpotential — platinum for hydrogen, iridium or nickel oxides for oxygen — is the central engineering challenge, and it is where catalysis meets electrochemistry.
Faraday's laws: counting atoms with a coulometer
Michael Faraday established in 1833 the quantitative backbone of the whole field. His two laws state that the amount of substance transformed is proportional to the electric charge passed, and that for a fixed charge, the masses of different elements produced stand in the ratio of their equivalent weights (molar mass divided by electrons transferred).
The linchpin is the Faraday constant, F = 96,485 coulombs per mole of electrons — the charge on one mole of electrons. The working equation is:
- n = Q / (z·F) = (I·t) / (z·F), where n is moles of product, Q is charge (current I × time t), and z is electrons per formula unit.
A concrete example: pass a current of 2.0 A for 1 hour (3,600 s) through acidified water. Charge Q = 2.0 × 3,600 = 7,200 C. Moles of electrons = 7,200 / 96,485 ≈ 0.0746 mol. Since each H₂ needs 2 electrons, you make 0.0373 mol H₂ ≈ 0.91 L at room temperature and pressure, and exactly half that volume of O₂. This predictive precision is why electrolysis underpins electroplating standards and even helped define the ampere historically.
Where electrolysis earns its keep
Electrolysis is one of industry's quiet giants:
- Aluminium (Hall–Héroult process): Aluminium oxide is so stable that no chemical reductant is cheap enough; instead, Al₂O₃ dissolved in molten cryolite is electrolyzed at ~950 °C. Every kilogram of aluminium costs roughly 13–15 kWh — this single process consumes several percent of global electricity.
- Chlor-alkali process: Electrolyzing brine (concentrated NaCl solution) yields chlorine gas at the anode, hydrogen at the cathode, and sodium hydroxide (caustic soda) in solution — three of the chemical industry's most important commodities from salt and water.
- Electroplating and electrorefining: Depositing chromium, gold, nickel, or zinc onto a cathode; copper is refined to 99.99% purity by electrolytic dissolution and redeposition.
- Green hydrogen: When the electricity comes from wind or solar, water electrolysis makes carbon-free H₂ for ammonia synthesis, steel reduction, and long-duration energy storage — the reverse of a hydrogen fuel cell.
Molten salts, purification, and product selection
Electrolysis works on melts as well as solutions. To win a reactive metal like sodium or magnesium, you electrolyze the molten salt (e.g., molten NaCl in the Downs cell) because in aqueous solution water is reduced in preference to Na⁺ — the sodium ion is simply too hard to reduce, so hydrogen would come off instead. This idea of competing electrode reactions is subtle: at each electrode, the species easiest to discharge wins, judged by electrode potential adjusted for overpotential and concentration.
Concentration matters through the Nernst equation: in concentrated brine, chloride is oxidized to Cl₂ even though water oxidation to O₂ has a lower standard potential, partly because oxygen evolution carries a large overpotential and partly because of the sheer abundance of Cl⁻. Change the electrolyte concentration and you can change the product — a lever that industrial chemists tune deliberately.
Common misconceptions
- "Electrolysis creates energy." It does the opposite — it stores electrical energy in chemical bonds. You always put in more energy than the products release when recombined; a fuel cell later gives back only part of it.
- "The electricity flows through the water as electrons." Inside the electrolyte, charge is carried entirely by moving ions. Electrons flow only through the external wires and electrodes; the ionic and electronic currents meet at the electrode surfaces, where the reactions happen.
- "Pure water electrolyzes fine." Ultrapure water is a poor conductor (resistivity ~18 MΩ·cm), so the reaction crawls. An electrolyte is needed to carry current — yet the electrolyte ions themselves usually are not consumed.
- "Anode is always negative." True for batteries, false here. In an electrolytic cell the anode is the positive electrode. Define electrodes by the reaction (oxidation = anode), not by sign, and you will never be confused.
- "You get exactly 1.23 V worth of gas." Overpotential and resistance mean you always pay a voltage premium; efficiency of real electrolyzers is typically 60–80% on a higher-heating-value basis.
| Property | Electrolytic cell | Galvanic cell |
|---|---|---|
| Reaction spontaneity | Non-spontaneous (ΔG > 0) | Spontaneous (ΔG < 0) |
| Energy flow | Consumes electrical energy | Produces electrical energy |
| Cathode polarity | Negative (−) | Positive (+) |
| Anode polarity | Positive (+) | Negative (−) |
| What happens at cathode | Reduction (gains e⁻) | Reduction (gains e⁻) |
| Everyday example | Aluminium smelting, chrome plating | AA battery, fuel cell |
Frequently asked questions
Why does hydrogen come off at twice the volume of oxygen?
Each water molecule (H₂O) contains two hydrogen atoms and one oxygen atom. Splitting two water molecules yields two H₂ molecules but only one O₂ molecule. By Avogadro's principle, equal numbers of gas molecules occupy equal volumes at the same temperature and pressure, so the hydrogen-to-oxygen volume ratio is exactly 2:1 — a direct visual confirmation of water's formula.
Why must you add acid or salt to electrolyze water?
Pure water contains very few ions (only about 10⁻⁷ mol·L⁻¹ each of H⁺ and OH⁻), so it barely conducts electricity and the reaction is agonizingly slow. Adding an electrolyte such as dilute H₂SO₄, KOH, or Na₂SO₄ supplies mobile ions that carry current through the solution. The added ions are usually spectators — only the water is actually split.
What is overpotential and why does it matter?
Overpotential is the extra voltage, beyond the thermodynamic minimum, needed to make an electrode reaction proceed at a practical rate. Gas-evolving reactions like oxygen evolution have large overpotentials because forming and releasing gas bubbles is kinetically slow. It matters because overpotential is wasted energy; better catalysts (platinum, iridium oxide, nickel) reduce it and raise efficiency, which is the main target of hydrogen-economy research.
How is electrolysis different from a battery?
They are mirror images. A battery (galvanic cell) runs a spontaneous reaction to produce electricity; electrolysis uses electricity to force a non-spontaneous reaction. In a battery the anode is negative and the cathode positive; in electrolysis the polarities flip. A rechargeable battery is literally a galvanic cell during discharge and an electrolytic cell while charging.
How much electricity does it take to make hydrogen by electrolysis?
Thermodynamically, splitting water needs at least the thermoneutral energy of about 39 kWh per kilogram of hydrogen (roughly 3.5 kWh per normal cubic metre). Real electrolyzers, running at 1.8–2.2 V because of overpotential and resistance, use closer to 50–55 kWh per kilogram at 60–80% efficiency. This energy cost is why green hydrogen becomes attractive only when renewable electricity is cheap.
Who discovered electrolysis?
William Nicholson and Anthony Carlisle first electrolyzed water in 1800, within weeks of Alessandro Volta announcing his battery. Humphry Davy soon used electrolysis to isolate sodium, potassium, and other reactive metals for the first time. Michael Faraday, Davy's protégé, then formulated the quantitative laws of electrolysis in 1833 and coined much of the vocabulary — electrode, anode, cathode, ion, and electrolyte.