Chemistry 2e · Electrochemistry

Batteries and Fuel Cells

7 min read
Want it in plain words first? Jump to Eli explains — the same idea, no jargon.
On this page 9 sections
  1. In 30 seconds
  2. Why this matters
  3. The college version
  4. Eli explains
  5. Worked example
  6. Key takeaway
  7. Check yourself
  8. Study tools
  9. Sources & references

In 30 seconds

A battery is one or more galvanic cells packaged so that the spontaneous redox reaction drives electrons through an external circuit on demand. This topic surveys the chemistries inside the batteries you actually use — dry cells, alkaline cells, lead–acid batteries, lithium-ion batteries, and nickel–cadmium cells — and then contrasts them with fuel cells, which generate electricity continuously from externally supplied fuels such as hydrogen. For each system you should be able to write the half-reactions, identify anode and cathode, and explain why the design choices (, electrodes, rechargeability) follow from the chemistry.

Why this matters

Electrochemistry's most visible products are batteries: they start cars, power phones and laptops, and enable everything from pacemakers to grid-scale energy storage. Understanding the half-reactions tells you why a lead–acid cell delivers about 2 V while a lithium-ion cell delivers about 3.6 V, why some batteries recharge and others do not, and why fuel cells are being developed for vehicles and spacecraft. These same concepts drive decisions about battery disposal, recycling, and safety — for example, why alkaline cells can leak, why lithium cells must never be punctured, and why hydrogen fuel is stored with care.

The college version

Core Concepts

Primary vs. secondary batteries

A performs its redox reaction once and is discarded when the reactants are exhausted (the reaction is not practically reversible). A is rechargeable: applying an external voltage drives the reverse reaction, regenerating the original reactants. The distinction is purely about reversibility of the chemistry, not size — a tiny hearing-aid cell can be primary, while a car battery is secondary.

The dry cell and the alkaline battery

The classic (Leclanché cell) uses a zinc can as the anode, a graphite rod surrounded by manganese dioxide as the cathode, and a moist paste of ammonium chloride as the electrolyte. The zinc oxidizes (Zn → Zn2+ + 2e-), and MnO₂ is reduced. The replaces the acidic paste with potassium hydroxide, which slows corrosion of the zinc and lets the cell deliver higher current for longer; it delivers roughly 1.5 V. Because the zinc in an alkaline cell corrodes far more slowly, alkaline cells last longer on the shelf and are the modern replacement for dry cells.

Lead–acid batteries: the workhorse

A (used in nearly every car) is a set of six secondary cells in series, each delivering about 2 V, for a nominal 12 V. In each cell, the anode is spongy lead and the cathode is lead dioxide, both immersed in sulfuric acid:

Anode: Pb(s) + SO42-(aq) → PbSO4(s) + 2e-   Cathode: PbO2(s) + SO42-(aq) + 4H+(aq) + 2e- → PbSO4(s) + 2H2O(l)

Both electrodes produce solid lead sulfate on discharge, and recharging reverses both reactions. The sulfuric acid is consumed and water is produced as the battery discharges, which is why a discharged battery has a lower acid concentration (measurable as a lower specific gravity).

Lithium-ion batteries

Lithium-ion cells store energy by shuttling Li⁺ ions between a graphite anode and a metal-oxide cathode (often lithium cobalt oxide). There is no lithium metal inside — the ions intercalate into solid host structures — which is why they are called lithium-ion, not lithium-metal, batteries. They deliver roughly 3.6 V per cell, much higher than lead–acid, and have high energy density, making them the standard for portable electronics and electric vehicles. Their chemistry is highly energetic: damage, overcharging, or manufacturing defects can release that energy as heat and fire, which is why lithium-ion cells carry strict safety requirements.

Fuel cells: batteries that refuel

A is a galvanic cell in which the reactants are supplied continuously from outside. The classic hydrogen–oxygen fuel cell oxidizes hydrogen at the anode and reduces oxygen at the cathode:

Anode: 2H2(g) → 4H+(aq) + 4e-   Cathode: O2(g) + 4H+(aq) + 4e- → 2H2O(l)

The only product is water, which is why hydrogen fuel cells powered spacecraft life-support systems and are being developed for vehicles. Fuel cells are not "used up" like primary batteries — they keep working as long as fuel and oxidant are supplied — but they face practical hurdles: storing hydrogen safely, the cost of catalysts (often platinum), and the energy cost of producing the hydrogen in the first place.

Common Confusions

Do Not ConfuseWithDifference
Primary batterySecondary batteryPrimary runs once; secondary reverses on recharging
Dry cellAlkaline cellSame electrode pair, different electrolyte (acidic paste vs. KOH)
Anode sign in a batteryAnode sign in an electrolytic cellIn a battery the anode is negative (it is oxidized); electrolysis flips the sign
"12-volt" batteryA single 12 V cellIt is six ~2 V lead–acid cells wired in series
Lithium-ion batteryLithium-metal batteryLi-ion stores Li⁺ in host materials; lithium-metal cells use metallic lithium (much more reactive)
Fuel cellBatteryA fuel cell needs a continuous fuel supply; a battery stores its reactants internally
Eli, the EliExplains learning guide

Eli explains

The same idea, in plain words

Explain it like I’m 10

A battery is like a juice box of electricity: the chemical "juice" inside makes electricity flow, and when the juice is gone, the box is empty (primary) — or you can refill it by plugging it in (secondary). A fuel cell is more like a straw with a faucet: as long as you keep pouring in hydrogen and oxygen, electricity keeps coming out, and the only waste is water. Different batteries use different "juices," which is why some give 1.5 V and others give 12 V.

Worked example

Worked Example 1 — Voltage of a lead–acid cell. Using standard reduction potentials, E°(PbO2/PbSO4) = +1.69 V and E°(PbSO4/Pb) = -0.36 V:

E°cell = E°cathode - E°anode = 1.69 V - (-0.36 V) = 2.05 V

Six such cells in series give 6 × 2.05 = 12.3 V — the familiar "12-volt" car battery (rated nominally at 12 V).

Worked Example 2 — Energy released by a hydrogen fuel cell. For the H₂/O₂ cell, E°cell = 1.23 V and n = 4 moles of electrons per mole of O₂:

ΔG°= -nFE°cell = -(4 mol e-)(96,485 Cmol e-)(1.23 V) = -4.75 × 105 J = -475 kJ

per mole of O₂ consumed. The large negative ΔG° confirms the reaction is strongly spontaneous — the same driving force a combustion engine gets from burning hydrogen, but captured directly as electricity instead of heat.

Key takeaways

  • Primary batteries run once; secondary batteries are rechargeable because their redox reactions are reversible.
  • Dry cell: Zn anode, MnO₂ cathode, acidic paste; alkaline cell: same idea but KOH electrolyte, ~1.5 V, longer life.
  • Lead–acid: Pb/PbO₂ in H₂SO₄; about 2 V per cell, six cells in series ≈ 12 V; both electrodes make PbSO₄ on discharge.
  • Lithium-ion cells deliver ~3.6 V and high energy density; Li⁺ shuttles between intercalation hosts — no lithium metal.
  • Fuel cells are continuously fed; the H₂/O₂ cell produces only water, E°cell = +1.23 V.
  • Cell voltage adds when cells are wired in series; a 12 V lead–acid battery is six ~2 V cells.
  • Battery safety follows from the chemistry: corrosive electrolytes, flammable or energetic materials, and hydrogen gas all demand respect.

Check yourself

5 review questions from the chapter. Try each one, then open the answer.

  1. Why is an alkaline battery called "alkaline," and what advantage does that give it over a dry cell?

    Show answer

    Its electrolyte is potassium hydroxide (a base). KOH slows zinc corrosion, giving longer shelf life and higher usable current than the acidic ammonium-chloride paste of a dry cell.

  2. Write the two half-reactions of a lead–acid cell and state why the acid concentration falls during discharge.

    Show answer

    Anode: Pb + SO₄²⁻ → PbSO₄ + 2e⁻; cathode: PbO₂ + SO₄²⁻ + 4H⁺ + 2e⁻ → PbSO₄ + 2H₂O. Discharge consumes H₂SO₄ and produces water, so the acid becomes more dilute.

  3. Roughly how many volts does one lead–acid cell deliver, and how does a car get 12 V?

    Show answer

    About 2.05 V per cell; six cells wired in series give roughly 12 V.

  4. Why must lithium-ion batteries be handled and charged with care?

    Show answer

    Their chemistry stores a great deal of energy; puncturing, overcharging, or defective cells can release it as fire or explosion.

  5. What are the two products of a hydrogen–oxygen fuel cell, and why was it used on spacecraft?

    Show answer

    Electricity and water (plus heat). Water is harmless and drinkable, making the H₂/O₂ fuel cell ideal for spacecraft life support.

Keep learning

Ready to build on this? Continue to the next lesson.

Study tools & related lessonsKey vocabulary · Related

Key vocabulary

Primary battery
A cell whose reaction runs once and cannot be recharged
Secondary battery
A rechargeable cell whose reaction can be reversed
Dry cell
Leclanché cell with a paste electrolyte and Zn anode
Alkaline battery
Dry-cell chemistry with KOH electrolyte
Lead–acid battery
Pb/PbO₂ secondary cell in sulfuric acid
Lithium-ion battery
Cell that shuttles Li⁺ between intercalation hosts
Fuel cell
Galvanic cell fed continuously with reactants
Electrolyte
The ion-conducting medium between electrodes

Sources & references

  1. openstax.org — Chemistry 2e

This lesson was adapted from the open educational references above; their licenses and attributions are preserved. See Copyright & Licensing.

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