Chapter 2 · Introduction

Chapter 2 — Electrochemistry

Redox reactions move electrons. Make them move through a wire and you have a battery; push them backwards with a power supply and you have electrolysis. This chapter measures, predicts and puts to work both directions of that flow.

Your phone, a pacemaker, an electric scooter and the Mars rovers all run on the same trick: a chemical reaction that would happen anyway is split into two halves, so that its electrons have to travel through a circuit to get from one half to the other. Run the trick backwards and electricity drives chemistry instead. That is how aluminium, chlorine, sodium hydroxide and pure copper are made in millions of tonnes, how a car battery is recharged, and how a thin layer of gold ends up on a connector. Even the rust on a gate is electrochemistry, a tiny galvanic cell that nobody built on purpose.

The chapter starts with the galvanic cell and the standard electrode potentials that tell you which way electrons will flow and with what voltage. The Nernst equation then adds concentration, and the link $\Delta_{r}G^{\circ}=-nFE^{\circ}_{cell}$ turns a voltmeter reading into a Gibbs energy and an equilibrium constant. Next we look at how ions carry current through solutions: conductivity, molar conductivity and Kohlrausch's law, which together reveal how far a weak acid is ionised. Finally, electrolysis and Faraday's laws, the batteries and fuel cells of everyday life, and the electrochemistry of corrosion and its prevention.

Galvanic cells and E°→Nernst equation→ΔG°, K and EMF→Conductance and Kohlrausch's law→Electrolysis and Faraday's laws→Batteries, fuel cells, corrosion
QuestionKey relationSection
What voltage does a cell give at standard conditions?$E^{\circ}_{cell}=E^{\circ}_{R}-E^{\circ}_{L}$2.1
How does the voltage depend on concentration?$E_{cell}=E^{\circ}_{cell}-\tfrac{0.059}{n}\log Q$2.2
How is EMF linked to energy and equilibrium?$\Delta_{r}G^{\circ}=-nFE^{\circ}_{cell}$, $\ \log K=\tfrac{nE^{\circ}_{cell}}{0.059}$2.2
How well does a solution conduct, per mole?$\Lambda_{m}=\kappa/c$, $\ \Lambda_{m}^{\circ}=\nu_{+}\lambda_{+}^{\circ}+\nu_{-}\lambda_{-}^{\circ}$2.3
How much is made by electrolysis?$m=\dfrac{M\,I\,t}{nF}$2.4
🎯 By the end of this chapter you can…
  • describe a galvanic cell (anode, cathode, salt bridge, electron and ion flow), write and read cell notation, and use the standard hydrogen electrode and a table of $E^{\circ}$ values to find $E^{\circ}_{cell}$ and predict redox reactions;
  • use the Nernst equation for electrodes and cells, find pH or unknown concentrations from an EMF, and calculate $\Delta_{r}G^{\circ}$ and $K$ from $E^{\circ}_{cell}$;
  • measure and calculate resistance, conductivity, cell constant and molar conductivity, explain how they change with concentration for strong and weak electrolytes, and use Kohlrausch's law to find $\Lambda_{m}^{\circ}$, $\alpha$ and $K_{a}$;
  • apply Faraday's laws, predict the products of electrolysis of molten and aqueous electrolytes, and explain the working of dry, mercury, lead storage and nickel–cadmium cells and the hydrogen–oxygen fuel cell;
  • explain rusting as an electrochemical process and choose a method of preventing corrosion.
Teaser — One Cell, Two Directions

A Daniell cell ($E^{\circ}_{cell}=1.10\ \mathrm{V}$) is connected to an adjustable external voltage that opposes it. Below $1.10\ \mathrm{V}$ the cell wins: it discharges as a galvanic cell, zinc dissolves and copper deposits. At exactly $1.10\ \mathrm{V}$ nothing flows. Above $1.10\ \mathrm{V}$ the supply wins: the electrons are pushed backwards, the cell becomes an electrolytic cell and copper dissolves while zinc is deposited. Press Play to sweep the opposing voltage from $0$ to $2\ \mathrm{V}$.

0.50
net driving voltage—
at the zinc electrode—
at the copper electrode—
the cell is acting as—

See 2.1 Galvanic Cells and Electrode Potentials →

Sections in this chapter

✅ Before you start
This chapter builds directly on Class 11 Chemistry, Ch. 7 — Redox Reactions: oxidation numbers, balancing redox equations by the half-reaction method, and the first look at the Daniell cell and electrode potentials. You will also use Gibbs energy and the sign of $\Delta G$ (Class 11 Chemistry, Ch. 5 — Thermodynamics), and, from Class 11 Chemistry, Ch. 6 — Equilibrium, both equilibrium constants with $\Delta G^{\circ}=-2.303RT\log K$ and the ionic-equilibrium ideas of pH, weak acids and $K_{a}$. Concentration in $\mathrm{mol\,L^{-1}}$ is revised in 1.1 Types of Solutions, Concentration and Solubility. On the maths side you need base-10 logarithms and antilogarithms, scientific notation and straight-line graphs; from physics, Ohm's law $V=IR$ and the idea that charge = current × time.