Topic 16 · page 3 of 19

From a reaction to a cell

Split a redox reaction into two half-cells and the electrons have to travel through a wire, so you can measure a voltage. Standard electrode potential is that voltage for one half-cell, under fixed conditions.

13 min read16.216.3(i)16.3(ii)16.3(iii)

Read first: Building redox equations

One beaker or two 16.2

Put a zinc strip into blue copper(II) sulfate solution and the reaction happens at once. Copper coats the zinc, the blue fades, and the solution warms up slightly.

Zn(s)+CuX2+(aq)→ZnX2+(aq)+Cu(s) \ce{Zn(s) + Cu^2+(aq) -> Zn^2+(aq) + Cu(s)}

Electrons jump straight from zinc atoms to copper(II) ions. The energy is released mainly as heat, which is no use for electrical work.

Now split the same chemistry into two beakers. Each half-cell holds one half-equation:

ZnX2+(aq)+2 eX−⇌Zn(s) \ce{Zn^2+(aq) + 2e- <=> Zn(s)}
CuX2+(aq)+2 eX−⇌Cu(s) \ce{Cu^2+(aq) + 2e- <=> Cu(s)}

The electrons now have nowhere to go except along the wire joining the two metals, so they do electrical work on the way. The two solutions must also be connected, or charge would build up and stop the current. A salt bridge does this: ions move through it, but the solutions do not mix.

A zinc strip in zinc sulfate solution and a copper strip in copper(II) sulfate solution, joined by a salt bridge and by wires through a voltmeter reading +1.10 V. Electrons flow from zinc to copper.
A zinc-copper cell. Zinc is oxidised, so it is the negative electrode; copper is reduced, so it is the positive electrode.

The voltmeter reads about 1.10 V. Zinc becomes thinner, so zinc is being oxidised: it is the negative electrode. Copper is being reduced: it is the positive electrode. Electrons leave the cell from the negative electrode.

Standard electrode potential 16.2

There are hundreds of useful redox couples. Building every possible pair would be endless, so chemists measure each one once, against one fixed reference, and list the results. For any new pair you then look up two numbers.

The next page describes the standard hydrogen electrode. Here you only need to know that it is the fixed reference.

The sign of E⊖E^\ominus is the polarity of the half-cell compared with the hydrogen electrode:

A couple is named with the oxidised form first: Cu²⁺/Cu, Zn²⁺/Zn, Fe³⁺/Fe²⁺.

Standard conditions 16.3(i)16.3(ii)16.3(iii)

An electrode potential depends on how much of each species is present, so it only means something if the conditions are fixed. They are:

Condition Standard value Spec point
temperature 298 K 16.3(i)
pressure of any gases 100 kPa 16.3(ii)
concentration of ions 1.00 mol dm⁻³ 16.3(iii)

Pure solids such as copper or zinc strips need no stated concentration, and a solution with no gas needs no pressure. A half-cell that has a gas, such as the hydrogen electrode, needs all three.

Worked exampleReading the sign of a standard electrode potential

A half-cell X is joined to a standard hydrogen electrode. The voltmeter reads 0.80 V, and the X electrode is the positive terminal. What is E⊖E^\ominus for X?

  1. The X electrode is positive compared with hydrogen.
  2. A positive electrode compared with hydrogen has a positive E⊖E^\ominus.
  3. E⊖E^\ominus = +0.80 V. This is the value for Ag⁺/Ag.

Check yourself

  1. Why does zinc in copper(II) sulfate solution not give an electric current when the two are in one beaker?
  2. What is the job of the salt bridge?
  3. Define standard electrode potential.
  4. State the three standard conditions for measuring an electrode potential.
  5. A half-cell is joined to a standard hydrogen electrode and is the negative terminal. Is its E⊖E^\ominus positive or negative? Explain.

Answers cover these until you have tried the questions

  1. The electrons pass directly from zinc atoms to copper(II) ions at the surface of the zinc. They do not travel through a wire, so the energy is released as heat instead of electrical work.
  2. It lets ions move between the two solutions, so charge does not build up, and the circuit is completed. It does this without letting the solutions mix.
  3. The emf of a cell made from the half-cell and a standard hydrogen electrode, measured under standard conditions.
  4. 298 K, 100 kPa pressure of any gases, 1.00 mol dm⁻³ concentration of ions.
  5. Negative. A half-cell that is the negative electrode compared with hydrogen has a negative E⊖E^\ominus, like zinc at −0.76 V.