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Electrochemistry.

Dip two different metals in salt solutions, join them with a wire, and a current flows. Where does that voltage come from, and why does it sag?

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01 / The experiment

Two metals. One wire. A voltage.

Swap the left metal and watch the meter, then turn the load down to a short circuit and look inside at the ions.

Still of the Electrochemistry 3D scene, which explores: Where does a battery's voltage come from?
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Standard conditions, solutions of 1 mol per litre at 25 °C, so the cell's voltage with no current drawn is the difference between the two metals' standard electrode potentials. The cell is taken to have a fixed internal resistance of 10 Ω.Ions and atoms are drawn billions of times larger than they are and far fewer of them, and their number is held steady, so an ion that plates out reappears elsewhere in its beaker. The marching electrons stand for the current, not the motion of any one electron. A real cell drifts from these numbers as its solutions change, and magnesium also fizzes slowly in water on its own.

02 / Three cells

The gap sets the voltage.

Copper on the right every time, a different metal on the left. The meter is wired the same way in all three.

A wide gap
+2.71Mg −Cu +

Magnesium and copper

Magnesium lets go of its electrons far more readily than copper, so the push round the circuit is big.

Dissolves (anode)
Magnesium
Plates out (cathode)
Copper
Meter, no current
+2.71 V
The Daniell cell
+1.10Zn −Cu +

Zinc and copper

The classic cell. Zinc dissolves as zinc ions, copper ions settle on the copper strip, and the meter reads about a volt.

Dissolves (anode)
Zinc
Plates out (cathode)
Copper
Meter, no current
+1.10 V
The roles swap
−0.46Ag +Cu −

Silver and copper

Silver holds its electrons tighter than copper. Now copper is the one that dissolves, and the electrons flow the other way.

Dissolves (anode)
Copper
Plates out (cathode)
Silver
Meter, no current
−0.46 V
The big idea

A cell's voltage is the difference in how readily its two metals give up electrons. The keener metal dissolves, and its electrons go round the outside to the other.

E = E°₊ − E°₋

Two metals and a wire

Stand a strip of zinc in a solution of zinc sulfate, a strip of copper in blue copper sulfate, and join the two beakers with a tube of salty jelly. Nothing happens until you connect the metals with a wire. Then a current flows, and a meter in the wire reads about one volt. You have built a galvanic cell, a version of the cell John Daniell built in 1836 to power telegraphs, and the ancestor of every battery since.

Electrochemistry is the study of reactions that move electrons from one substance to another along a path you can put a wire in. Normally, when zinc meets copper ions, the electrons jump straight across where they touch and the energy turns into heat. A cell keeps the two partners apart, so the only way for the electrons to get from one to the other is round the outside, through whatever you have connected: a meter, a motor, a phone.

Some metals let go of electrons more easily

Every metal holds on to its outer electrons with its own grip. Zinc lets go more easily than copper does. In the left beaker zinc atoms leave their two outer electrons in the strip and drift into the solution as zinc ions, Zn²⁺. That is oxidation, the loss of electrons, and the strip where it happens is the anode. The abandoned electrons crowd the zinc strip and make it the negative terminal.

In the right beaker copper ions, Cu²⁺, take up electrons arriving through the wire and settle on the copper strip as copper atoms. That is reduction, the gain of electrons, and that strip is the cathode, the positive terminal. Overall, zinc dissolves and copper plates out:

Zn + Cu²⁺ → Zn²⁺ + Cu

The cell’s voltage measures how much more readily one metal gives up electrons than the other. Chemists list each metal’s tendency as a standard electrode potential, in volts, measured against a reference electrode made with hydrogen. Copper’s is +0.34 V and zinc’s is −0.76 V, so a zinc–copper cell gives 0.34 − (−0.76) = 1.10 V.

Try it: change the Left metal. Magnesium against copper gives about 2.7 V, iron about 0.8 V, lead under half a volt. Then choose Silver: silver holds its electrons tighter than copper, so the roles swap. Copper dissolves, silver plates out, and the meter, still wired the same way, reads negative.

Back to the experiment

Show ions and electrons: ions and electrons

Choose On under Show ions and electrons and the solutions fade. Each time a pair of electrons sets off along the wire, an atom leaves the anode’s face as an ion, and on the cathode an ion arrives, takes two electrons and stays as a metal atom. The faster the electrons march along the leads, the faster this happens: the current in the wire and the reaction in the beakers are the same thing, counted in different places.

That would quickly stop on its own. The left beaker would fill with extra positive zinc ions and the right beaker would lose positive copper ions, and the charge building up in each would hold the reaction back. The salt bridge prevents that. It is a tube of gel made with a salt such as potassium nitrate, and its ions drift out into the beakers: negative nitrate ions towards the anode’s side, positive potassium ions towards the cathode’s. Electrons carry the current through the wire; ions carry it through the solutions and the bridge.

Why the voltage sags under load

A cell is not a perfect source of voltage. Its ions have to push through the solutions and the bridge, and that path has a resistance of its own, called the internal resistance. In this cell it is taken as 10 Ω. The current is set by the whole circuit:

current = cell voltage ÷ (load resistance + internal resistance)

With a large load resistance only a trickle of current flows, hardly any voltage is lost inside, and the meter reads close to the full 1.10 V. Lower the load and more current flows, but more of the voltage is spent inside the cell. At a short circuit the meter reads zero: all the cell’s voltage goes on driving current through itself, and it simply warms up.

Try it: slide Load resistance up to 500 Ω and read the meter, then down to 50 Ω, 5 Ω and 0 Ω. The voltage falls as the current rises. The load gets the most power when its resistance equals the cell’s own, 10 Ω.

Back to the experiment

This is why a torch battery that reads 1.5 V on a meter can show much less while it lights a bright bulb, and why a flat battery’s voltage seems fine until you ask it for current.

Cells, batteries, rust and electroplating

Stack cells in series and their voltages add, which is how a battery got its name: a battery of cells. Modern batteries swap the beakers and bridge for pastes and thin separators, and choose pairs of materials with a big difference in potential, such as lithium against a metal oxide in a lithium-ion cell.

The same reactions run in reverse when you push current the other way. That is electrolysis: it charges a rechargeable battery, coats steel with zinc or chrome by electroplating, refines copper and makes aluminium. And they run uninvited when two metals touch in wet, salty conditions: a steel bolt in a copper fitting corrodes far faster than either alone, because the pair makes a small cell with the iron as the anode. Ships carry blocks of zinc or magnesium bolted to their hulls for this reason; those dissolve instead of the steel.

What this model leaves out

The cell keeps its standard voltage for ever, but a real one changes as it runs: zinc ions build up, copper ions run out, and the voltage creeps down. The internal resistance is a single fixed number, while in a real cell it depends on the strength of the solutions, the temperature and how much of the electrodes is wet. Pulling a large current also makes the voltage sag in ways a resistance alone does not describe, as ions near each strip are used up faster than they can be replaced. The salt bridge here never runs out of ions. And standard potentials describe metals in solutions of their own ions at 1 mol per litre; magnesium in particular reacts with water by itself, and a real magnesium–copper cell gives less than its 2.7 V.

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04 / Learn this in a course

Practise it, step by step.

These 2 lessons teach the topic with checked questions, in course order.

  1. Oxidation and reduction Chemistry · Redox and electrochemistry
  2. Galvanic cells Chemistry · Redox and electrochemistry