Faraday's laws of electrolysis

Faraday's laws of electrolysis are quantitative relationships based on the electrochemical research published by Michael Faraday in 1833.

First law

Michael Faraday reported that the mass () of a substance deposited or liberated at an electrode during electrolysis is directly proportional to the charge (, for which the SI unit is the ampere-second or coulomb). passed through the electrolyte.

Here, the constant of proportionality, , is called the electro-chemical equivalent (ECE) of the substance. Thus, the ECE can be defined as the mass of the substance deposited or liberated per unit charge.

Second law

Faraday discovered that when the same amount of electric current is passed through different electrolytes connected in series, the masses of the substances deposited or liberated at the electrodes are directly proportional to their respective chemical equivalent/equivalent weight (). This turns out to be the molar mass () divided by the valence ()

The modern form of the second law is

where is the Faraday constant, is Avogadro's number and is the elementary charge. This form requires an understanding of chemical valence unavailable in Faraday's time.

Derivation

A monovalent ion requires one electron for discharge, a divalent ion requires two electrons for discharge and so on. Thus, if electrons flow, atoms are discharged.

Thus, the mass discharged is

where

• is the Avogadro constant;
• is the total charge, equal to the number of electrons () times the elementary charge ;
• is the Faraday constant.

Mathematical form

Faraday's laws can be summarized by

where is the molar mass of the substance (usually given in SI units of grams per mole) and is the valency of the ions .

For Faraday's first law, are constants; thus, the larger the value of , the larger will be.

For Faraday's second law, are constants; thus, the larger the value of (equivalent weight), the larger will be.

In the simple case of constant-current electrolysis, , leading to

and then to

where:

• is the amount of substance ("number of moles") liberated:
• is the total time the constant current was applied.

For the case of an alloy whose constituents have different valencies, we have

where represents the mass fraction of the th element.

In the more complicated case of a variable electric current, the total charge is the electric current integrated over time :

Here is the total electrolysis time.

Applications

• Electroplating – a process where a thin layer of metal is deposited onto the surface of an object using an electric current
• Electrochemical cells – generates electrical energy from chemical reactions
• Electrotyping – a process used to create metal copies of designs by depositing metal onto a mold using electroplating
• Electrowinning – a process that extract metals from their solutions using an electric current
• Electroforming – a process that deposits metal onto a mold or substrate to create metal parts
• Anodization – a process that converts the surface of a metal into a durable corrosion-resistant oxide layer
• Conductive polymers – organic polymers that conduct electricity
• Water electrolysis – a process that uses an electric current to split water molecules into hydrogen and oxygen gases
• Electrolytic capacitors – a type of capacitor that uses an electrolytic solution as one of its plates

See also

• Electrolysis
• Faraday's law of induction
• Tafel equation

References

Further reading

• Serway, Moses, and Moyer, Modern Physics, third edition (2005), principles of physics.
• Experiment with Faraday's laws