This definition arises directly from Faraday's Laws of Electrolysis and the relationship between the Faraday constant and chemical equivalents.
1. Faraday's Second Law:
The law states that when the same quantity of electricity is passed through different electrolytes, the masses of the substances deposited are proportional to their chemical equivalent weights ($E$).
2. Defining the Faraday ($1\text{F}$):
$1\text{ Faraday}$ ($96500\text{ C}$) is the charge carried by one mole of electrons.
3. Theoretical Relationship:
According to the formula $m = \frac{E \cdot Q}{96500}$:
If we pass exactly $Q = 96500\text{ C}$ (which is $1\text{F}$):
$$m = \frac{E \cdot 96500}{96500} = E$$
Therefore, the mass of the substance deposited by $1\text{ Faraday}$ of electricity is numerically equal to its