Chemistry > Electrochemistry > 13.0 Laws of Electrolysis

  Electrochemistry
    1.0 Introduction
    2.0 Conductors and Non-Conductors
    3.0 Electrochemical Cells
    4.0 Electrolysis and electrode Reactions
    5.0 Electrochemical Cell
    6.0 Electrode Potential
    7.0 Nature of Electrodes
    8.0 IUPAC Cell Representation and Convention
    9.0 Standard Cell EMF and Standard Reduction Potential
    10.0 Electropositive Character of Metals
    11.0 Difference between EMF and potential difference
    12.0 Nernst Equation
    13.0 Laws of Electrolysis
    14.0 Electromotive Force
    15.0 Thermodynamics of the Cells
    16.0 Concentration Cells
    17.0 Battery
    18.0 Fuel Cell

13.2 Farady's Second Law
When same amount of electricity is passed through different electrolytes, the masses of different ions deposited or liberated at the electrolytes are directly proportional to electrochemical equivalent( or equivalent weights). Suppose ${W_1}$ and ${W_2}$ are weights of elements deposited by passing a certain quantity of electricity through their salt solutions and ${{E_1}}$ and ${{E_2}}$ are their respective weights, then
$$\begin{equation} \begin{aligned} \frac{{{W_1}}}{{{W_2}}} = \frac{{{E_1}}}{{{E_2}}} \\ \frac{{{Z_1}It}}{{{Z_2}It}} = \frac{{{E_1}}}{{{E_2}}}...(W = ZIt) \\ \frac{{{Z_1}}}{{{Z_2}}} = \frac{{{E_1}}}{{{E_2}}} \\\end{aligned} \end{equation} $$
Thus electrochemical equivalent $(Z)$ is directly proportional to its equivalent weights $(E)$
so we can say that $Z$ is directly proportional to the equivalent weight ($E$)
$$\begin{equation} \begin{aligned} E \propto Z \\ E = FZ \\\end{aligned} \end{equation} $$
Here $F$ is proportionality constant which is equal to the $96500C$. It is called Faraday constant. Thus, $$E = 96500 \times Z$$.
So we can say that when $96500C$ of electricity is passed through an electrolyte, one gram equivalent ions gets deposited on it
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