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Electrolysis Calculator
Calculate mass produced using Faraday's laws

Calculate volume at STP

Faraday's Laws of Electrolysis

Q = I × t

n = Q ÷ (n_e × F)

m = n × M

Q = Charge (Coulombs)

I = Current (Amperes)

t = Time (seconds)

n_e = Electrons per ion

F = Faraday constant (96,485 C/mol)

M = Molar mass (g/mol)

Common Electrolysis Reactions

Cu²⁺ + 2e⁻ → Cu

Copper plating (n=2)

2H₂O → 2H₂ + O₂

Water electrolysis

Ag⁺ + e⁻ → Ag

Silver plating (n=1)

Al³⁺ + 3e⁻ → Al

Aluminum production (n=3)

Disclaimer

Results assume 100% current efficiency and ideal conditions. Actual yields may vary due to side reactions and other factors.

What is Electrolysis?

Electrolysis is a chemical process that uses electrical energy to drive a non-spontaneous chemical reaction. When an electric current passes through an electrolyte (a substance containing free ions), it causes chemical changes at the electrodes. This process is fundamental to many industrial applications including metal extraction, electroplating, and the production of various chemicals.

During electrolysis, positive ions (cations) migrate to the negative electrode (cathode) where they gain electrons (reduction), while negative ions (anions) move to the positive electrode (anode) where they lose electrons (oxidation). The amount of substance produced or consumed is directly related to the quantity of electric charge passed through the system, as described by Faraday's laws.

Faraday's Laws Explained

Michael Faraday discovered two fundamental laws governing electrolysis in 1833. The first law states that the mass of substance deposited or liberated at an electrode is directly proportional to the quantity of electricity (charge) passed through the electrolyte. This means doubling the current or time will double the amount of product.

The second law states that when the same quantity of electricity passes through different electrolytes, the masses of substances deposited are proportional to their equivalent weights (molar mass divided by the number of electrons transferred). These laws form the quantitative basis for all electrolytic calculations.

Industrial Applications

Electrolysis has numerous industrial applications. Electroplating uses electrolysis to coat objects with thin layers of metals like chromium, nickel, or gold for protection or decoration. Electrorefining purifies metals like copper to very high purity levels (99.99%). The Hall-Héroult process uses electrolysis to extract aluminum from bauxite ore.

Electroplating

Decorative and protective metal coatings

Metal Extraction

Aluminum, sodium, and reactive metals

Chlor-Alkali Process

Production of chlorine and sodium hydroxide

Hydrogen Production

Green hydrogen via water electrolysis

Current Efficiency

In practice, electrolysis rarely achieves 100% current efficiency. Some of the electrical energy is lost to side reactions, heat generation, and other inefficiencies. For example, during water electrolysis, some current may go toward oxidizing metal electrodes rather than producing oxygen. Industrial processes typically operate at 70-95% efficiency.

The actual yield can be calculated by multiplying the theoretical yield by the current efficiency: Actual mass = Theoretical mass × (Current efficiency / 100). When comparing calculated results to experimental data, always consider that real-world yields will typically be lower than the theoretical maximum.

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