Electrolysis Calculator: Faraday's Laws of Electrode Deposition

simulator beginner ~8 min
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m = 2.97 g — of copper deposited

Passing 5 A for 30 minutes through a copper sulfate solution deposits approximately 2.97 g of copper at the cathode. This follows directly from Faraday's first law: the mass deposited is proportional to the total charge passed.

Formula

m = (M × I × t) / (z × F)
Q = I × t (total charge in coulombs)
n = Q / (z × F) (moles deposited)

Turning Electricity into Matter

Electrolysis is the process of using electrical current to drive a non-spontaneous chemical reaction. When you pass current through a solution of copper sulfate, copper ions in solution gain electrons at the cathode and plate out as solid metal. Michael Faraday quantified this in the 1830s, establishing laws that remain the foundation of electrochemical engineering two centuries later.

Faraday's Quantitative Laws

The first law states that mass deposited is proportional to charge (m ∝ Q), while the second law states that for the same charge, the mass deposited is proportional to the equivalent weight M/z. Together they yield m = MIt/(zF), a remarkably precise equation. In practice, if you know the current, time, molar mass, and valence, you can predict the deposited mass to within a few percent.

Industrial Scale

The aluminium in every aircraft wing was produced by electrolysis. The Hall-Héroult process dissolves alumina in cryolite and passes enormous currents (100,000+ amps) through the melt. Aluminium smelting consumes roughly 5% of all electricity generated in some countries, making Faraday's laws relevant not just to chemistry but to energy policy and economics.

Electroplating and Beyond

Beyond bulk metal production, electrolysis enables precision applications: chrome plating for durability, gold plating for electronics, and anodizing aluminium for corrosion resistance. Electrochemical machining uses controlled dissolution to shape hardened steel with micron precision. In each case, Faraday's laws predict exactly how much material moves per amp-second.

FAQ

What is Faraday's first law of electrolysis?

Faraday's first law states that the mass of substance deposited at an electrode is directly proportional to the quantity of electric charge passed through the electrolyte. Doubling the current or doubling the time doubles the mass deposited.

What is Faraday's constant?

Faraday's constant F = 96,485 C/mol is the total electric charge carried by one mole of electrons. It connects the macroscopic quantity of charge to the number of atoms deposited or dissolved at an electrode.

How is electrolysis used industrially?

Electrolysis is used to refine copper (99.99% purity), produce aluminium from bauxite (Hall-Héroult process), electroplate metals for corrosion protection, and generate hydrogen and chlorine gas from brine in chlor-alkali cells.

What determines current efficiency in electrolysis?

Current efficiency measures what fraction of the passed charge actually deposits the desired product. Side reactions (water decomposition, oxygen evolution) consume some charge, reducing efficiency. Temperature, electrode material, and electrolyte composition all affect efficiency.

Sources

Embed

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