Faraday's Law Electrolysis Calculator
A copper electrowinning cell running 1000 A for 24 hours at 95 % current efficiency deposits 27.0293 kg.
27.0292673787606 kg
Full answer, then cut to fewer decimals (not rounded):
- 27.0292673787606 kg
- 27.029267378760 kg
- 27.02926737876 kg
- 27.0292673787 kg
- 27.029267378 kg
- 27.02926737 kg
- 27.0292673 kg
- 27.029267 kg
- 27.02926 kg
- 27.0292 kg
- 27.029 kg
- 27.02 kg
- 27.0 kg
- Charge passed Q = It
- 24000 A·h
- Electrochemical equivalent M/(zF)
- 1.185494183 g/(A·h)
- Energy per kg at 1 V (multiply by cell voltage)
- 0.8879263971 kWh/(kg·V)
Step-by-step solution
- m = I t M η ÷ (z F) = 1000 × 86400 × 63.546 × 0.95 ÷ (2 × 96485)
- m = 27029.26738 g = 27.02926738 kg
Faraday's Law Electrolysis Formula
m = I t M η / (z F)
F = 96,485 C/mol, z electrons per ion, η current efficiency
Worked Example
Copper electrowinning at 1000 A for 24 h with 95 % current efficiency:
- m = I t M η ÷ (z F) = 1000 × 86400 × 63.546 × 0.95 ÷ (2 × 96485)
- m = 27029.26738 g = 27.02926738 kg
Electrochemical equivalent M/(zF): 1.185494183 g/(A·h) · Energy per kg at 1 V (multiply by cell voltage): 0.8879263971 kWh/(kg·V)
GATE tip
Aluminium needs three electrons per atom, so the same charge deposits only a third as many moles as silver; per kg, Hall–Héroult cells pass about 2980 A·h.
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Frequently asked questions
Why is current efficiency below 100 %?
Part of the charge drives side reactions such as hydrogen evolution or re-dissolution, and some is lost to short circuits.
How much energy does it take?
Energy = charge × cell voltage. Copper electrowinning at about 2 V needs roughly 2 kWh per kg.
Sources
- The International System of Units (SI), 9th edition (SI Brochure), Bureau International des Poids et Mesures .
Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.
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APA
Scientific Converters. (2026, October 15). Faraday's Law Electrolysis Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/faraday-electrolysis-calculator/
IEEE
Scientific Converters, "Faraday's Law Electrolysis Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/faraday-electrolysis-calculator/