Faraday's Law of Electrolysis

Relates electric charge to mass deposited

Formula

m = (Q × M) / (n × F)

m: mass deposited (g), Q: charge (C), M: molar mass (g/mol), n: electrons per ion, F: Faraday constant (96485 C/mol).

Example

Given: Q = 10,000 C, ion Cu²⁺ (n = 2), M = 63.546 g/mol.

m = (10,000 × 63.546) / (2 × 96485) g

m ≈ (635,460) / 192,970 ≈ 3.29 g

Answer: ≈ 3.29 g of Cu deposited

Notes & Pitfalls

  • Use correct valence n; for Ag⁺, n = 1; for Al³⁺, n = 3.
  • Ensure molar mass M corresponds to the deposited species.
  • Account for efficiency if the process is not 100% current efficient.

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