What magnitude of current produces 1.0 kg of sodium metal in 1 hour?

Cont. of the question:

A major source of sodium metal is the electrolysis of molten sodium chloride.

The textbook lists the answer as 1.2 * 10^3 A. I need some help getting to this.

2 Answers

  • Molar mass of Na = 23.0 g/mol

    Mass of Na = 1 kg = 1000 g

    No. of moles Na = (1000 g) / (23.0 g/mol) = 43.5 mol

    Na⁺ + e⁻ → Na

    Mole ratio e⁻ : Na = 1 : 1

    No. of moles of e⁻ passed = 43.5 mol

    Each mole of electrons carries 96500 C of electricity.

    Quantity of electricity passed, Q = (43.5 mol) × (96500 C/mol) = 4.2 × 10⁶ C

    Q = It

    Current, I = Q/t = (4.2 × 10⁶ C) / (1 h) = (4.2 × 10⁶ C) / (3600 s) = 1.2 × 10³ A

  • Ian Ziering

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