Electrolysis Equation

Question

How long does it take to generate 1.00 kilograms of aluminum by the reaction below with a current of 20 amps?

Al³⁺ + 3e^- → Al(s)

Answer 1

1.00 kg Al x 1000 g/kg x 1 mole Al/26.98 g = 37.06 moles Al

moles electrons = 3 moles electrons/mole Al x 37.06 moles Al = 111.19 moles electrons

Coulombs = 111.19 moles electrons x 96,485 C/mole = 1.07x10⁷ C

Seconds = 1.07x10⁷ C x 1 sec/20 C = 5.35x10⁵ sec

5.35x10⁵ sec x 1 min/60 sec = 8.9x10³ minutes

8.9x10³ minutes x 1 hr/60 min = 148.3 hours