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Electrochemistry

Question
CBSEENCH12010885

Aluminium oxide may be electrolysed at 1000o  C to furnish aluminium metal (Atomic mass = 27 amu; 1 Faraday = 96,500 Coulombs). The cathode reaction is

Al3+ +3e- → Alo
To prepare 5.12 kg of aluminium metal by this method would require

  • 5.49 x 107 C of electricity

  • 1.83 x 107 C of electricity

  • 1.49x 107 C of electricity

  • 5.49 x 101 C of electricity

Solution

A.

5.49 x 107 C of electricity

straight Q space equals space mFZ over straight M
space equals space fraction numerator 5.12 space straight x space 10 to the power of 5 space straight x space 96500 space straight x 3 over denominator 27 end fraction
space equals space 5.49 space straight x 10 to the power of 7 space straight C