Aluminum oxide is electrolyzed at $1000^\circ C$ to produce aluminum metal. The cathode reaction is $Al^{3+} + 3e^- \rightarrow Al$. What quantity of electricity is required to produce $5.12 \ kg$ of aluminum metal? (Given: $1 \ Faraday = 96500 \ C$)

• A
  $5.49 \times 10^{4} \ C$ of charge
• B
  $5.49 \times 10^{1} \ C$ of charge
• C
  $5.49 \times 10^{7} \ C$ of charge
• D
  $1.83 \times 10^{7} \ C$ of charge