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Question: Aluminium oxide may be electrolysed at 1000<sup>0</sup>C to furnish aluminium metal (At.Mass of Al =...

Aluminium oxide may be electrolysed at 10000C to furnish aluminium metal (At.Mass of Al = 27 amu ; 1 Faraday

= 96,500 Coulombs). The cathode reaction is

Al3+ + 3eAl0.\text{A}\text{l}^{\text{3+}}\text{ + 3}\text{e}^{-} \rightarrow \text{A}\text{l}^{0}. To prepare 5.12 kg of aluminium metal by this method, one would require :

A

5.49 × 107 C of electricity

B

1.83 × 107 C of electricity

C

5.49× 104 C of electricity

D

5.49 × 1010 C of electricity

Answer

5.49 × 107 C of electricity

Explanation

Solution

Al3++3eAl\mathrm { Al } ^ { 3 + } + 3 \mathrm { e } ^ { - } \longrightarrow \mathrm { Al } 5.12×10327=189.62 mol.\frac{\text{5.12} \times \text{1}\text{0}^{3}}{27}\text{=189.62 mol.} Charge = 189.62 × 3 × 96500 = 5.489 × 107 coulomb