Commercial electrolytic cells for producing aluminum operate at 5.0 V and 100,000 A. The time it take to produce exactly 1 metric ton (1000 kg) of aluminum is 1.073×105s
The half cell reaction is:Al3+ + 3e- ------ Al
Mass of deposited Al =1000kg×1000g/kg
As we know that, 3 mol of electrons involved in producing one mole of Al i.e. 27 g
3 mol of aluminum - 27 g
Moles of e- transferred can be given as
= 1.11×10^5mol
We know that,
Charge of 1 mol of aluminum = 96500
Charge (C) = 1.11×10^5
Total charge can be given as
96500 ×111000=1.07×10^15
Time =Quantity /f
Time=1.073×105s
Thus we calculated that the time it take to produce exactly 1 metric ton (1000 kg) of aluminum is 1.073×105s.
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