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Purification of copper can be achieved by electrorefining copper from an impure copper anode onto a pure copper cathode in an electrolytic cell. How many hours will it take to plate 19.0 kg of copper onto the cathode if the current passed through the cell is held constant at 39.5 A ? Assume the copper in the electrolytic solution is present as Cu 2 + .

Respuesta :

Answer: 406 hours

Explanation:

[tex]Q=I\times t[/tex]

where Q= quantity of electricity in coloumbs

I = current in amperes = 39.5 A

t= time in seconds = ?

The deposition of copper at cathode is represented by:

[tex]Cu^{2+}+2e^-\rightarrow Cu[/tex]

[tex]96500\times 2=193000[/tex] Coloumb of electricity deposits 1 mole of copper

i.e. 63.5 g of copper is deposited by = 193000 Coloumb

Thus 19.0 kg or 19000 g of copper is deposited by = [tex]\frac{193000}{63.5}\times 19000=57748032[/tex] Coloumb

[tex]57748032=39.5\times t[/tex]

[tex]t=1461975sec=406hours[/tex]    (1hour=3600s)

Thus it will take 406 hours to plate 19.0 kg of copper onto the cathode if the current passed through the cell is held constant at 39.5 A

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