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How much copper will be deposited from a...

How much copper will be deposited from a vitriol solution in 3 minutes, if the current through the electrolyte changes in accordance with the law `i=6-0.03t`? All quantities are expressed in the SI system.

Text Solution

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The correct Answer is:
200 mg.
First find the charge passing through the solution, making use of the graph in Fig. Since the current changes linearly, the eventual value being `i_(ev)=6-0.03xx180=2.4A,` the charge is easily obtained : `q=(i_(0)+i_(ev))t//2`. Incidentally, the same result may be obtained by integration the expression
`q=underset(0)overset(180)intidt`
(check this). Then the mass of copper may be found from Faraday.s law
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