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A current of 10.23 A flows through a silver plating cell for exactly one hour. How many moles of electrons pass through?
A0.6134 mol
B0.3817 mol
C0.1909 mol
D3.817 mol
Answer & Solution
Correct answer: B. 0.3817 mol
1. Charge equals current multiplied by time, with current in amperes and time in seconds.
2. One hour is 60 minutes times 60 seconds, which is 3600 seconds.
3. So the charge is 10.23 coulombs per second times 3600 seconds, about 36830 coulombs.
4. Faraday's constant is 96485 coulombs for every mole of electrons.
5. Dividing 36830 coulombs by 96485 coulombs per mole gives 0.3817 mole of electrons.
6. 0.6134 mole comes from treating the silver ion as needing two electrons rather than one.
7. 0.1909 mole is the correct answer halved, the same slip made the other way round.
8. 3.817 mole comes from slipping a factor of ten in the conversion of hours to seconds.
_Source: OpenStax Chemistry (CC BY 4.0), Chs 7 and 17, section 17.7 Electrolysis_
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