Calculate the e.m.f of the following cell reaction at 298 K:
`Mg_(s) + Cu^(2+) (0.0001 M) -> Mg^(2+) (0.0001M) + Cu_(s)`
The standard potential `(E^@)`of the cell is 2.71 V
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Solution
`Mg + Cu^(2+) -> Mg^(2+) + Cu`
`Q = [Mg^(2+)]/[Cu^(2+)] = (10^(-3))/(10^(-4)) = 10`
n = 2
`E_"cell" = E_"cell"^0 - 0.0592/n log_10 Q`
`= 2.71 - 0.0592/2 log_10 10`
= 2.71 - 0.0296
`E_"cell" = 2.68 V`
Concept: Galvanic Cells, Mechanism of Current Production in a Galvanic Cell; - Mechanism of Production of Electric Current in a Galvanic Cell
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