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Question
Equilibrium constant of the reaction, \[\ce{2Cu^{\oplus}_{(aq)} -> Cu^{2\oplus}_{(aq)} + Cu_{(s)}}\] is 1.2 × 106. What is the standard potential of the cell in which the reaction takes place?
Solution
Given: Equilibrium constant of the reaction (K) = 1.2 × 106.
To find: Standard potential of cell \[\ce{E^{\circ}_{cell}}\]
Formulae: \[\ce{E^{\circ}_{cell}}\] = `(0.0592 "V")/"n" log_10K`
Calculation:
For the given reaction, n = 1.
Using formula,
`("E"_"cell"^circ) = 0.0592/1 xx log_10 (1.2 xx 10^6)`
`("E"_"cell"^circ) = 0.0592 xx (6.079)` = 0.36 V
The standard cell potential of cell is 0.36 V.
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