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Write the Nernst equation and calcualte ...

Write the Nernst equation and calcualte emf of the following cell at 298 K:
`Mg(s) | Mg^(2+) (0.1 M ) || Cu^(2+) (0.01 M) | Cu(s)`
Given: `E_("cell")^(@) = 2.71 V`

Text Solution

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Nernst equation for the cell may be written as:
`E_("cell") =E_("cell")^(@) -(0.0591)/n log ([Mg^(2+)])/([Cu^(2+)])M`
Substituting the values in the above equation, we have
`I_("cell")^(-) =2.71 V - (0.0591)/2 log ([0.1])/([0.01]) = 2.71 V - 0.00295 xx 1 = 2.68 V`
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