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Represent the cell in which the followin...

Represent the cell in which the following reaction takes place
`Mg(s)+2Ag^(+)(0.001M) to Mg^(2+)(0.130)+2Ag(s)`
Calculate `E_("cell")" if "E_("cell")^(0)=3.17V`.

Text Solution

Verified by Experts

The cell is represented as `:`
`Mg|Mg^(2+)(0.130M)||Ag^(o+)(0.0001M)|Ag`
Reaction at anode `:`
`Mg(s) rarr Mg^(2+)(0.130M)+cancel(2e^(-))`
Reaction at cathode `:`
`2Ag^(o+)(0.0001M)+cancel(2e^(-)) rarr 2Ag(s)`
Cell reaction `:`
`ulbar(Mg(s)+2Ag^(o+)(0.0001M)rarrMg^(2+)(0.130M)+2Ag(s))`
`:. E_(cell)=E^(c-)._(cell)-(0.059)/(2) log.([Mg^(2+)])/([Ag^(o+)]^(2))`
`=3.17V-(0.059)/(2)log.(0.130)/((0.0001)^(2))`
=`3.17V-0.21V=2.96V`
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