Represent the cell in which the following reaction takes place `Mg(s)+2Ag^(+)(0.0001M)toMg^(2+)(0.130M)+2Ag(s)`
Calculate its `E_((cell))` if `E_((cell))^(Ө)=3.17V`

Explanation

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`