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Calculate the EMF of the cell for the re...

Calculate the EMF of the cell for the reaction.
`Mg_((s))+2Ag_((aq))^+ Mg_((aq))^++2Ag(s)`
Given: `E^@ Mg^(2+)//Mg=-2.37 V`
`E^@ Ag^(+)//Ag=0.08V`
`[Mg^(2+)]=0.001M,[Ag^+]=0.0001M`
`log 10^5=5`

Text Solution

Verified by Experts

`E_(cell)^@=E_(righ t)-E_(l eft)`
`=0.80-(-2.37)=3.17V`
`=E^@-0.059/n log""([Product])/([Reactant])`
`=3.17-0.059/2log""([10^-3])/([10^-4]^2)`
`=3.17-0.059/2log 10^5`
`=3.17-(0.059 times 5)/2=3.0225V`
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