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Represent the cell in which following re...

Represent the cell in which following reaction takes place `:`
`Mg(s)+2Ag^(o+)(0.0001M)rarr Mg^(2+)(0.130M)+2Ag(s)` calculate its `E_(cell)` if `E^(c-)._(cell)=3.17V. `

Text Solution

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The cell may be represented as `Mg(s) | Mg^(2+) (0.13 M) || Ag^(+) (0.0001 M) | Ag(s)`
The cell reaction may be given as
`Mg(s) to Mg^(2+) (0.13 M) + 2e^(-)`
`2Ag^(+)(10^(-4) M) + 2e^(-) to 2Ag(s)`
`Mg(s) + 2Ag^(+) (10^(-4) M) `Q =([Mg^(2+)][Ag]^(2))/([Mg][Ag^(+)]^(2)) = (0.13 xx 1)/(1 xx (10^(-4))2)= 0.13 xx 10^(8)`
According to Nernst equation
`E = E^(@) - (0.059)/n log_(10)Q`
`=3.17 - (0.059)/2 log (0.13 xx 10^(8)) = 2.96 V`
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