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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

Verified by Experts

The cell reaction in terms of cell notation is
`Mg|Mg^(2+)(0.130 M)||Ag^(+)(0.001 M)|Ag`
`E_(cell)=E_(cell)^(@)-(0.0591)/(n)"log"([Anode])/([Cathode])`
`=(3.17)-(0.0591)/(2)"log"(0.130)/(0.0001)^(2)=(3.17)-(0.0591)/(2)"log"(0.0591)/(2)"log"(0.130)/(10^(-8))`
`=(3.17)-0.02955" log "(1.3xx10^(7))=(3.17)-(0.02955xx7.1139)`
`=(3.17-0.21)=2.69 V`.
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Knowledge Check

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