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Calculate the e.m.f. of the following ce...

Calculate the e.m.f. of the following cell at `25^(@)C`
`Mg(s)//Mg^(2+)(0.01 M)||Sn^(2+)(0.1 M)//Sn(s)`
Given `" " E_(Mg^(2+)//Mg)^(@)=-2.34 V, E^(@)Sn^(2+)//Sn=-0.136 V`
Also calculate the maximum work that can be accomplished by the operation of the cell.

Text Solution

Verified by Experts

The correct Answer is:
`E_(cell)^(@)=2.50V,w_(max)=425.372kJ`
`Mg+Sn^(2+)toMg^(2+)+Sn,E_(cell)^(@)=-0.136-(-2.34)=2.204V`
`E_(cell)=E_(cell)^(@)-(0.0591)/(2)"log"([Mg^(2+)])/([Sn^(2+_)]), thereforeE_(cell)=2.204-(0.0591)/(2)"log"(0.01)/(0.1)=2.500V`
`w_(max)=-DeltaG^(@)=nFE_(cell)^(@)=2xx96500xx2.204=425372J` (Note that `w_(max)` is related to `E_(cell)^(@)` and not `E_(cell)`).
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