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E^(c-).(red) of different half cell are ...

`E^(c-)._(red)` of different half cell are given as `:`
`E^(c-)._(Cu^(2+)|Cu)=0.34V,E^(c-)._(Zn^(2+)|Zn)=-0.76V`.
`E^(c-)._(Ag^(o+)|Ag)=0.80 V, E^(c-)._(Mg^(2+)|Mg)=-2.37V.`
In which cell `DeltaG^(c-)` is most negative ?

A

`Zn|Zn^(2+)(1M)||Mg^(2+)(1M)|Mg`

B

`Zn|Zn^(2+)(1M)||Ag^(o+)(1M)|Ag`

C

`Cu|Cu^(2+)(1M)||Ag^(o+)(1M)|Ag`

D

`Ag|Ag^(o+)(1M)||Mg^(2+)(1M)|Mg`

Text Solution

Verified by Experts

The correct Answer is:
b
`DeltaG^(c-)=-nFE^(c-)._(cell)`
For `DeltaG^(c-)` to be most negative, check for maximum value of `E^(c-)._(cell)`.
`a.` `E^(c-)._(cell)=(E^(c-)._(red))_(c)-(E^(c-)._(red))_(a)=-2.37-(-0.76)`
`=-1.61V`
`b.` `E^(c-)._(cell)=0.80V-(0.76)=1.56V`
`c.` `E^(c-)._(cell)=0.80V-0.34=0.46V`
`d.` `E^(c-)._(cell)=-2.37-0.80=-3.17`
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