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The standard reduction potentials of Cu^...

The standard reduction potentials of `Cu^(2+)|Cu` and `Cu^(2+)|Cu^(o+)` are `0.337V` and `0.153V`, respectively. The standard electrode potential fo `Cu^(o+)|Cu` half cell is

A

`x_(2)-2x_(2)`

B

`x_(1)+2x_(2)`

C

`x_(1)-x_(2)`

D

`2x_(2)-x_(1)`

Text Solution

Verified by Experts

The correct Answer is:
d

`Cu^(o+)+e^(-) rarr Cu,E^(c-)._(1)=x_(1)V " "(i)`
`Cu^(2+)+2e^(-) rarr Cu,E^(c-)._(2)=x_(2)V)" "(ii)`
Net equation `Cu^(2+)+e^(-) rarr Cu^(o+) E_(3)implies " "(iii)`
is obtained by `Eqs. (ii)-(i)`
`:. E_(3)=(n_(2)E_(2)-n_(1)E_(1))/(n_(3))`
`=(2xxx_(2)-1xx_(1))/(1)=2x_(2)-x_(1)`
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