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

Options

A. `x_(2)-2x_(2)`
B. `x_(1)+2x_(2)`
C. `x_(1)-x_(2)`
D. `2x_(2)-x_(1)`

Answer

d

Explanation

`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)`