The standard reduction potential of `Cu^(2+)//Cu` and `Cu^(2+)//Cu^(+)` are `0.339 V` and `0.153 V` respectively. The standard electrode potential of `Cu^(+)//Cu` half cell is :

Options

A. `0.525 V`
B. `0.827 V`
C. `0.184 V`
D. `0.490 V`

Answer

A

Explanation

`{:(Cu^(2+)+2erarrCu,-DeltaG_(1)^(@)=n_(1)E_(1)^(@)F),(ul(Cu^(2+)+erarrCu^(+),-DeltaG_(2)^(@)=n_(2)E_(2)^(@)F)):}`
Half reaction `Cu^(+) + e rarrCu`,
`-DeltaG_(3)^(@) = -Delta_(1)^(@) + Delta_(2)^(@) = n_(3)E_(3)^(@)F`
or `n xx E_(3)^(@)F = n_(1)E_(1)^(@)F - n_(2)E_(2)^(@)F`
`E_(3)^(@) = (n_(1)E_(1)^(@)F - n_(2)E_(2)^(@)F)/(nF)`
`= (0.339 xx 2 - 1 xx 0.153)/(1) = 0.525 V`