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Cu^(+) ion is not stable in aqueous solu...

`Cu^(+)` ion is not stable in aqueous solution because because of dispropotionation reaction. `E^(@)` value of disproportionation of `Cu^(+)` is
`[E_(Cu^(2+)//Cu^(+))^(@)=+ 0.15 V, E_(Cu^(2+)//Cu)^(@)=0.34 V]`

A

`-0.49V`

B

`0.19V`

C

`-0.38V`

D

`0.38V`

Text Solution

Verified by Experts

The correct Answer is:
B

The required reaction `(Cu^(++)+Cuto2Cu^(+))` can be obtained by using the following reactions.
`Cu^(++)+e^(-)toCu^(+),E_(Cu^(++)//Cu^(+))^(o)=0.15V` . . .(i)
`Cu^(++)+2e^(-)toCu,E_(Cu^(++)//Cu)^(o)=0.34V` . . (ii)
Multiplying eq. (i) by 2 we get
`2Cu^(++)+2e^(-)to2Cu^(+)` . . . (iii)
`DeltaG_(1)=-nFE=-2xxFxx0.15`
`Cu^(++)+2e^(-)toCu` . . . (iv)
Subtract the eq. (iv) from (iii)
`Cu^(++)+Cuto2Cu^(+)`
`DeltaG_(3)=-nFE=-1xxFxxE^(o)`
Also `DeltaG_(3)=DeltaG_(1)-DeltaG_(2)`
`-1FE^(o)=(-2Fxx0.15)-(-2Fxx0.34)`
`E^(o)=-0.38`
this is the value of the reaction
`Cu^(++)+Cuto2Cu^(+)`
but the given reaction is just reverse of it
`thereforeE_(cell)` for given reaction =+0.38V.
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