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The electrode potentials for Cu^(2+)(aq)...

The electrode potentials for `Cu^(2+)(aq) + e^(-) to Cu^(+)` (aq) and `Cu^(+)(aq) + e^(-) to Cu(s)` are `+0.15 V` and `+0.50 V` respectively.
The value of `E_(Cu^(2+)//Cu)^(@)` will be:

A

0.150 V

B

0.500 V

C

0.325 V

D

0.50 V

Text Solution

Verified by Experts

The correct Answer is:
C
`Cu^(2+) + e^(-) to Cu^(+), G_(1) =-n 0.15 F`
`Cu^(2+) + e^(-) to Cu, G_(2) = -n xx 0.50 F`
`Cu^(2+) +2e^(-) to Cu, G_(3)` = ?
`DeltaG_(3) = DeltaG_(1) + DeltaG_(2)`
`-2FE^(@) = -1F xx 0.15 xx (-1 F xx 0.5)`
`E^(@) = 0.65/2 = 0.325 V`
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