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For the cell reaction :2Cu((aq))^(+) to ...

For the cell reaction :`2Cu_((aq))^(+) to Cu_((s)) + Cu_((aq))^(2+)` , the standard cell potential is 0.36 V. The equilibrium constant for the reaction is

A

`5xx10^(6)`

B

`1.4xx10^(12)`

C

`7.4xx10^(12)`

D

`1.3xx10^(6)`

Text Solution

Verified by Experts

The correct Answer is:
D

Cell reactions are
`Cu^(+)rarrCu^(2+)+e^(-)`
`Cu^(2+)+e^(-)rarrCu`
here `n=1,E_("cell")^(@)=+0.36V`
`E_("Cell")^(@)=(0.0591V)/(n)"log" k_(c)`
`0.36=(0.0591)/(1)"log"k_(c)`
`"log" k_(c)=(0.36)/(0.591)=(36)/(5.91)= 6.09`
`k_(c)=1.3xx10^(6)`
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