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For the electrochemical cell show below ...

For the electrochemical cell show below
`Pt|H_(2)(P=1 atm|H^+(aq., x M)||Cu^(2+)(aq,0 M)|Cu(s)`
the potential is 0.49 V at 298 K. The pH of the solution is closest to
[Given: Standard reduction potential `E^(@)` for `Cu^(2+)//Cu` is 0.34 V gas constant , R is `8.31 J K^-1 mol^(-1)` Farady constant , F is `9.65xx104 JV^(-1) mol^(-1)]`

A

1.2

B

8.3

C

2.5

D

3.2

Text Solution

Verified by Experts

The correct Answer is:
C
`E=E^(@)=(0.591)/(n) log"" ("[Oxidation]")/("[Reaction]")`
`0.49=0.37-(0.0591)/(n) log ""([H^(+)]^(2))/(P_(H_(2))xx1)`
`0.15=(0.055)/(2)xx2- (log[H^(+)]^(2))/(pH)`
`0.15=0.055xxpH`
`pH=2.5`
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