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The reduction potential of hydrogen half...

The reduction potential of hydrogen half cell will be negative if :

A

`p(H_(2)) =2 atm[H^(+)] = 1.0M`

B

`p(H_(2)) =2` atm and `[H^(+)] = 2.0M`

C

`p(H_(2)) =1` atm and `[H^(+)] = 2.0M`

D

`p(H_(2)) =1` atm and `[H^(+)] = 1.0M`

Text Solution

Verified by Experts

The correct Answer is:
A
`2H^(+) +2e rarr H_(2)(g)`
Applying Nernst Equation
`E_(H^(+)//H_(2)) = E_(H^(+)//H_(2))^(@) - (0.059)/(2)log.(pH_(2))/([H^(+)]^(2))`
`E_(H^(+)//H_(2)) = 0`
`:. E_(H^(+)//H_(2))^(@) = 0 - (0.059)/(2) log.(pH_(2))/([H^(+)]^(2))`
For the negative nature of `E_(H^(+)//H_(2))`
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