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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))=1"atm and"[H^(+)]=1M`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
`H^(+)(aq)+e^(-)rarr1//2H_(2)(g)`
Here n=1
`E=E^(@)-(0.0 591)/(1)"log"([pH_(2)]^(1//2))/([H^(+)])`
`=0-( 0.0591V)/(1)"log"((pH_(2))^(1//2))/([ H^(+)])`
E will be negative if `(pH_(2))^(1//2)//[H^(+)]` is more than 1.
`therefore` when `p(H_(2))=2` atm and ` [H^(+)]=1M`
E will be negative.
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