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What is the potential of the cell contai...

What is the potential of the cell containing two hydrogen electrode as represented below ?
`Pt,(1)/(2) H_(2)(g)|H_(2)O||H^(o+)(0.001M)|1//2H_(2)(g)Pt`

A

`-0.236V`

B

`-0.0591V`

C

`0.236V`

D

`0.0591V`

Text Solution

Verified by Experts

The correct Answer is:
c
`E_(cell)=(0.059)/(1)log.([H^(o+)]_(RHS))/([H^(o+)]_(LHS))`
`[` For `H_(2)O,[H^(o+)]=[overset(c-)(O)H]=10^(7)M]`
`=0.059log.(10^(-3))/(10^(-7))=0.059xx4=0.236V`
or
`E_(cell)=-0.059(pH_(c)-pH_(a))=-0.059(3-7)=0.235V`
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