1.

Calculate the standard reduction potential for the reaction H_2O+ e to 1/2 H_2+OH^- using the Nernst equation and the fact that the standard reduction potential for the reaction H^+ + e to 1/2 H_2 is by definition equal to 0.00V at 25^@C

Answer»

Solution :Given that
`H_2O + e to 1/2 H_2 +OH^- , E^@=xV` (say)
`THEREFORE` for the reaction,
`H_2Oto H^+ +OH^- , E^@=xV`
The Nernst EQUATION is
`E_(cell)=E^@- 0.0591/1 LOG[H^+][OH^-]`
At EQUILIBRIUM `E_(cell)=0 and [H^+][OH^-]=K_w=1 times 10^-14`
`therefore 0=x-0.0591/1 log 10^-14`
or `x=-0.8274 V`


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