The half reacttion for the oxidation of water is 2H2O→O2+4H++4e−.
The standard oxidation potential is −1.23 V.
The Nernst equation for the electrode potential is, Ecell=E∘cell−0.059nlogQ.
Substitute values in the above expression :
−0.81=−1.23−0.0594log[H+]4.
Hence, [H+]=1×10−7M.
The corresponding pH is −log[H+]
=−log(1×10−7)=7.