RHE (Reversible hydrogen electrode) is a usually format in electrolysis when you present a applied voltage due to the considered pH value.
However, Ag/AgCl electrode is more handy than RHE when the eletrochemical experiment is carried out.
Hence, the conversion between RHE and Ag/AgCl is an important knowledge.
For Ag/AgCl reference cell
E(RHE) = E(Ag/AgCl)+0.0592*PH value+Eo(Ag/AgCl)
(Eo(Ag/AgCl) = 0.199 V)
at pH= 7, E(RHE)=E(Ag/AgCl)+0.612
at pH=13, E (RHE) = E(Ag/AgCl)+0.966
For SCE reference electrode (Hg2Cl2/Hg)
Eo(Hg2+/Hg) =0.245 V
E(RHE) =Eo(SCE) +0.0592*PH+0.245
at pH=14
E(RHE) =Eo(Hg/HgO)+1.071
At pH=7
E(RHE)=Eo(Hg/HgO)+0.6594
For Hg/HgO reference
E0 (Hg/HgO) = 0.098 V
For Normal Hydrogen Electrode (NHE) usually put in the 0.1 M KOH pH=14
E(RHE) =E(NHE) +0.0592*PH+0 , Eo=0
E(RHE) =E(NHE)+0.828
