Find the standard electrode potential of `MnO_(4)^(c-)|MnO_(2).` The standard electrode potential of `MnO_(4)^(c-)|Mn^(2+)=1.51V` and `MnO_(2)|MnO_(2)|Mn^(2+)=1.23V`.

Explanation

`{:(MnO_(4)^(-)+8H^(+)+5e^(-)rarrMn^(2+)+4H_(2)O,E^(@) =1.51 "volt"),(MnO_(2)+4H^(+)+2e^(-)rarr Mn^(2+) +2H_(2)O , E^(@) = 1.23 "volt"):}/("Subtract" " "MnO_(4)^(-)+4H^(+)+3e^(-)rarrMnO_(2) +2H_(2)O, E^(@) = ?)
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`E^(@) = (5 xx 1.51 -2 xx 1.23)/(3) = (7.55 -2.45)/(3) = (5.09)/(3) = 1.70` volt