`E_(Mn^(2+)//MnO_(4)^(-))^(0)=-1.51V` `E_(MnO_(2)//Mn^(+2))^(0)=+1.23V` `E_(MnO_(4)^(-)//MnO_(2)=?` (All in acidic medium)
`E_(Mn^(2+)//MnO_(4)^(-))^(0)=-1.51V`
`E_(MnO_(2)//Mn^(+2))^(0)=+1.23V`
`E_(MnO_(4)^(-)//MnO_(2)=?` (All in acidic medium)
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`4H_(2)O+Mn^(2+)toMnO_(4)^(-)+8H^(+)+5e^(-)" triangleG_(1)`
(i). `lArrMnO_(4)^(-)+8H^(+)+5e^(-)to4H_(2)O+Mn^(2+)" " -triangleG_(1)`
`2e^(-)+MnO_(2)+4H^(+)toMn^(2+)+2H_(2)O" "triangleG_(2)`
(ii). `lArr2H_(2)O+Mn^(2+)toMnO_(2)+4H^(+)+2e^(-)" "-triangleG_(2)`
(iii). `lArr4H^(+)+MnO_(4)^(-)+3e^(-)toMnO_(2)+2H_(2)O" "triangleG_(3)`
`(i)+(ii)=(iii)`
`triangleG_(3)=-triangleG_(2)-triangleG_(2)`
`-3E_(3)F=5E_(1)^(0)F+2E_(2)^(0)F`
`E=(-[5E_(1)+2E_(2)])/(3)=(-[5(-1.51)+2(1.23)])/(3)=(-[-7.55+2.46])/(3)=(+5.09)/(3)=1.69V`
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