M n O 4 − + . . . = M n 2 + + . . . {\displaystyle MnO_{4}^{-}+...=Mn^{2+}+...} M n O 4 − + . . . = M n 2 + + 4 H 2 O {\displaystyle MnO_{4}^{-}+...=Mn^{2+}+4H_{2}O} M n O 4 − + 8 H + + . . . = M n 2 + + 4 H 2 O {\displaystyle MnO_{4}^{-}+8H^{+}+...=Mn^{2+}+4H_{2}O} M n O 4 − + 8 H + + 5 e − = M n 2 + + 4 H 2 O {\displaystyle MnO_{4}^{-}+8H^{+}+5e^{-}=Mn^{2+}+4H_{2}O}
F e 2 + = F e 3 + + e − {\displaystyle Fe^{2+}=Fe^{3+}+e^{-}} M n O 4 − + 8 H + + 5 e − = M n 2 + + 4 H 2 O {\displaystyle MnO_{4}^{-}+8H^{+}+5e^{-}=Mn^{2+}+4H_{2}O} (x1) / u n d e r l i n e F e 2 + = F e 3 + + e − {\displaystyle /underline{Fe^{2+}=Fe^{3+}+e^{-}}} (x5) M n O 4 − + 5 F e 2 + + 8 H + → M n 2 + + 4 H 2 O + 5 F e 3 + {\displaystyle MnO_{4}^{-}+5Fe^{2+}+8H^{+}\rightarrow Mn^{2+}+4H_{2}O+5Fe^{3+}}
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