The incomplete, unbalanced chemical equation is.
Fe2++MnO−4+H+→
The complete, unbalanced chemical equation is.
Fe2++MnO−4+H+→Fe3++Mn2++H2O
Fe atoms and Mn atoms are balanced.
The oxidation number of iron increases from +2 (in Fe2+) to +3 (in Fe3+). Total increase in oxidation number for iron is 3−2=1.
The oxidation number of Mn decreases from +7 (in MnO−4) to +2 (in Mn2+). Total decrease in oxidation number for Mn is 7−2=5.
To balance total increase in oxidation number with total decrease in oxidation number, add coefficent 5 to iron species.
5Fe2++MnO−4+H+→5Fe3++Mn2++H2O
Balance O atoms by adding 3 water molecules to products side.
5Fe2++MnO−4+H+→5Fe3++Mn2++4H2O
Balance H atoms by adding 7 protons to reactants side.
5Fe2++MnO−4+8H+→5Fe3++Mn2++4H2O
This is the complete, balanced chemical equation.