What is the reduction half-reaction for the reaction between iron(II) sulfate and potassium permanganate in a sulfuric acid solution? 5Fe2+(aq) + MnO4–(aq) + 8H+(aq) → 5Fe3+(aq) + Mn2+(aq) + 4H2O(l)

Reduction half-reaction:MnO4-=Mn2+

Explanation:

Reduction half-reaction means the reaction in which oxidation number of species decreases after reaction and in this reaction oxidaion state of manganese is reduced to +2 from +7 hence the reduction half-reaction will be  MnO4- = Mn2+  and it can be visualise by checking oxidation number of all the species present in the redox reaction . In this redox reaction , oxidation state of iron is increasing .

the answer is:  

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