10 FeSO4 (aq) + 2 KMnO4 (aq) + 8 H2SO4 (aq) → 5 Fe2(SO4)3 (s) + 2 MnSO4 (aq) + K2SO4 (aq) + 8 H2O (l)
This is an oxidation-reduction (redox) reaction:
2 MnVII + 10 e- → 2 MnII (reduction)
10 FeII - 10 e- → 10 FeIII (oxidation)
KMnO4 is an oxidizing agent, FeSO4 is a reducing agent.
This is a precipitation reaction: Fe2(SO4)3 is the formed precipitate.