10 FeCl3 + 6 KMnO4 + 24 H2SO4 → 6 MnSO4 + 5 Fe2(SO4)3 + 3 K2SO4 + 15 Cl2 + 24 H2O
This is an oxidation-reduction (redox) reaction:
6 MnVII + 30 e- → 6 MnII (reduction)
30 Cl-I - 30 e- → 30 Cl0 (oxidation)
KMnO4 is an oxidizing agent, FeCl3 is a reducing agent.