5 H2C2IIIO4 + 2 MnVIIO4- + 6 H+ 2 (MnII)2+ + 10 CIVO2 + 8 H2O

This is an oxidation-reduction (redox) reaction:

2 MnVII + 10 e- 2 MnII (reduction)

10 CIII - 10 e- 10 CIV (oxidation)

MnO4- is an oxidizing agent, H2C2O4 is a reducing agent.