# What is the balanced equation that represents the combustion of glycerol by potassium permanganate?

$14 K M n {O}_{4} \left(s\right) + 4 {C}_{3} {H}_{5} {\left(O H\right)}_{3} \left(l\right) \rightarrow 5 C {O}_{2} \left(g\right) + 7 {K}_{2} C {O}_{3} \left(s\right) + 7 M {n}_{2} {O}_{3} \left(s\right) + 16 {H}_{2} O \left(l\right)$
This is stoichiometrically balanced, as indeed it must be if it reflects chemical reality. The oxidation products are carbon dioxide, and potassium carbonate; the reduction products are a $M n \left(I I I\right)$ oxide. It is a spectacular reaction to do, but do it safely! I have seen a few fires when the reaction does not immediately commence, and the reaction mixture is placed into a waste container, where of course it does commence.