The balanced equation is given as;
14KMnO₄ + 4C₃H₅(OH)₃ → 7K₂CO₃ + 7Mn₂O₃ + 5CO₂ + 16H₂O
14 : 5
The formed moles of CO₂ = 0.886 mol
The stoichiometric ratio between CO₂ and KMnO₄ is 5 : 14
Hence,
moles of CO₂ / moles of KMnO₄ = 5 / 14
0.886 mol / moles of KMnO₄ = 5 / 14
moles of KMnO₄ = 0.886 mol x 14 / 5
moles of KMnO₄ = 2.4808 mol
hence, consumed KMnO₄ moles = 2.4808 mol