Potassium permanganate (a disinfectant) and glycerin (a lubricant) react explosively according to the following equation. 14KMnO_(4)+4C_(3)H_(5)(OH)_(3)arrow 7K_(2)CO_(3)+7Mn_(2)O_(3)+5CO_(2)+16H_(2)O How many moles of KMnO_(4) are consumed to form 0.886 moles of carbon dioxide?

To solve this problem, we will use the stoichiometry of the balanced chemical equation. The equation tells us the ratio of moles of potassium permanganate ( ) to moles of carbon dioxide ( ) produced in the reaction. According to the equation, 5 moles of are produced for every 14 moles of consumed. We can set up a proportion to find the moles of consumed based on the moles of produced: Given that we have 0.886 moles of , we can solve for the moles of consumed: Now, let's calculate the moles of : So, 2.4808 moles of are consumed to form 0.886 moles of carbon dioxide.