potassium permanganate (a disinfectant) and glycerin (a lubricant) react explosively according to the…

potassium permanganate (a disinfectant) and glycerin (a lubricant) react explosively according to the following equation.\n14kmno₄ + 4c₃h₅(oh)₃ → 7k₂co₃ + 7mn₂o₃ + 5co₂ + 16h₂o\nhow many moles of kmno₄ are consumed to form 0.886 moles of carbon dioxide?

potassium permanganate (a disinfectant) and glycerin (a lubricant) react explosively according to the following equation.\n14kmno₄ + 4c₃h₅(oh)₃ → 7k₂co₃ + 7mn₂o₃ + 5co₂ + 16h₂o\nhow many moles of kmno₄ are consumed to form 0.886 moles of carbon dioxide?

Answer

Explanation:

Step1: Identify mole - ratio

From the balanced equation $14KMnO_4 + 4C_3H_5(OH)3\rightarrow7K_2CO_3 + 7Mn_2O_3+5CO_2 + 16H_2O$, the mole - ratio of $KMnO_4$ to $CO_2$ is $\frac{n{KMnO_4}}{n_{CO_2}}=\frac{14}{5}$.

Step2: Calculate moles of $KMnO_4$

We know $n_{CO_2} = 0.886$ moles. Using the mole - ratio, $n_{KMnO_4}=\frac{14}{5}\times n_{CO_2}$. Substitute $n_{CO_2}=0.886$ into the equation: $n_{KMnO_4}=\frac{14}{5}\times0.886$. $n_{KMnO_4}=14\times\frac{0.886}{5}=14\times0.1772 = 2.4808$ moles.

Answer:

$2.48$ moles