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?\n0.177\n2.48\n5.42\n13.29

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?\n0.177\n2.48\n5.42\n13.29

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 $n_{CO_2}=0.886$ moles into the equation: $n_{KMnO_4}=\frac{14}{5}\times0.886 = 2.4808\approx2.48$ moles.

Answer:

2.48