College

If 4.00 mol of acetylene undergoes combustion in an excess of oxygen, how many moles of carbon dioxide can be formed?

A. 4.00 mol
B. 2.00 mol
C. 8.00 mol
D. 3.20 mol

Answer :

To determine how many moles of carbon dioxide (CO₂) can be formed when 4.00 moles of acetylene (C₂H₂) undergo combustion in an excess of oxygen, we first need to consider the balanced chemical equation for the combustion of acetylene:

[tex]\[ \text{C}_2\text{H}_2 + \frac{5}{2} \text{O}_2 \rightarrow 2 \text{CO}_2 + \text{H}_2\text{O} \][/tex]

From the balanced equation, we can observe the following stoichiometric relationship:
- 1 mole of C₂H₂ produces 2 moles of CO₂.

Given:
- You have 4.00 moles of C₂H₂ reacting.

To find out how many moles of CO₂ are produced, you can use the stoichiometric ratio from the equation:
1. Calculate the moles of CO₂:
For every 1 mole of C₂H₂, 2 moles of CO₂ are formed. Therefore, with 4.00 moles of C₂H₂:
[tex]\[
4.00 \, \text{moles of C}_2\text{H}_2 \times \frac{2 \, \text{moles of CO}_2}{1 \, \text{mole of C}_2\text{H}_2} = 8.00 \, \text{moles of CO}_2
\][/tex]

So, 8.00 moles of carbon dioxide are formed when 4.00 moles of acetylene undergo combustion in an excess of oxygen.