To determine the total number of atoms in the product of the chemical reaction represented by \( \text{CH}_4 + 2 \text{O}_2 \), we first need to analyze the reactants.
-
Count the atoms in the reactants:
- For \( \text{CH}_4 \) (methane):
- Carbon (C): 1 atom
- Hydrogen (H): 4 atoms
- For \( 2 \text{O}_2 \) (diatomic oxygen, 2 molecules):
- Each \( \text{O}_2 \) molecule contains 2 oxygen atoms, so \( 2 \text{O}_2 \) contains \( 2 \times 2 = 4 \) oxygen atoms.
- For \( \text{CH}_4 \) (methane):
-
Total atoms in the reactants:
- Carbon: 1
- Hydrogen: 4
- Oxygen: 4
- Total = \( 1 + 4 + 4 = 9 \) atoms
-
Determine the products: The complete combustion of methane (\( \text{CH}_4 \)) with oxygen (\( \text{O}_2 \)) yields carbon dioxide (\( \text{CO}_2 \)) and water (\( \text{H}_2\text{O} \)). The balanced equation for the reaction is: \[ \text{CH}_4 + 2 \text{O}_2 \rightarrow \text{CO}_2 + 2 \text{H}_2\text{O} \]
-
Count the atoms in the products:
- For \( \text{CO}_2 \):
- Carbon: 1 atom
- Oxygen: 2 atoms
- For \( 2 \text{H}_2\text{O} \) (water):
- Each water molecule contains 2 hydrogen atoms and 1 oxygen atom. For 2 molecules:
- Hydrogen: \( 2 \times 2 = 4 \) atoms
- Oxygen: 2 atoms
- For \( \text{CO}_2 \):
-
Total atoms in the products:
- Carbon: 1
- Hydrogen: 4
- Oxygen: \( 2 + 2 = 4 \)
- Total = \( 1 + 4 + 4 = 9 \) atoms
The total number of atoms in the products is 9.