Questions: What is the balanced chemical equation for the combustion of methane?
Transcript text: What is the balanced chemical equation for the combustion of methane?
Solution
Solution Steps
Step 1: Identify the Reactants and Products
The combustion of methane involves methane (\(\text{CH}_4\)) and oxygen (\(\text{O}_2\)) as reactants. The products of this reaction are carbon dioxide (\(\text{CO}_2\)) and water (\(\text{H}_2\text{O}\)).
Step 2: Write the Unbalanced Equation
The unbalanced chemical equation for the combustion of methane is:
\[
\text{CH}_4 + \text{O}_2 \rightarrow \text{CO}_2 + \text{H}_2\text{O}
\]
Step 3: Balance the Equation
To balance the equation, ensure that the number of each type of atom is the same on both sides of the equation.
Carbon atoms: There is 1 carbon atom in \(\text{CH}_4\) and 1 in \(\text{CO}_2\). This is already balanced.
Hydrogen atoms: There are 4 hydrogen atoms in \(\text{CH}_4\) and 2 in each \(\text{H}_2\text{O}\). To balance, place a coefficient of 2 in front of \(\text{H}_2\text{O}\):
\[
\text{CH}_4 + \text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}
\]
Oxygen atoms: There are 2 oxygen atoms in \(\text{CO}_2\) and 2 in \(2\text{H}_2\text{O}\), totaling 4 oxygen atoms needed on the product side. Therefore, place a coefficient of 2 in front of \(\text{O}_2\):
\[
\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}
\]
Final Answer
The balanced chemical equation for the combustion of methane is:
\[
\boxed{\text{CH}_4 + 2\text{O}_2 \rightarrow \text{CO}_2 + 2\text{H}_2\text{O}}
\]