Final answer:
To balance the given chemical equation, multiply C₃H₆ by 2 to get 6CO₂ and multiply H₂O by 3 to get 6H₂O. The balanced equation is 2C₃H₆(g) + 9O₂(g) → 6CO₂(g) + 6H₂O(g).
Step-by-step explanation:
To balance the chemical equation C₃H₆(g) + 9O₂(g) → 6CO₂(g) + 6H₂O(g), we need to make sure that the number of atoms of each element is equal on both sides of the equation.
Starting with the carbon atoms, we have 3 on the left side and 6 on the right side, so we multiply C₃H₆ by 2 to get 6CO₂. Next, we look at the hydrogen atoms and notice that there are 6 on both sides, so it is already balanced. Finally, we check the oxygen atoms and see that there are 18 on the left side and 12 on the right side, so we multiply H₂O by 3 to get 6H₂O.
The balanced chemical equation is 2C₃H₆(g) + 9O₂(g) → 6CO₂(g) + 6H₂O(g).