Balance C3H8 + O2 + CO2 + H2O

The Correct Answer and Explanation is:

Balanced Equation:

C₃H₈ + 5O₂ → 3CO₂ + 4H₂O


Explanation:

To balance the chemical equation involving the combustion of propane (C₃H₈), we need to ensure the number of atoms of each element on the left side equals the number of atoms on the right side of the equation.

Step 1: Understand the Reaction Type

This is a combustion reaction. Propane (C₃H₈), a hydrocarbon, reacts with oxygen (O₂) to produce carbon dioxide (CO₂) and water (H₂O). Combustion reactions of hydrocarbons always produce these two products if the combustion is complete.

Step 2: Balance Carbon Atoms

Propane has 3 carbon atoms. So, place a coefficient of 3 in front of CO₂ to balance the carbon atoms:
C₃H₈ + O₂ → 3CO₂ + H₂O

Now both sides have 3 carbon atoms.

Step 3: Balance Hydrogen Atoms

Propane has 8 hydrogen atoms. Each water molecule has 2 hydrogen atoms. To get 8 hydrogen atoms on the product side, place a coefficient of 4 in front of H₂O:
C₃H₈ + O₂ → 3CO₂ + 4H₂O

Now both sides have 8 hydrogen atoms.

Step 4: Balance Oxygen Atoms

Now count the total number of oxygen atoms on the right-hand side.
From 3CO₂, you get 3 × 2 = 6 oxygen atoms.
From 4H₂O, you get 4 × 1 = 4 oxygen atoms.
In total, 6 + 4 = 10 oxygen atoms are needed.

Each O₂ molecule has 2 oxygen atoms, so to get 10 oxygen atoms, you need 5 O₂ molecules:
C₃H₈ + 5O₂ → 3CO₂ + 4H₂O

Now both sides have equal numbers of each atom:

  • Carbon: 3
  • Hydrogen: 8
  • Oxygen: 10

The equation is now balanced.

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