1. Write the balanced chemical equation:
CH₄ + 2O₂ → CO₂ + 2H₂O
2. Calculate the molar mass of each compound:
* CH₄: (12.01 g/mol) + (4 * 1.01 g/mol) = 16.05 g/mol
* O₂: (2 * 16.00 g/mol) = 32.00 g/mol
* CO₂: (12.01 g/mol) + (2 * 16.00 g/mol) = 44.01 g/mol
* H₂O: (2 * 1.01 g/mol) + (16.00 g/mol) = 18.02 g/mol
3. Determine the moles of CH₄:
* Moles of CH₄ = (32 g) / (16.05 g/mol) = 2 mol
4. Use the mole ratio from the balanced equation to find the moles of O₂ consumed:
* From the balanced equation, 1 mole of CH₄ reacts with 2 moles of O₂.
* Moles of O₂ = 2 mol CH₄ * (2 mol O₂ / 1 mol CH₄) = 4 mol O₂
5. Calculate the mass of O₂ consumed:
* Mass of O₂ = (4 mol) * (32.00 g/mol) = 128 g
Therefore, 128 grams of O₂ were consumed in the reaction.