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  • Stoichiometry Calculation: Oxygen Consumption in Methane Reaction
    Here's how to solve this problem:

    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.

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