Q. Mass of methane required to produce 22 g of CO₂ after complete
combustion is ______ g.
(Given molar mass in g mol⁻¹: C = 12.0, H = 1.0, O = 16.0)
Explanation
Step 1: Write balanced chemical equation
CH₄ + 2O₂ → CO₂ + 2H₂O
Step 2: Calculate moles of CO₂ produced
Molar mass of CO₂ = 12 + (2×16) = 44 g mol⁻¹
Moles of CO₂ = 22 ÷ 44 = 0.5 mol
Step 3: Use mole ratio from equation
1 mole CH₄ produces 1 mole CO₂
So, moles of CH₄ required = 0.5 mol
Step 4: Calculate mass of methane
Molar mass of CH₄ = 12 + (4×1) = 16 g mol⁻¹
Mass of CH₄ = 0.5 × 16 = 8 g
Correct Answer = 8