Detailed Solution:
Step 1: Write the balanced chemical equation
CH₄ + 2O₂ → CO₂ + 2H₂O
Step 2: Calculate moles of CO₂ produced
Given mass of CO₂ = 11 g
Molar mass of CO₂ = 44 g mol⁻¹
Moles of CO₂ = 11 / 44 = 0.25 mol
Step 3: Use mole ratio from equation
From the balanced equation:
1 mol CH₄ produces 1 mol CO₂
Step 4: Calculate moles of methane required
Moles of CH₄ required = moles of CO₂ produced
= 0.25 mol
Correct Answer: 0.25 mol