How many moles of CH4 are required to produce 110 gram of CO₂ by combustion?

CONCEPT:

Combustion of Methane (CH₄)

• The combustion of methane (CH₄) in the presence of oxygen (O₂) produces carbon dioxide (CO₂) and water (H₂O).
• The balanced chemical equation for the combustion of methane is:

  CH₄ + 2O₂ → CO₂ + 2H₂O

EXPLANATION:

• First, determine the molar mass of CO₂:
  • Carbon (C) = 12.01 g/mol
  • Oxygen (O) = 16.00 g/mol
  • Molar mass of CO₂ = 12.01 + (2 x 16.00) = 44.01 g/mol
• Next, calculate the number of moles of CO₂ produced from 110 grams of CO₂:
  • Moles of CO₂ = Mass / Molar mass
  • = 110 g / 44.01 g/mol
  • = 2.5 moles of CO₂
• According to the balanced chemical equation, 1 mole of CH₄ produces 1 mole of CO₂.
• Therefore, to produce 2.5 moles of CO₂, we need 2.5 moles of CH₄.

Therefore, 2.5 moles of CH₄ are required to produce 110 grams of CO₂ by combustion.