To determine the number of moles of methane required to produce 22 g of carbon dioxide, we need to consider the balanced chemical equation for the combustion of methane:
CH4 + 2O2 -> CO2 + 2H2O
From the equation, we can see that for every one mole of methane (CH4) that reacts, one mole of carbon dioxide (CO2) is produced. The molar mass of carbon dioxide is approximately 44 g/mol.
To calculate the number of moles of methane, we can use the molar mass of methane, which is approximately 16 g/mol.
Given that the mass of carbon dioxide produced is 22 g, we can use the following calculation:
Moles of methane = Mass of carbon dioxide / Molar mass of carbon dioxide
Moles of methane = 22 g / 44 g/mol
Moles of methane = 0.5 mol
Therefore, 0.5 moles of methane are required to produce 22 g of carbon dioxide.