Answer:
45.45 moles of methane
Step-by-step explanation:
To answer this question, we need to use the balanced chemical equation for the combustion of methane (CH4):
CH4 + 2O2 -> CO2 + 2H2O
From the equation, we can see that 1 mole of methane (CH4) reacts to produce 1 mole of carbon dioxide (CO2).
Given that the mass of CO2 produced is 2000 g, we need to determine the number of moles of CO2. To do this, we divide the mass by the molar mass of CO2, which is approximately 44 g/mol.
Mass of CO2 = 2000 g
Molar mass of CO2 = 44 g/mol
Number of moles of CO2 = Mass of CO2 / Molar mass of CO2
= 2000 g / 44 g/mol
= 45.45 moles (rounded to two decimal places)
Since 1 mole of methane reacts to produce 1 mole of CO2, we would need the same number of moles of methane to produce 45.45 moles of CO2. Therefore, we would need 45.45 moles of methane to produce 2000 g of CO2.