Final answer:
The theoretical yield of CO2 that can be produced from 24 grams of CH4 is 65.841 grams, based on the stoichiometry of the balanced chemical equation.
Step-by-step explanation:
To calculate the theoretical yield of CO2 that can be produced from 24 grams of CH4, you need to use stoichiometry based on the balanced chemical equation: CH4 + 2O2 → CO2 + 2H2O. This equation tells us that 1 mole of methane (CH4) produces 1 mole of carbon dioxide (CO2). First, calculate the number of moles of CH4 you have by dividing the mass of CH4 by its molar mass (16.04 g/mol). 24 g ÷ 16.04 g/mol = 1.496 moles of CH4. As the reaction produces 1 mole of CO2 for every 1 mole of CH4 reacted, 1.496 moles of CH4 will produce 1.496 moles of CO2. Finally, convert moles of CO2 to grams using the molar mass of CO2 (44.01 g/mol). The theoretical yield of CO2 is 1.496 moles x 44.01 g/mol = 65.841 g of CO2.