CH4  +  2O2  →  CO2  +  2H2O 24 grams of CH4 was added to the above reaction. Calculate the theoretical yield of CO2.

To calculate the theoretical yield of CO2, we first need to understand the stoichiometry of the reaction. According to the balanced chemical equation:

CH4 + 2O2 → CO2 + 2H2O

This tells us that one mole of CH4 reacts to produce one mole of CO2.

Step 1: Calculate the molar mass of CH4 The molar mass of CH4 is approximately 16.04 g/mol (12.01 g for one C atom + 4.03 g for four H atoms).

Step 2: Calculate the number of moles of CH4 We have 24 g of CH4. To find the number of moles, we use the formula:

Number of moles = mass / molar mass Number of moles of CH4 = 24 g / 16.04 g/mol = 1.5 moles

Step 3: Calculate the number of moles of CO2 produced According to the balanced chemical equation, one mole of CH4 produces one mole of CO2. Therefore, 1.5 moles of CH4 will produce 1.5 moles of CO2.

Step 4: Calculate the mass of CO2 produced The molar mass of CO2 is approximately 44.01 g/mol (12.01 g for one C atom + 32.00 g for two O atoms). Therefore, the mass of CO2 produced is:

Mass = number of moles * molar mass Mass of CO2 = 1.5 moles * 44.01 g/mol = 66.015 g

Therefore, the theoretical yield of CO2 is 66.015 g.