Answer:
6 g
Step-by-step explanation:
The balanced equation for the reaction is:
CH4 + 2O2 → CO2 + 2H2O
Using the balanced equation, we can see that 1 mole of CH4 reacts with 2 moles of O2 to produce 1 mole of CO2 and 2 moles of H2O.
We first need to calculate the number of moles of water produced:
20.0 g H2O × (1 mol H2O/18.015 g H2O) = 1.11 mol H2O
Since 1 mole of CH4 produces 1 mole of CO2, we know that the number of moles of CO2 produced is also 1.11 mol.
Now we can use the molar mass of CO2 to convert moles to grams:
1.11 mol CO2 × (44.01 g CO2/1 mol CO2) = 48.85 g CO2
Therefore, the mass of CO2 produced in the reaction is approximately 6 g.