how many moles of methane are required to produce 22g of CO2 after combustion
0.5 moles of methane
To find out how many moles of methane are required to produce 22g of CO2 after combustion, you'll need to use the stoichiometry of the balanced chemical equation. The balanced equation for the combustion of methane is:
CH4 + 2O2 -> CO2 + 2H2O
From the equation, we can see that 1 mole of CH4 produces 1 mole of CO2. Therefore, we first need to calculate the molar mass of CO2 to convert the given mass of CO2 into moles.
The molar mass of CO2 is 44.01 g/mol (1 carbon atom with a molar mass of 12.01 g/mol and 2 oxygen atoms with a molar mass of 16.00 g/mol each).
Now, we can use the formula:
moles = mass / molar mass
So, substituting the values:
moles of CO2 = 22g / 44.01 g/mol = 0.499 moles of CO2
Since 1 mole of CH4 produces 1 mole of CO2, we can conclude that 0.499 moles of CH4 are required to produce 0.499 moles of CO2.