What is the mass of CO2 that is produced if 10.0 grams of oxygen completely reacts?
To determine the mass of CO2 produced when 10.0 grams of oxygen is completely reacted, we need to consider the balanced chemical equation for the reaction between oxygen and carbon to form carbon dioxide (CO2):
2 C + O2 -> 2 CO2
From the equation, we can see that 1 mole of oxygen reacts with 2 moles of carbon to produce 2 moles of CO2.
First, we need to determine the moles of oxygen present in 10.0 grams:
molar mass of O2 = 32.00 g/mol
moles of O2 = mass / molar mass
moles of O2 = 10.0 g / 32.00 g/mol = 0.3125 mol
Since the reaction ratio between O2 and CO2 is 1:2, the moles of CO2 produced will be twice the moles of O2:
moles of CO2 = 2 * moles of O2
moles of CO2 = 2 * 0.3125 mol = 0.625 mol
Now, we can calculate the mass of CO2 produced from the moles of CO2 and the molar mass of CO2:
molar mass of CO2 = 44.01 g/mol
mass of CO2 = moles of CO2 * molar mass
mass of CO2 = 0.625 mol * 44.01 g/mol = 27.51 grams
Therefore, the mass of CO2 produced when 10.0 grams of oxygen completely reacts is 27.51 grams.