
Robin B. answered 03/03/21
Highly experienced MCAT Tutor (521/ 98th percentile scorer)
First, you need to write the overall reaction!
Propane: C3H8
C3H8 + 5O2 -> 3CO2 + 4H2O
Second, convert 5 g of propane to moles!
The molar mass of propane: 44 g/mol
5 grams* 1/(44 g/mol) * (4 mol H2O)/(1 mol C3H8) = 5/11 mols of H2O
Third, multiply it with the molar mass of H2O: 18 g/mol
5/11 mols of H2O * 18 g/mol = 90/11 g of H2O
Lastly, to show conservation of mass as stated by the problem, you need to find how much oxygen is consumed, as well as how much CO2 is made.
5 grams* 1/(44 g/mol) * (5 mol O2)/(1 mol C3H8) = 25/44 mol O2
Molar mass of O2: 32 g/mol
25/44 of mol O2 * 32 g/mol = 200/11 g of O2
5 grams* 1/(44 g/mol) * (3 mol CO2)/(1 mol C3H8) = 15/44 mol of CO2
Molar mass of CO2: 44 g/mol
15/44 mol of CO2 * 44 g/mol = 15 g of CO2
Reactants: 5 g of C3H8 + 200/11 g of O2 = 255/11 g
Products: 90/11 g of H2O + 15 g of CO2 = 255/11 g
Thus, showing the conservation of mass!