J.R. S. answered 12/07/21
Ph.D. University Professor with 10+ years Tutoring Experience
Hi Cindy,
First thing is we must write the correctly balanced equation for the reaction taking place:
C3H8 + 5O2 ==> 3CO2 + 4H2O ... balanced equation
Next, we use the stoichiometry of the balanced equation to find which reactant is limiting. One easy way to do this is to divide the mols or liters of each reactant by the corresponding coefficient in the balanced equation and whichever value is less that is the limiting reactant....
For C3H8: 2.3 L (÷1->2.3)
For O2: 8.5 L (÷5->1.7)
Since 1.7 is less than 2.3, O2 is the limiting reactant and will determine the amount of CO2 that can form.
8.5 L O2 x 3 L CO2 / 5 L O2 = 5.1 L CO2 formed
Since the system is at STP, we know that 1 mol of gas = 22.4 L, so we can now convert 5.1 L CO2 to mols CO2 and then to grams CO2 ...
5.1 L CO2 x 1 mol / 22.4 L = 0.228 mols CO2
0.228 mols CO2 x 44 g CO2 / mol = 10.0 g CO2 = 10. g CO2 (2 sig. figs.)