Andrew R. answered 12/09/22
Experienced MD/MBA/MS - 4yr Tutor Experience
First, we need a balanced equation for the reaction:
2 C3H8O + 9 O2 → 6 CO2 + 8 H2O
Next, we need to calculate the moles of each reactant from the masses provided:
7.5 g 1-propanol x (1mol 1-propanol/60.1 g 1-propanol) = 0.1247 mol 1-propanol
54 g O2 x (1mol O2/31.99g O2) = 1.687 mol O2
Then we need to identify which reactant is the limiting reactant:
0.1247 mol 1-propanol x (9 mol O2/2 mol 1-propanol) = 0.5615 mol O2 needed to fully react with 1-propanol in this reaction, which we definitely have (1.687 mol O2)
1.687 mol O2 x (2 mol 1-propanol/9 mol O2) = 0.3748 mol 1-propanol needed to fully react with O2 in this reaction, which we DO NOT have (0.1247 mol 1-propanol)
Therefore, our limiting reactant is 1-propanol, which makes sense because most combustion that occurs in nature is limited by the hydrocarbon fuel source and not the massive amounts of oxygen in the atmosphere.
Next, let’s calculate the mass of CO2 released in this reaction:
0.1247 mol 1-propanol x (6 mol CO2/2 mol 1-propanol) x (44.01 g CO2 / 1 mol CO2) = 16.46 g CO2 released
Finally, the excess reactant:
1.687 mol O2 - 0.5615 mol O2 = 1.1255 mol O2 left x (31.99 g O2/1mol O2) = 36 g O2 excess