In: Chemistry
Small rocket engines, such as model rockets, contain KClO3 to provide oxygen for the combustion reaction fueling the rocket motor. The relevant reaction for KClO3 is: 2 KClO3(s) → 2 KCl(s) + 3 O2(g)
If 117.0 grams of solid KClO3 are burned in one of these rocket motors, how many liters of gaseous O2 are produced at 1.18 atm of pressure and 550.0 ºC?
moles of KClO3 = 117 / 122.55 = 0.9547
2 KClO3 (s) --------------> 2 KCl (s) + 3 O2 (g)
2 mol 3 mol
0.9547 mol ??
moles of O2 = 0.9547 x 3 / 2 = 1.432
moles of O2 = 1.432
pressure = 1.18 atm
temperature = 550. 0 oC = 823.15 K
P V = n R T
1.18 x V = 1.432 x 0.0821 x 823.15
V = 82.0 L
volume of O2 = 82.0 L