Chemistry Question

Question

Determine the amount (liters) of carbon dioxide produced if there if there were 28.63 liters of oxygen injected into the manifold of the below experimental combustion engine at 76.4% efficiency. Manifold combustion conditions were 3.98 atm (atmospheres) and 726.8^o C.

C₉H₁₆+13O₂ -> 9CO₂ +8H₂O + energy ↑

Answer 1

C₉H₁₆+13O₂ -> 9CO₂ +8H₂O

You can solve this using liters, but it may be easier to follow/understand if you go through moles then back to liters.

Determine moles O₂ used:

From PV = nRT, n = PV/RT

n = (3.98)(28.63)/(0.0821)(999.8) = 1.39 moles O₂

moles CO₂ = 1.39 mol O₂ x 9 mol CO₂/13 mol O₂ = 0.961 mol CO₂

Now, correct this for efficiency: 0.961 x 0.764 = 0.734 mol CO₂

Liters CO₂: PV = nRT and V = nRT/P

V = (0.734)(0.0821)(999.8)/3.98

V = 15.1 liters