Respuesta :
The correct answer is 27.0 lb.
First, there is a need to write the combustion reaction of C₈H₁₈ (l):
2C₈H₁₈ (l) + 25 O₂ (g) → 16 CO₂ (g) + 18 H₂O (g)
Now convert the volume of octane from gallons to ml,
1.0 gallon = 3785.41 ml
1.5 gallons × 3785.41 ml / 1.0 gallon = 5685 ml
Now using formula of density calculate the mass of octane as follows:
Density = mass / volume
Mass = density × volume
mass octane = 5685 ml × 0.703 g / ml = 3996.6 g
Then there is a need to calculate the number of moles of octane with its molar mass:
moles octane = 3996.6 g (1 mole of C₈H₁₈) / 114.23 g = 34.987 mol
2 mole of C₈H₁₈ produce 16 CO₂
34.987 mole C₈H₁₈ will produce 16CO₂ / 2 mol C₈H₁₈ × 34.987 mol C₈H₁₈ = 279.9 moles CO₂
Now there is a need to convert the moles of CO₂ into its mass with its molar mass as follows:
mass CO₂ = 279.9 moles × 44.009 g/mol = 12318 g CO₂ = 12.318 Kg
Now, 1 Kg = 2.20 lb
12.318 Kg (2.20 lb) / 1.00 Kg = 27.0 lb
