Answer to Question #139990 in General Chemistry for Emily

Question

Octane (C3H18) is a major component of gasoline. When octane burns in excess oxygen water is produced as well as carbon dioxide. The density of gasoline is 0.79gmL-1. What volume of carbon dioxide(at STP) is produced from the combustion of 1.0L of octane.

Answer 1

The equation of the given reaction is

2C₈H₁₈ + 25O₂ --> 16CO₂ + 18H₂O

The mass of octane equals $0.79g/mL\times1000mL=790g$

$n (CO_2)=\frac{790g (C_8H_{18})}{114.2g/mol}\times\frac{16mol(CO_2)}{2mol(C_8H_{18})}=55.3mol$

$V(CO_2)=55.3mol\times22.4L/mol=1.24\cdot10^3L$

Answer: $1.24\cdot10^3L$