How many kilograms of CO2 are produced?
If an automobile travels 125 miles with a gas mileage of 19.5 mil/gal, how many kilograms of CO2 are produced? Assume that gasoline is composed of ocatane, C8H18, whose density is .69 g/mL.
The complete combustion of octane can be written as:` `
`2C8H18 + 25O2 -> 16CO2 + 18H2O`
But first there some more steps until we get to the mass of CO2 in kilograms.
1. Find the total volume of Octane consumed.
`125 mil es *((1 gallon)/(19.5 mil es)) = 6.410256 gallons of Octane`
2. Convert gallons to mL
`6.410256 gallons * ((3785.41 mL)/(1 gallon)) = 24265.44872 mL of Octane`
3. Convert the mL to grams using the density
`24265.44872 mL * ((0.69 g)/(mL)) = 16743.15962 grams of Octane`
4. Since we now have the grams of octane, we can solve this by stoichiometry.
`16743.15962 grams C8H18 * ((1mol e C8H18)/(114 g C8H18)) * ((16mol es CO2)/(2 mol es C8H18)) * ((44 grams CO2)/(1mol e CO2)`
`= 51698.18 grams CO2`
5. Finally, convert grams of CO2 to kilograms as what is required in the problem.
`51698.18 grams CO2 * ((1 kilogram)/(1000 grams)) = 51.698 = 51.7 kilograms of CO2 `
the answer is 51.7 kilograms of CO2.