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,...

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. 

Asked on by etyler09

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jerichorayel | College Teacher | (Level 2) Senior Educator

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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.

 

Sources:

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