To properly calculate CO 2 emissions from automobiles, one must account for the

Question

To properly calculate CO2 emissions from automobiles, one must account for the carbon in fuel that is emitted in the form of CO and unburned hydrocarbons.

A) First calculate the grams of fuel consumed per mile of travel for a car that gets 16.2 mi/gal. The density of gasoline is 739.0g/L.

B) If the fuel composition is approximately C8H18, how many grams of carbon (total) are emitted per mile of travel?

C) If the CO emission rate is at the 1999 federal standard (2.7 g/mi), what percentage of the total carbon is emitted as CO?

Explanation / Answer

Answer:

The volume of gasoline required for 16.2 miles = 1 gallons

The volume of gasoline required for 1 mile = 1 / 16.2 gallons = 0.0617 gallons

One gallon = 3.79 L

The volume of gasoline required per mile in litres = 0.0617 X 3.79 = 0.234 Litres

Mass of gasoline required = Volume X density = 0.234 X 739.0 = 172.93 grams

Answer:

The molar mass of octane = 114 grams / mole

So in each mile the mass of gasoline required = 172.93 grams

In each mile the moles of gasoline required = Mass / Molar mass

                                                                     = 172.93 / 114 = 1.52 moles

The moles of carbon in each mole of octane = 8 moles

Mass of carbon in each mole = 12 X 8 = 96 grams

Mass of carbon in 1.52 moles = 96 X 1.52 = 145.92 grams (emitted per mile)

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