Acompact car gets 37.5 miles per gallon on the highway. if gasoline contains 84.2 percent carbon by mass and has a density of 0.82059 g/ml, determine the mass of carbon dioxide produced during a 500 mile trip(3.785 litres per gallon)

127,849.7891 grams of of carbon dioxide produced during a 500 mile trip.

Explanation:

Mileage of the compact car = 37.5 mile/gal

Miles covered through out the trip = 500 mile

Gallons of gasoline used up through out the trip =

=

(1 gal = 3.785 L) given

Density of the gasoline =d=  0.82059 g/L

Mass of the gasoline = m

Volume of the gasoline ,V = 50.465 L = 50,465 mL

Mass percentage of carbon = 84.2%

Mass of carbon in 41,411.074 g of gasoline be x.

x = 34,868.1243 g

Moles of carbon =

According to reaction , 1 mol carbon gives 1 mole of carbon dioxide.

Then 2905.6770 moles of carbon will produce:

of carbon dioxide

Mass of 2905.6770 moles of carbon dioxide:

127,849.7891 grams of of carbon dioxide produced during a 500 mile trip.