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11 days ago

11

Automobiles are often implicated as contributors to global warming because they are a source of the greenhouse gas CO2. How many

pounds of CO2 would your car release in a year if it was driven 170. miles per week? Gasoline is a complex mixture of hydrocarbons. In your calculations, assume that gasoline is isooctane (molecular formula C8H18) and that it is burned completely to CO2 and H2O in the engine of your car. Also assume that the car averages 27.5 miles per gallon and that the density of isooctane is 0.692 g cm-3.

1 answer:

lions [2.6K]11 days ago

7 0

Answer:

Your vehicle would emit 5,747.82 pounds of $CO_2$ in a year if it were operated for 170 miles each week.

Explanation:

Car's fuel efficiency = 27.5 miles/gal

Weekly distance covered = 170 miles

Distance driven per day = $\frac{170 miles}{7}=24.286 mile$

Daily gasoline volume: V

$\frac{24.286 mile}{27.5 miles/gal}=0.8831 gal=0.8831\times 3785.41 cm^3=3,342.96 cm^3$

$1 gal = 3785.41 mL = 3785.41 cm^3$

Gasoline density = d= $0.692 g/cm^3$

Daily gasoline mass = m

$m=d\times V=0.692 g/cm^3\times 3,342.96 cm^3=2,313.33 g$

$2C_8H_{18}+25O_2\rightarrow 16CO_2+18H_2O$

Gasoline moles (isooctane):

= $\frac{2,313.33 g}{114 g/mol}=20.292 mol$

The chemical reaction shows that 2 moles of isooctane produce 16 moles of carbon dioxide gas. Therefore, 20.292 moles of isooctane will generate:

$\frac{16}{2}\times 20.292 mol=162.340 mol$ carbon dioxide gas

The mass of 162.340 moles of carbon dioxide gas:

162.340 mol × 44 g/mol = 7,142.91 g

Daily carbon dioxide mass produced = 7,142.91 g

1 year = 365 days

Total carbon dioxide mass produced in 365 days:

= 365 × 7,142.91 g = 2,607,163.494 g

1 pound = 453.592 g

$2,607,163.494 g=\frac{ 2,607,163.494}{453.592} pounds=5,747.82 pounds$

Your car would emit 5,747.82 pounds of $CO_2$ if driven 170 miles weekly over a year.

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