Respuesta :
Answer:
5,747.82 pounds of [tex]CO_2[/tex] would your car release in a year if it was driven 170 miles per week.
Explanation:
Mileage of the car = 27.5 miles/gal
Distance driven by car in week = 170 miles
Distance driven by car in a day= [tex]\frac{170 miles}{7}=24.286 mile[/tex]
Volume of gasoline used in a day : V
[tex]\frac{24.286 mile}{27.5 miles/gal}=0.8831 gal=0.8831\times 3785.41 cm^3=3,342.96 cm^3[/tex]
[tex]1 gal = 3785.41 mL = 3785.41 cm^3[/tex]
Density of the gasoline = d= [tex]0.692 g/cm^3[/tex]
Mass of the gasoline used in a day = m
[tex]m=d\times V=0.692 g/cm^3\times 3,342.96 cm^3=2,313.33 g[/tex]
[tex]2C_8H_{18}+25O_2\rightarrow 16CO_2+18H_2O[/tex]
Moles of gasoline ( isooctane):
=[tex]\frac{2,313.33 g}{114 g/mol}=20.292 mol[/tex]
According to reaction , 2 moles of isooctane gives 16 moles of carbon dioxide gas.Then 20.292 mole isooctane will give :
[tex]\frac{16}{2}\times 20.292 mol=162.340 mol[/tex] of carbon dioxide gas
Mass of 162.340 moles of carbon dioxide gas :
162.340 mol × 44 g/mol = 7,142.91 g
Mass of carbon dioxide gas produced in a day = 7,142.91 g
1 year = 365 days
Mass of carbon dioxide gas produced in a 365 days:
= 365 × 7,142.91 g = 2,607,163.494 g
1 pound = 453.592 g
[tex] 2,607,163.494 g=\frac{ 2,607,163.494}{453.592} pounds=5,747.82 pounds[/tex]
5,747.82 pounds of [tex]CO_2[/tex] would your car release in a year if it was driven 170 miles per week.
