The car I drive is a Toyota Prius C; its average mileage rating is 51.0 mpg. Con

Question

The car I drive is a Toyota Prius C; its average mileage rating is 51.0 mpg. Convert this rating into units of kilometers traveled per liter of gasoline consumed. b. Gasoline is a mixture of several hydrocarbon compounds, but let's assume that it consists of only one: nonane. If the density of nonane is 0.718 g/mL. use the result from part a to calculate how many kilometers the Prius C can travel on one kilogram of gasoline. c. The chemical formula for nonane is C_9H_20. Using this formula, write a balanced equation for the combustion of nonane. d. Using the mass-to-moles-to-moles-to-mass process and your balanced equation from part c, determine how many grams of CO_2 is produced for every 1000. grams of nonane combusted. e. Using the quantity of CO_2 produced in part d and the kilometer distance traveled from part b, calculate the grams of CO_2 generated by my Prius for every kilometer that I drive it.

Explanation / Answer

Q1a

51 miles per galon --> km per liter

51 mi /gal * 1 gal / 3.78 L * 1.609 km / mi = 21.70873 km/l

b)

1 kg of gasoline...

V = mass/D = 1/0.718 = 1.39 Liters

distance = Rate* V = 21.70873 *1.39 = 30.175 km for such amount of kg of gasloine

c

C9H20 + O2 --> CO2 + H2O

balance C

C9H20 + O2 --> 9CO2 + H2O

balance H

C9H20 + O2 --> 9CO2 + 10H2O

balance O

C9H20 + 14O2 --> 9CO2 + 10H2O

d)

grams of CO2: 1000 g of nonane

mol of nonane = mass/MW = 1000/128.2 = 7.80 mol of noane

ratio is 1:9

7.80 mol of nonane = 7.80*9 = 70.2 mol of CO2

mass = mol*MW = 70.2*44 = 3088.8 g of CO2

ratio is

3088.8/1000 = 3.08 ratio

e

for every km..

1000 g of nonane --> 3088.8 g of CO2 produced

1 kg --> 30.175 km

so..

per km --> 1 kg gas /30.175 km * 3088.8 g of CO2 / kg of gas = 102.36 g of CO2 per km

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