Write the balanced equation for the combustion of octane (C8H18). Assuming that gasoline is 100% octane, with a density of 0.692 g/mL, what mass of CO2 is produced by combustion of 1.7 1010 gal of gasoline?

Need help on how to get started, I have the balanced equation...

Find the mass of octane in that number of gallons with that density. Now the moles, and then use the balanced equation.

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5.01 x 10^7

To find the mass of CO2 produced by the combustion of 1.7 x 10^10 gallons of gasoline, you need to follow these steps:

1. Convert gallons to liters: Since 1 gallon is approximately equal to 3.785 liters, you can multiply the number of gallons by 3.785 to get the volume of gasoline in liters.

Volume (in liters) = 1.7 x 10^10 gallons * 3.785 liters/gallon

2. Convert liters to milliliters: Since 1 liter is equal to 1000 milliliters, you can multiply the volume in liters by 1000 to get the volume of gasoline in milliliters.

Volume (in milliliters) = Volume (in liters) * 1000 mL/L

3. Calculate the mass of gasoline using the density: The density of gasoline given is 0.692 g/mL. Multiply the volume in milliliters by the density to find the mass of gasoline.

Mass of gasoline = Volume (in milliliters) * Density

4. Use the balanced chemical equation: The balanced equation for the combustion of octane is:

2 C8H18 + 25 O2 → 16 CO2 + 18 H2O

From this equation, you can see that for every 2 moles of octane burned, 16 moles of CO2 are produced.

5. Convert mass of gasoline to moles of octane: Divide the mass of gasoline by the molar mass of octane (C8H18) to find the moles of octane.

Moles of octane = Mass of gasoline / Molar mass of octane

6. Use the molar ratio from the balanced equation: Multiply the moles of octane by the mole ratio of CO2 to octane from the balanced equation. In this case, the ratio is 16 mol CO2 / 2 mol octane.

Moles of CO2 = Moles of octane * (16 mol CO2 / 2 mol octane)

7. Convert moles of CO2 to mass: Multiply the moles of CO2 by the molar mass of CO2 (44.01 g/mol) to find the mass of CO2 produced.

Mass of CO2 = Moles of CO2 * Molar mass of CO2

Following these steps using the given values and the balanced equation, you will be able to calculate the mass of CO2 produced by the combustion of 1.7 x 10^10 gallons of gasoline.