Estimating Energy in a Gallon of Gasoline

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SUMMARY

The energy content in a gallon of gasoline can be estimated by calculating the total energy from carbon atoms present in the fuel. Using octane (C8H18) as a representative chemical formula, one must first determine the weight of gasoline in a gallon, which is approximately 2.8 kg. With 6.022 x 10^23 atoms per mole and 4 eV of energy per carbon atom, the total energy can be converted to joules using the conversion factor of 1 eV = 1.60217646 × 10^-19 joules.

PREREQUISITES
  • Chemical formula of octane (C8H18)
  • Understanding of moles and Avogadro's number (6.022 x 10^23 atoms/mole)
  • Knowledge of energy conversion from electron volts (eV) to joules (J)
  • Basic understanding of density and mass calculations
NEXT STEPS
  • Research the density of gasoline and its components
  • Learn about the conversion of electron volts to joules
  • Study the concept of moles and how to calculate them from mass
  • Explore energy content calculations for different fuels
USEFUL FOR

Students in chemistry or physics, energy researchers, and anyone interested in understanding the energy content of fuels like gasoline.

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Homework Statement


Estimate the amount of energy (in J) in a gallon of gasoline by imagining that there is about 4 eV of energy for every carbon atom.


The Attempt at a Solution


I don't know of any equations that would relate eV to J. But I do know that there are 6.022 x 10^23 atoms/mole.

How do I get started on this?
 
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fk378 said:

Homework Statement


Estimate the amount of energy (in J) in a gallon of gasoline by imagining that there is about 4 eV of energy for every carbon atom.

The Attempt at a Solution


I don't know of any equations that would relate eV to J. But I do know that there are 6.022 x 10^23 atoms/mole.

How do I get started on this?

First you will need to know what the chemical formula for gasoline is won't you? (Maybe use octane as representative?) Then know much by weight in a gallon.
http://en.wikipedia.org/wiki/Gasoline#Density
Then how many moles that represents.
Then count your carbon footprint and multiply by 4 eV
And then convert to Joules.
Wikipedia said:
1 electron volt = 1.60217646 × 10-19 joules
 

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