How many pounds of carbon dioxide are produced from burning one gallon of gasoline? assume gasoline is 100%, and the density of octane is .78g/ml.
Write the equation and balance it.
Convert 1 gallon octane to mL, then use the density to convert to grams.
Convert grams octane to mols octane (mols octane = grams/molar mass).
Using the coefficients in the balanced equation, convert mols octane to mols CO2.
Convert mols CO2 to grams CO2 by using grams CO2 = mols CO2 x molar mass CO2.
Convert g CO2 to pounds CO2.
Check my thinking. Post your work if you get stuck.
thanks DrBob222 I appreciated your help
What is Kc if [CO2]=[H2O]=0.01M and [C2H4]=[O2]=0.0001M
To determine the number of pounds of carbon dioxide produced from burning one gallon of gasoline, we need to follow a few steps. Here's how:
1. Convert the density of octane to pounds per gallon:
Density of octane = 0.78 g/ml
There are 3.78541 liters in a gallon, and assuming the density remains constant across these units of measurement, we can multiply the density by the conversion factor:
Density of octane = 0.78 g/ml * (3.78541 l / 1 gallon) = 2.94725 g/gallon
2. Calculate the molecular weight of carbon dioxide (CO2):
Carbon (C) atomic weight = 12.01 g/mol
Oxygen (O) atomic weight = 16.00 g/mol
Molecular weight of CO2 = (12.01 g/mol * 1) + (16.00 g/mol * 2) = 44.01 g/mol
3. Determine the molar mass of octane (C8H18):
Carbon (C) atomic weight = 12.01 g/mol
Hydrogen (H) atomic weight = 1.01 g/mol
Molar mass of octane = (12.01 g/mol * 8) + (1.01 g/mol * 18) = 114.23 g/mol
4. Calculate the molar ratio of CO2 produced per octane burned:
For every mole of octane burned, 8 moles of CO2 are produced.
Molar ratio of CO2 to octane = 8 mol CO2 / 1 mol C8H18
5. Find the number of moles of octane in one gallon:
Convert the density of octane from step 1 to moles per gallon:
Moles of octane = (2.94725 g/gallon) / (114.23 g/mol)
6. Calculate the number of moles of CO2 produced:
Moles of CO2 = Moles of octane * (8 mol CO2 / 1 mol C8H18)
7. Convert the moles of CO2 to pounds:
Since there are 453.592 grams in a pound, we can multiply the moles of CO2 by the molecular weight of CO2 and divide by the conversion factor:
Pounds of CO2 = (Moles of CO2 * (44.01 g/mol)) / 453.592 g/lb
Putting it all together, we'll get the final result. Keep in mind that all the given values are approximations:
Pounds of CO2 produced from burning one gallon of gasoline ≈ (Moles of octane * 8 mol CO2/ 1 mol C8H18) * (44.01 g/mol) / 453.592 g/lb