How many megajoules are released when 9.0 gal of gasoline burns.
how do I start to do this problem, and what are the steps to get there.
thank you
1. Write and balance the equation.
2. Use density gasoline to convert 9.0 gallons to grams.
3. Look up the heat of combustion or calculate it from the delta H formation values.
4. heat combustion x (grams gasoline/molar mass gasoline).
Post your work or supply details (numbers) if you run into trouble.
6.7mJ
To calculate the amount of energy released when 9.0 gallons of gasoline burn, you need to follow these steps:
Step 1: Determine the energy content of gasoline.
Gasoline typically contains about 33.6 megajoules (MJ) of energy per gallon. This value may vary slightly depending on the specific fuel blend.
Step 2: Convert gallons to liters.
Since the energy content of gasoline is often provided in metric units, you need to convert 9.0 gallons to liters. One gallon is equal to approximately 3.785 liters.
9.0 gallons x 3.785 liters/gallon = 34.065 liters
Step 3: Calculate the energy released.
Multiply the energy content of gasoline by the volume in liters to obtain the total energy released.
34.065 liters x 33.6 megajoules/liter = 1142.424 megajoules
Therefore, approximately 1142.424 megajoules of energy would be released when 9.0 gallons of gasoline burn.
To calculate the amount of energy released when 9.0 gallons of gasoline burn, you can follow these steps:
Step 1: Convert gallons to liters.
Since most energy unit conversions are done using the metric system, it is helpful to convert gallons to liters. There are approximately 3.78541 liters in one gallon. So, to convert 9.0 gallons to liters, you would multiply 9.0 by 3.78541.
9.0 gallons * 3.78541 liters/gallon = 34.06869 liters
Step 2: Convert liters to cubic meters.
To proceed with the calculations, it's convenient to convert liters to cubic meters, as many energy conversion factors are expressed in this unit. Since there are 1000 liters in one cubic meter, you can convert liters to cubic meters by dividing the previous result by 1000.
34.06869 liters / 1000 = 0.03406869 cubic meters
Step 3: Determine the energy content of gasoline.
Gasoline has an energy content value called the lower heating value (LHV), typically measured in joules per cubic meter. The LHV of gasoline is approximately 31-33 megajoules per cubic meter. For simplicity, let's assume it to be 32 megajoules per cubic meter.
Step 4: Calculate the total energy released.
To calculate the total energy released, multiply the energy content (LHV) by the volume in cubic meters.
0.03406869 cubic meters * 32 megajoules/cubic meter ≈ 1.08909808 megajoules
Therefore, when 9.0 gallons of gasoline burns, approximately 1.089 megajoules of energy are released.
Keep in mind that the LHV value can vary depending on the composition and quality of gasoline.