The heat of combustion of octane (C8H18) is 47.8 kJ/g and one gallon of C8H18 has a mass of 2620 g. If a car using octane is driven 10,000 miles in one year and gets 25 miles per gallon of octane, what is the total energy
consumption?
1. 5.01 × 107 kJ
2. 8.45 × 102 kJ
3. 34 × 107 kJ
4. 7.80 × 103 kJ
5. −13 × 103 kJ
See your later post.
express 47.2 in scientific notation?
To find the total energy consumption, we need to calculate the amount of octane (C8H18) burned and then multiply it by the heat of combustion.
First, let's calculate the amount of octane burned in one year. The car gets 25 miles per gallon, and it is driven 10,000 miles in one year, so the total amount of octane burned is:
Total octane burned = 10,000 miles / 25 miles per gallon = 400 gallons
Next, let's calculate the total mass of octane burned. One gallon of octane has a mass of 2620 g, so the total mass of octane burned is:
Total mass of octane burned = 400 gallons * 2620 g/gallon = 1,048,000 g
Now, we can calculate the total energy consumption. The heat of combustion of octane is 47.8 kJ/g, so the total energy consumption is:
Total energy consumption = Total mass of octane burned * Heat of combustion
= 1,048,000 g * 47.8 kJ/g
= 50,034,400 kJ
Therefore, the total energy consumption is 5.01 × 107 kJ (Option 1).
To find the total energy consumption, we need to calculate the amount of octane consumed and then multiply it by the heat of combustion.
First, let's find the amount of octane consumed in one year.
Given that the car is driven 10,000 miles and gets 25 miles per gallon, the total number of gallons consumed in one year is:
10,000 miles / 25 miles per gallon = 400 gallons
Next, let's find the mass of octane consumed in one year.
Given that one gallon of C8H18 has a mass of 2620 grams, the total mass of octane consumed in one year is:
400 gallons * 2620 grams per gallon = 1,048,000 grams
Finally, let's calculate the total energy consumption.
Since the heat of combustion of octane is given as 47.8 kJ/g, we can multiply the mass of octane consumed by the heat of combustion:
1,048,000 grams * 47.8 kJ/g = 50,038,400 kJ
So, the total energy consumption is 50,038,400 kJ, which is approximately 5.01 × 10^7 kJ.
Therefore, the correct answer is option 1: 5.01 × 10^7 kJ.