To find the total energy consumption, we need to calculate the amount of octane consumed in one year and then multiply it by the heat of combustion.
First, let's calculate the amount of octane consumed in one year.
The car is driven 10,000 miles in one year and gets 25 miles per gallon of octane. So, the number of gallons consumed in one year is:
10,000 miles / 25 miles per gallon = 400 gallons
Since we know that one gallon of octane has a mass of 2620 g, the total mass of octane consumed in one year is:
400 gallons * 2620 g = 1,048,000 g
Next, let's calculate the total energy consumption.
The heat of combustion of octane is given as 47.8 kJ/g. So, the total energy consumption in one year is:
1,048,000 g * 47.8 kJ/g = 50,105,600 kJ
Therefore, the total energy consumption is approximately 5.01 × 10^7 kJ.
Therefore, the correct answer is option 1. 5.01 × 10^7 kJ.