Question

The energy expenditure value of traveling by car is 3.6 MJ/passenger-kilometer. For one person making a trip of 1000 km, if a gallon of gasoline contains 120 MJ, approximately how many gallons of gasoline would be required?

A. 3
B. 9
C. 30
D. 60
E. 90

Answer 1

Approximately 0.00003 gallons of gasoline would be required for a trip of 1000 km by one person.

Step-by-step explanation:

To determine the number of gallons of gasoline required for a trip of 1000 km by one person, we can use the energy expenditure value for traveling by car, which is 3.6 MJ/passenger-kilometer.

First, we need to convert the energy expenditure value to joules per kilometer for one person. This can be done by multiplying the energy expenditure value by 1,000 (to convert from MJ to J) and then dividing it by 1000 (to account for the kilometer unit).

So, the energy expenditure value for one person traveling 1 km is 3.6 J/km. Since the trip is 1000 km, we can multiply the energy expenditure value by 1000 to find the total energy required. This gives us 3.6 * 1000 = 3600 J.

Next, we can convert the energy required to gallons of gasoline by dividing it by the energy content of gasoline, which is 120 MJ/gallon or 120,000,000 J/gallon. So, the number of gallons of gasoline required is 3600 J / 120,000,000 J/gallon = 0.00003 gallons.

Therefore, approximately 0.00003 gallons of gasoline would be required for a trip of 1000 km by one person.