Final answer:
The average flow rate of gasoline to the engine of a car traveling at 100 km/h with an average fuel efficiency of 10.0 km/L is 2.78 cm³/s.
Step-by-step explanation:
To find the average flow rate of gasoline to the engine of a car, we need to convert the given average fuel efficiency from km/L to L/s and then to cm³/s.
First, we convert the average fuel efficiency from km/L to L/km. Since there are 1000 m in 1 km, this equals 10.0 L/100 km.
To convert to L/s, we divide by the time it takes to travel 100 km at 100 km/h.
This is 1 hour or 3600 seconds. So, the fuel efficiency is 10.0 L/36,000 s.
Finally, to convert to cm³/s, we multiply by 1000 cm³/L to get a flow rate of 0.2778 cm³/s.
Therefore, the average flow rate of gasoline to the engine of a car traveling at 100 km/h, with an average fuel efficiency of 10.0 km/L, is 2.78 cm³/s (option a).