A certain fuel-efficient hybrid car gets gasoline mileage of 55.0 mpg (miles per gallon). (a) If you are driving this car in Europe and want to compare its mileage with that of other European cars, express this mileage in km/L (L = liter).

Verified step by step guidance

1. First, understand the conversion factors needed: 1 mile is approximately 1.60934 kilometers, and 1 gallon is approximately 3.78541 liters.
2. Convert the mileage from miles per gallon (mpg) to kilometers per gallon (km/gal) by multiplying 55.0 mpg by the conversion factor from miles to kilometers: 55.0 miles/gallon * 1.60934 km/mile.
3. Now, convert the result from kilometers per gallon to kilometers per liter (km/L) by dividing the kilometers per gallon by the conversion factor from gallons to liters: (result from previous step) km/gallon / 3.78541 liters/gallon.
4. This will give you the mileage in kilometers per liter (km/L), which is the desired unit for comparison with European cars.
5. Ensure all units are correctly converted and check the calculations for accuracy to ensure the final expression is in km/L.

Key Concepts

Unit Conversion

Unit conversion is the process of converting a given measurement to a different unit without changing its value. In this context, it involves converting miles per gallon (mpg) to kilometers per liter (km/L). This requires knowing the conversion factors between miles and kilometers, and gallons and liters.

Distance Conversion

Distance conversion is essential for changing the unit of distance from miles to kilometers. The standard conversion factor is 1 mile equals approximately 1.60934 kilometers. This conversion is crucial for expressing the car's mileage in terms of kilometers per liter.

Volume Conversion

Volume conversion involves changing the unit of volume from gallons to liters. The conversion factor is 1 gallon equals approximately 3.78541 liters. This step is necessary to complete the conversion of fuel efficiency from miles per gallon to kilometers per liter.