(c) If an automobile is able to travel 400 km on 47.3 L of gasoline, what is the gas mileage in miles per gallon?
Ch.1 - Introduction: Matter, Energy, and Measurement

Brown15th EditionChemistry: The Central ScienceISBN: 9780137542970Not the one you use?Change textbook
Chapter 1, Problem 62d
(d) In March 1989, the Exxon Valdez ran aground and spilled 240,000 barrels of crude petroleum off the coast of Alaska. One barrel of petroleum is equal to 42 gal. How many liters of petroleum were spilled?
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Identify the total number of barrels spilled: 240,000 barrels.
Recognize the conversion factor between barrels and gallons: 1 barrel = 42 gallons.
Calculate the total number of gallons spilled by multiplying the number of barrels by the conversion factor (240,000 barrels * 42 gallons/barrel).
Use the conversion factor between gallons and liters: 1 gallon = 3.78541 liters.
Convert the total gallons to liters by multiplying the total gallons by the conversion factor (total gallons * 3.78541 liters/gallon).

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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Volume Conversion
Volume conversion is the process of changing a measurement from one unit to another. In this case, we need to convert barrels of petroleum to gallons and then to liters. Understanding the conversion factors, such as 1 barrel equals 42 gallons and 1 gallon equals approximately 3.78541 liters, is essential for accurately calculating the total volume of petroleum spilled.
Unit of Measurement
Units of measurement are standardized quantities used to express physical properties. In this question, we are dealing with barrels, gallons, and liters, which are all units of volume. Recognizing the differences between these units and their appropriate contexts is crucial for performing accurate calculations and ensuring the results are meaningful.
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Dimensional Analysis
Dimensional analysis is a mathematical technique used to convert one set of units to another by multiplying by conversion factors. This method ensures that units cancel appropriately, leading to the desired unit in the final answer. It is particularly useful in chemistry for solving problems involving different units, such as converting the volume of oil from barrels to liters in this scenario.
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