Ch.1 - Introduction: Matter, Energy, and Measurement

Problem 59c

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Chapter 1, Problem 59c

(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?

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Unit Conversion

Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, it involves converting kilometers to miles and liters to gallons. Understanding the conversion factors (1 km = 0.621371 miles and 1 L = 0.264172 gallons) is essential for accurately calculating the gas mileage.

Gas Mileage Calculation

Gas mileage, often expressed in miles per gallon (mpg), measures the distance a vehicle can travel per unit of fuel consumed. To calculate it, one divides the total distance traveled by the total volume of fuel used. This concept is crucial for evaluating vehicle efficiency and environmental impact.

Dimensional Analysis

Dimensional analysis is a mathematical technique used to convert one set of units to another by using conversion factors. It ensures that the units cancel appropriately, leading to the correct final units. In this problem, dimensional analysis helps in systematically converting kilometers and liters into miles and gallons to find the desired gas mileage.

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Dimensional Analysis

Related Practice

Carry out the following conversions: (e) $3.99/lb to dollars per kg

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Textbook Question

(a) How many liters of wine can be held in a wine barrel whose capacity is 31 gal?

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Textbook Question

(b) The recommended adult dose of Elixophyllin®, a drug used to treat asthma, is 6 mg/kg of body mass. Calculate the dose in milligrams for a 185-lb person.

(d) When the coffee is brewed according to directions, a pound of coffee beans yields 50 cups of coffee (4 cups = 1 qt). How many kg of coffee are required to produce 200 cups of coffee?

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Textbook Question

(a) If an electric car is capable of going 225 km on a single charge, how many charges will it need to travel from Seattle, Washington, to San Diego, California, a distance of 1257 mi, assuming that the trip begins with a full charge?

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Textbook Question

(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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