The diameter of a hydrogen atom is 212 pm. Find the length in kilometers of a row of 6.02×1023 hydrogen atoms. The diameter of a ping pong ball is 4.0 cm. Find the length in kilometers of a row of 6.02×1023 ping pong balls.
Ch.1 - Matter, Measurement & Problem Solving

Chapter 1, Problem 132
The Honda Insight, a hybrid electric vehicle, has an EPA gas mileage rating of 41 mi/gal in the city. How many kilometers can the Insight travel on the amount of gasoline that would fit in a soda can? The volume of a soda can is 355 mL.
Verified step by step guidance1
Convert the volume of gasoline from milliliters to gallons. Use the conversion factor: 1 gallon = 3,785.41 mL.
Calculate the distance in miles that the Honda Insight can travel using the gas mileage rating of 41 miles per gallon.
Convert the distance from miles to kilometers. Use the conversion factor: 1 mile = 1.60934 kilometers.
Combine the conversions to find the total distance in kilometers that the Honda Insight can travel on 355 mL of gasoline.
Review the steps to ensure all unit conversions are correct and consistent.

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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 is essential to convert the volume of gasoline from milliliters (mL) to liters (L) and then to gallons, as the gas mileage is given in miles per gallon. Understanding how to perform these conversions accurately is crucial for solving the problem.
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Conversion Factors
Gas Mileage
Gas mileage refers to the distance a vehicle can travel per unit of fuel consumed, typically expressed in miles per gallon (mpg) or kilometers per liter (km/L). In this case, the Honda Insight's gas mileage of 41 mpg indicates how far it can travel on one gallon of gasoline. This concept is vital for determining the total distance the vehicle can cover based on the amount of fuel available.
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Volume of Fuel
The volume of fuel is the amount of liquid fuel available for consumption, which in this scenario is represented by the volume of a soda can (355 mL). To find out how far the Honda Insight can travel, one must first convert this volume into a compatible unit (gallons) and then apply the gas mileage to calculate the distance. Understanding the relationship between volume and distance traveled is key to solving the problem.
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A solid aluminum sphere has a mass of 36 g. Use the density of aluminum to find the radius of the sphere in inches.
