Textbook Question
The value of the euro was recently $1.15 U.S., and the price of 1 liter of gasoline in France is 1.42 euro. What is the price of 1 gallon of gasoline in U.S. dollars in France?
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Ch.1 - Matter, Measurement & Problem Solving
Chapter 1, Problem 117
The density of titanium is 4.51 g/cm3. What is the volume (in cubic inches) of 3.5 lb of titanium?
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Key Concepts
Here are the essential concepts you must grasp in order to answer the question correctly.
Density
Density is defined as mass per unit volume, typically expressed in grams per cubic centimeter (g/cm³) in the metric system. It is a crucial property that helps determine how much space a given mass of a substance will occupy. In this question, the density of titanium allows us to relate its mass to its volume, which is essential for solving the problem.
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01:56
Density Concepts
Unit Conversion
Unit conversion is the process of converting a quantity expressed in one set of units to another. In this question, we need to convert the mass of titanium from pounds to grams and the volume from cubic centimeters to cubic inches. Understanding how to perform these conversions accurately is vital for obtaining the correct answer.
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01:56Conversion Factors
Mass-Volume Relationship
The mass-volume relationship is a fundamental concept in chemistry that describes how mass and volume are interrelated through density. By using the formula density = mass/volume, we can rearrange it to find volume when mass and density are known. This relationship is key to solving the question, as it allows us to calculate the volume of titanium based on its mass and density.
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01:09Relationship of Volume and Moles Example
Related Practice
Textbook Question
A thief uses a can of sand to replace a solid gold cylinder that sits on a weight-sensitive, alarmed pedestal. The can of sand and the gold cylinder have exactly the same dimensions (length = 22 and radius = 3.8 cm). a. Calculate the mass of each cylinder (ignore the mass of the can itself). (density of gold = 19.3 g/cm3, density of sand = 3.00 g/cm3) b. Does the thief set off the alarm? Explain.
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Textbook Question
The proton has a radius of approximately 1.0×10−13 cm and a mass of 1.7×10−24 g. Determine the density of a proton for a sphere V = (4/3)πr3.
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Textbook Question
The density of iron is 7.86 g/cm3. What is its density in pounds per cubic inch (lb/in3)?
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Textbook Question
A steel cylinder has a length of 2.16 in, a radius of 0.22 in, and a mass of 41 g. What is the density of the steel in g/cm3?
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Textbook Question
A solid aluminum sphere has a mass of 85 g. Use the density of aluminum to find the radius of the sphere in inches.
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