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

Problem 80c

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Chapter 1, Problem 80c

The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (c) How much money would this stack contain?

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Key Concepts

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

Mass and Volume Relationship

Understanding the relationship between mass and volume is crucial in this context. The mass of the quarter is given, and knowing the density of the material can help calculate the volume of a single quarter. This relationship is foundational in determining how many quarters can fit into a given space.

Stack Height Calculation

To find out how much money a stack of quarters contains, one must calculate the total height of the stack. Given the thickness of a single quarter, the total height can be determined by multiplying the number of quarters by the thickness. This calculation is essential for determining the monetary value of the stack.

Monetary Value of Quarters

Each U.S. quarter has a fixed monetary value of 25 cents. To find the total amount of money in a stack of quarters, one must multiply the number of quarters by this value. This concept ties together the physical properties of the quarters with their economic value, allowing for a complete answer to the question.

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Related Practice

The distance from Earth to the Moon is approximately 240,000 mi. (d) Earth travels around the Sun at an average speed of 29.783 km/s. Convert this speed to miles per hour.

Which of the following would you characterize as a pure or nearly pure substance?

a. baking powder

b. lemon juice

c. propane gas, used in outdoor gas grills

d. aluminum foil

e. ibuprofen

f. bourbon whiskey

g. helium gas

h. clear water pumped from a deep aquifer

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Textbook Question

The U.S. quarter has a mass of 5.67 g and is approximately 1.55 mm thick. (a) How many quarters would have to be stacked to reach 575 ft, the height of the Washington Monument?

1587

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Open Question

An Olympic swimming pool is 164 ft long and 82 ft wide. Assume that it is filled to a depth of 3.0 m, which is the Olympic recommendation.

a. What volume of water in gal is needed to fill the pool?

b. What volume of water in L is needed to fill the pool?

c. The U.S. Geological Survey estimates that in 2015 U.S. domestic use of water was 82 gal/day per person. Using this value for daily usage, for what length of time could the water used to fill an Olympic swimming pool provide the domestic water usage for a community of 25,000 residents?

Textbook Question

A watt is a measure of power (the rate of energy change) equal to 1 J/s. (b) An adult person radiates heat to the surroundings at about the same rate as a 100-watt electric incandescent light bulb. What is the total amount of energy in kcal radiated to the surroundings by an adult over a 24 h period?

1155

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Textbook Question

Two spheres of equal volume are placed on the scales as shown. a. Which one is more dense?

407

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