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Ch.1 - Introduction: Matter, Energy, and Measurement
Chapter 1, Problem 65

The density of tungsten metal is 19.35 g/cm3.
a. What is the density of tungsten in pounds per cubic foot?
b. A rectangular block of tungsten has a length of 4.00 cm, a width of 2.00 cm, and a height of 1.50 cm. Using the correct number of significant figures, what is the mass of the block in kg?

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Key Concepts

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

Density Conversion

Density is defined as mass per unit volume, typically expressed in g/cm³ or kg/m³. To convert density from g/cm³ to pounds per cubic foot, one must use conversion factors: 1 g/cm³ equals approximately 62.43 lb/ft³. Understanding how to apply these conversion factors is essential for solving part (a) of the question.
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Volume Calculation

The volume of a rectangular block can be calculated using the formula: Volume = length × width × height. In this case, the dimensions are given in centimeters, so the volume will be in cm³. This calculation is crucial for determining the mass of the tungsten block in part (b) of the question.
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Significant Figures

Significant figures are the digits in a number that contribute to its precision. When performing calculations, the result should reflect the least number of significant figures from the measurements used. In part (b), it is important to apply the correct number of significant figures to the final mass calculation to ensure accuracy and adherence to scientific standards.
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Related Practice
Textbook Question

(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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(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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(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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Textbook Question

Gold can be hammered into extremely thin sheets called gold leaf. An architect wants to cover a 100 ft x 82 ft ceiling with gold leaf that is five-millionths of an inch thick. The density of gold is 19.32 g/cm3. If gold costs $1768 per troy ounce (1 troy ounce = 31.10348 g), how much will it cost the architect to buy the necessary gold?

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Textbook Question

A copper refinery produces a copper ingot weighing 150 lb. If the copper is drawn into wire whose diameter is 7.50 mm, how many feet of copper can be obtained from the ingot? The density of copper is 8.94 g/cm3. (Assume that the wire is a cylinder whose volume 𝑉=𝜋𝑟2ℎ, where r is its radius and h is its height or length.)

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Textbook Question

Classify each of the following as a pure substance, a solution, or a heterogeneous mixture: b. a cup of coffee

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