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Ch.1 - Introduction: Matter, Energy, and Measurement
All textbooksBrown 15th EditionCh.1 - Introduction: Matter, Energy, and MeasurementProblem 65
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?

Verified step by step guidance
1
Step 1: Convert the density from g/cm^3 to lb/ft^3. Use the conversion factors: 1 lb = 453.592 g and 1 ft = 30.48 cm.
Step 2: Calculate the volume of the rectangular block in cm^3 using the formula: Volume = length × width × height.
Step 3: Multiply the volume of the block by the density of tungsten in g/cm^3 to find the mass in grams.
Step 4: Convert the mass from grams to kilograms using the conversion factor: 1 kg = 1000 g.
Step 5: Ensure that the final answer for the mass is reported with the correct number of significant figures based on the given measurements.

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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
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Textbook Question

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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.)

Textbook Question

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