Textbook Question
In France, grapes are 1.95 euros per kilogram. What is the cost of grapes, in dollars per pound, if the exchange rate is 1.14 dollars/euro?
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Ch.2 Chemistry and Measurements
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353
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Table of contents
- Ch.1 Chemistry in Our Lives11
- Ch.2 Chemistry and Measurements80
- Ch.3 Matter and Energy54
- Ch.4 Atoms and Elements51
- Ch.5 Nuclear Chemistry42
- Ch.6 Ionic and Molecular Compounds57
- Ch.7 Chemical Quantities and Reactions41
- Ch.8 Gases29
- Ch.9 Solutions51
- Ch.10 Acids and Bases and Equilibrium65
- Ch.11 Introduction to Organic Chemistry: Hydrocarbons78
- Ch.12 Alcohols, Thiols, Ethers, Aldehydes, and Ketones83
- Ch.13 Carbohydrates54
- Ch.14 Carboxylic Acids, Esters, Amines, and Amides90
- Ch.15 Lipids61
- Ch.16 Amino Acids, Proteins, and Enzymes84
- Ch.17 Nucleic Acids and Protein Synthesis83
- Ch.18 Metabolic Pathways and ATP Production67
Timberlake13th EditionChemistry: An Introduction to General, Organic, and Biological ChemistryISBN: 9780134421353Not the one you use?Change textbook
Chapter 2, Problem 91
Consider the following solids. The solids A, B, and C represent aluminum (D = 2.70g/mL), and silver (D = 10.5 g/mL). If each has a mass of 10.0 g, what is the identity of each solid?
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Verified step by step guidance1
Step 1: Recall the formula for density, which is \( D = \frac{m}{V} \), where \( D \) is density, \( m \) is mass, and \( V \) is volume. Rearrange the formula to solve for volume: \( V = \frac{m}{D} \).
Step 2: Identify the given values for each solid. The mass of each solid is \( 10.0 \, \text{g} \), and the densities of aluminum and silver are \( 2.70 \; \text{g/mL} \) and \( 10.5 \; \text{g/mL} \), respectively.
Step 3: Calculate the volume of each solid using the formula \( V = \frac{m}{D} \). For aluminum, substitute \( m = 10.0 \, \text{g} \) and \( D = 2.70 \; \text{g/mL} \). For silver, substitute \( m = 10.0 \, \text{g} \) and \( D = 10.5 \; \text{g/mL} \).
Step 4: Compare the calculated volumes to the visual representation of the solids in the image. The solid with the largest volume corresponds to aluminum (lower density), and the solid with the smallest volume corresponds to silver (higher density).
Step 5: Match the calculated volumes to the sizes of solids A, B, and C in the image to identify their identities. The largest solid is aluminum, and the smallest solid is silver.
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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 milliliter (g/mL) for solids and liquids. It is a crucial property that helps identify materials, as different substances have unique densities. In this question, the densities of aluminum (2.70 g/mL) and silver (10.5 g/mL) are provided, allowing for the identification of the solids based on their mass and volume.
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Density
Mass and Volume Relationship
The relationship between mass and volume is fundamental in determining density. For a given mass, the volume can be calculated using the formula: Volume = Mass / Density. In this scenario, since each solid has a mass of 10.0 g, the volume can be derived from the known densities, enabling the identification of each solid based on their respective volumes.
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Material Identification
Material identification involves using physical properties, such as density, to distinguish between different substances. By calculating the volume of each solid using their mass and known densities, one can match the calculated volumes to the expected volumes for aluminum and silver. This process is essential in determining which solid corresponds to which material in the given problem.
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Related Practice
Textbook Question
The gray cube has a density of 4.5 g/cm3. Is the density of the green cube the same, lower than, or higher than that of the gray cube?
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Textbook Question
The length of this rug is 38.4 in. and the width is 24.2 in.
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d. Calculate the area of the rug, in square centimeters, to the correct number of significant figures. (Area = Length x Width)
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Textbook Question
A shipping box has a length of 7.00 in., a width of 6.00 in., and a height of 4.00 in.
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b. What is the width of the box, in centimeters?
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Textbook Question
A shipping box has a length of 7.00 in., a width of 6.00 in., and a height of 4.00 in.
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a. What is the length of the box, in centimeters?
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Textbook Question
In Mexico, avocados are 48 pesos per kilogram. What is the cost, in cents, of an avocado that weighs 0.45 lb if the exchange rate is 18 pesos to the dollar?
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