Textbook Question
A new penny has a mass of 2.49 g and a volume of 0.349 cm3. Is the penny made of pure copper? Explain your answer.
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Ch.1 - Matter, Measurement & Problem Solving
Tro6th EditionChemistry: A Molecular ApproachISBN: 9780137832217
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Table of contents
- Ch.1 - Matter, Measurement & Problem Solving90
- Ch.2 - Atoms & Elements94
- Ch.3 - Molecules and Compounds103
- Ch.4 - Chemical Reactions and Chemical Quantities46
- Ch.5 - Introduction to Solutions and Aqueous Solutions65
- Ch.6 - Gases100
- Ch.7 - Thermochemistry85
- Ch.8 - The Quantum-Mechanical Model of the Atom51
- Ch.9 - Periodic Properties of the Elements79
- Ch.10 - Chemical Bonding I: The Lewis Model70
- Ch.11 - Chemical Bonding II: Molecular Shapes, VSEPR & MO Theory68
- Ch.12 - Liquids, Solids & Intermolecular Forces44
- Ch.13 - Solids & Modern Materials42
- Ch.14 - Solutions77
- Ch.15 - Chemical Kinetics88
- Ch.16 - Chemical Equilibrium57
- Ch.17 - Acids and Bases121
- Ch.18 - Aqueous Ionic Equilibrium126
- Ch.19 - Free Energy & Thermodynamics80
- Ch.20 - Electrochemistry87
- Ch.21 - Radioactivity & Nuclear Chemistry61
- Ch.22 - Organic Chemistry114
Chapter 1, Problem 70
A supposedly gold nugget displaces 19.3 mL of water and has a mass of 371 g. Could the nugget be made of gold?
Verified step by step guidance1
Determine the density of the nugget using the formula: \( \text{Density} = \frac{\text{Mass}}{\text{Volume}} \).
Substitute the given mass (371 g) and volume (19.3 mL) into the density formula.
Calculate the density of the nugget.
Compare the calculated density with the known density of gold, which is approximately 19.32 g/mL.
Conclude whether the nugget could be made of gold based on the comparison of densities.
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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 and is a key property of materials. It is calculated using the formula density = mass/volume. For gold, the density is approximately 19.32 g/mL. By comparing the calculated density of the nugget with that of gold, we can determine if the nugget could be made of gold.
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Density Concepts
Displacement Method
The displacement method is a technique used to measure the volume of an irregularly shaped object by submerging it in water. The volume of water displaced by the object is equal to the volume of the object itself. In this case, the nugget displaces 19.3 mL of water, which provides the necessary volume measurement to calculate its density.
Mass and Volume Relationship
The relationship between mass and volume is fundamental in determining the identity of a substance. By knowing both the mass (371 g) and the volume (19.3 mL) of the nugget, we can calculate its density. If the calculated density matches that of gold, we can conclude that the nugget could indeed be made of gold.
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01:09Relationship of Volume and Moles Example
Related Practice
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