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Ch.12 - Solids and Modern Materials
Chapter 12, Problem 49b

State whether each sentence is true or false: (b) Metals have high electrical conductivities because they are denser than other solids.

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Identify the property in question: electrical conductivity in metals.
Understand the relationship between density and electrical conductivity. Density refers to the mass per unit volume of a substance, while electrical conductivity is the ability of a material to conduct electric current.
Recognize that the electrical conductivity in metals is primarily due to the presence of free electrons that can move easily throughout the metal lattice.
Consider whether the density of a metal directly influences its ability to conduct electricity. Note that while metals are generally dense, their electrical conductivity is more closely related to the electron configuration and bonding, rather than their density.
Conclude that the statement is false because the high electrical conductivity of metals is not due to their density, but rather due to the presence of delocalized electrons that facilitate the flow of electric current.

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Key Concepts

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

Electrical Conductivity

Electrical conductivity refers to the ability of a material to conduct electric current. In metals, this property arises from the presence of free-moving electrons that can carry charge through the lattice structure. While density can influence conductivity, it is not the primary reason metals are good conductors.
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Metallic Bonding

Metallic bonding is the type of chemical bonding that occurs in metals, characterized by a 'sea of electrons' that are delocalized and free to move. This electron mobility is what allows metals to conduct electricity efficiently. The strength of metallic bonds contributes to both the density and conductivity of metals, but density alone does not determine conductivity.
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Density and Conductivity Relationship

While density can play a role in the properties of materials, it does not directly correlate with electrical conductivity. Many dense materials are not good conductors, and some less dense materials can be excellent conductors. Therefore, the statement that metals have high electrical conductivities solely because they are denser than other solids is misleading.
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Related Practice
Textbook Question
Which element or elements are alloyed with gold to make the following types of 'colored gold' used in the jewelry industry? For each type, also indicate what type of alloy is formed: (c) green gold.
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Textbook Question

An increase in temperature causes most metals to undergo thermal expansion, which means the volume of the metal increases upon heating. How does thermal expansion affect the unit cell length? What is the effect of an increase in temperature on the density of a metal?

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Textbook Question

State whether each sentence is true or false: (a) Metals have high electrical conductivities because the electrons in the metal are delocalized. (c) Metals have large thermal conductivities because they expand when heated. (d) Metals have small thermal conductivities because the delocalized electrons cannot easily transfer the kinetic energy imparted to the metal from heat.

Textbook Question

The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.22. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: (a) How many molecular orbitals are there in the diagram?

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Textbook Question

The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.22. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: (c) How many nodes are in the highest-energy molecular orbital?

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Textbook Question

The molecular-orbital diagrams for two- and four-atom linear chains of lithium atoms are shown in Figure 12.22. Construct a molecular-orbital diagram for a chain containing six lithium atoms and use it to answer the following questions: (e) How many nodes are in the lowest-energy unoccupied molecular orbital (LUMO)?

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