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Chapter 24: Problem 4

Good conductors of electricity are often good conductors of heat. Why might this be?

Short Answer

Expert verified
Good conductors of electricity are often good conductors of heat due to the behavior of free electrons in the materials. These free electrons not only facilitate the transfer of electric charge but also facilitate the transfer of heat due to their increased movements and vibrations when heat is applied. Therefore, materials with high free electron densities, such as metals, are usually good conductors of both electricity and heat.

Step by step solution

01

Identify the essence of electrical and thermal conduction

Electricity conduction occurs when charged particles, particularly electrons, move through a material. Thermal conduction, on the other hand, happens when heat energy propagates through a material due to the physical movement or vibrations of particles. Hence, both processes revolve around the movement of particles or energy conservation principles.
02

Establish a connection between electrical and thermal conduction

Materials with higher free electron densities usually have better conduction properties since these free electrons facilitate the transfer of energy. When an electric current is applied to such a material, these free electrons drift and carry the electric charge, facilitating electrical conduction. On the other hand, when heat is applied, the free electrons gain kinetic energy, and their increased vibrations and movement result in thermal conduction.
03

Conclude

Since both electrical and thermal conduction in good conducting materials depend on the behavior of free electrons in the material, there is a direct correlation between the two. Therefore, materials that are good electric conductors, having a high density of free electrons, are often also good thermal conductors.

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

Free Electron Density
Free electron density describes how many free electrons are present in a material. These electrons are not bound to any particular atom and can move freely within the material. This property is crucial because it directly impacts how well a material can conduct electricity and heat.
When a material has a high free electron density:
  • Electrical conduction is enhanced. Free electrons can move more easily, allowing electric charge to flow through the material.
  • Thermal conduction improves as well. The free electrons help transfer kinetic energy throughout the material, facilitating heat flow.
Therefore, materials with a high free electron density, like metals, tend to be excellent conductors of both electricity and heat. This shared mechanism underlies the close relationship between electrical and thermal conductivity in materials.
Energy Transfer
Energy transfer is a critical process for both thermal and electrical conduction. It involves the movement of energy from one part of a material to another, allowing it to perform work or create heat.

In the context of electrical conduction:
  • Energy is transferred by the movement of free electrons carrying an electric charge.
  • The faster these electrons move, the more efficient the conduction.
For thermal conduction:
  • Energy transfer happens through the kinetic motion of particles, including electrons and atoms.
  • The energy travels from high-temperature areas to low-temperature spots, balancing the material's temperature.
Thus, efficient energy transfer processes are vital for materials to function as good conductors of both electricity and heat, emphasizing the importance of free electron density in these processes.
Vibrations of Particles
Vibrations of particles significantly influence thermal conduction. When heat is applied to a material, its particles begin to vibrate more vigorously. These vibrations are responsible for the transfer of thermal energy.
These vibrations include:
  • Atoms in a solid lattice oscillating about their fixed positions.
  • Free electrons moving with increased kinetic energy, aiding in the distribution of thermal energy throughout the material.
This mechanism is why materials with many free electrons, like metals, are also good heat conductors. The vibrations complement the free electron movement, making the process of transferring heat more effective. Understanding this is crucial for grasping how materials manage energy, shedding light on their conductive properties.

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Most popular questions from this chapter

Explain the difference between current and current density.

An immersion-type heating coil is connected to a 120 -V outlet and immersed in a \(250-\mathrm{mL}\) cup of water initially at \(10^{\circ} \mathrm{C}\). The water comes to a boil in 85 s. Assuming no heat loss, and neglecting the heater's mass, find (a) the power and (b) the heater's resistance.

You touch a defective appliance while standing on the ground, and you feel the tingle of a 2.5-mA current. What's your resistance, assuming you're touching the "hot" side of the \(120-\mathrm{V}\) household wiring?

Though rare, electrocution has been reported under wet conditions with voltages as low as \(30 \mathrm{V}\). What resistance would be necessary for this voltage to drive a fatal current of \(100 \mathrm{mA} ?\)

What's wrong with this news report: "A power-line worker was injured when 4000 volts passed through his body"?
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