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Chapter 23: Problem 25

Explain how the electron-sea model accounts for the high electrical and thermal conductivity of metals.

Short Answer

Expert verified
The electron-sea model accounts for the high electrical and thermal conductivity of metals by proposing a lattice structure formed by metal atoms with free, delocalized electrons shared among all the atoms. These free electrons move easily within the lattice and are responsible for high conductivity when an electric field or heat is applied. In terms of electrical conductivity, the free electrons move in response to an electric field, carrying charge and generating an electric current. For thermal conductivity, the free electrons collide with vibrating lattice atoms when heat is applied, transferring energy from hotter to cooler regions.

Step by step solution

01

Introduction to the electron-sea model

The electron-sea model, also known as the free-electron model or Drude model, is a simplified representation of metallic bonding, which helps to explain the unique properties of metals, such as their high electrical and thermal conductivity. According to this model, metal atoms form a lattice structure, in which the valence electrons are free to move and are shared among all the atoms. These free electrons are often referred to as "sea of electrons" or "electron gas," which surrounds the metal ions.
02

Ease of electron movement

The electron-sea model proposes that the delocalized electrons are responsible for the high electrical conductivity of metals. Since the valence electrons are not tightly bound to individual atoms, they can easily move throughout the lattice structure. This makes metals excellent conductors of electricity. When an electric field is applied to a metal, the free electrons will move in response to this field, carrying charge and generating an electric current.
03

Collision and energy transfer

Metals are also known for their high thermal conductivity. The electron-sea model explains this property through the role of free electrons in energy transfer. When heat is applied to a metal, the lattice structure begins to vibrate, and the free electrons collide with the vibrating lattice atoms. These collisions result in an energy transfer from the hotter parts of the metal to the cooler regions, resulting in heat conduction. Consequently, the ability of metals to transfer heat is linked to their high concentration of free electrons and their ease of movement.
04

Conclusion

In conclusion, the electron-sea model helps to account for the high electrical and thermal conductivity of metals by proposing a lattice structure formed by metal atoms, with free, delocalized electrons shared among all the atoms. These free electrons can easily move within the lattice, leading to high conductivity when an electric field or heat is applied.

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Most popular questions from this chapter

Assess the feasibility of reducing \(\mathrm{TiO}_{2}\) to titanium metal by roasting in carbon monoxide. (a) Write a reaction for this process. (b) Use the thermodynamic quantities given in Appendix \(C\) to calculate \(\Delta G^{\circ}, \Delta H^{\circ}\), and \(\Delta S^{\circ}\) for this reaction. Is this reaction spontaneous at \(25^{\circ} \mathrm{C}\) under standard conditions? (c) If we assume that \(\Delta H^{\circ}\) and \(S^{\circ}\) values do not change with temperature, at what temperature would this process become spontaneous? Do you think this process would be practical?

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