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Arrange the following materials in order of increasing electrical conductivity: (a) Pure gray Sn (b) Gray Sn doped with Sb (c) \(\mathrm{NaCl}\) (d) \(\mathrm{Ag}\) (e) Pure Si

Short Answer

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The order is: (c) NaCl, (e) Pure Si, (b) Gray Sn doped with Sb, (a) Pure gray Sn, (d) Ag.

Step by step solution

01

Understand Electrical Conductivity

Electrical conductivity is the ability of a material to conduct an electric current. Metals typically have high conductivity, semiconductors have moderate conductivity, and insulators have low conductivity.
02

Categorize Each Material

Identify the category of each material: - Pure gray Sn (tin) is a metal. - Gray Sn doped with Sb (antimony) is a semimetal or semiconductor, as doping alters its properties. - NaCl (sodium chloride) is an ionic compound and typically acts as an insulator when solid. - Ag (silver) is a highly conductive metal. - Pure Si (silicon) is a semiconductor.
03

Rank Materials by Conductivity

Establish a general order based on the categories: 1. NaCl is an insulator with the lowest conductivity. 2. Pure Si, as a typical semiconductor, has low to moderate conductivity. 3. Gray Sn doped with Sb, with increased conductivity due to doping. 4. Pure gray Sn, a metal with higher conductivity than semiconductors. 5. Ag, a metal with very high conductivity.
04

Order the Materials

Arrange the materials in increasing order of conductivity based on the analysis: 1. (c) NaCl 2. (e) Pure Si 3. (b) Gray Sn doped with Sb 4. (a) Pure gray Sn 5. (d) Ag

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Key Concepts

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

Materials Science
Materials science is the study of the properties and applications of materials of construction or manufacture (such as ceramics, metals, polymers, and composites). This field combines elements from physics, chemistry, and engineering to understand and modify materials to achieve specific properties.

One of the key topics in materials science is electrical conductivity, which measures a material's ability to allow the flow of electric current. Electrical conductivity is vital because it influences how materials are used in electronic devices, infrastructure, and more. The specific structure and bonding of a material's atoms directly affect its conductivity.

### Factors Affecting Conductivity Several factors influence a material's conductivity, including:
  • Chemical Composition: Pure metals generally have high conductivity, while composite and doped materials can vary.
  • Temperature: Generally, as temperature increases, the conductivity of metals decreases, while it increases for semiconductors.
  • Structural Defects: Imperfections in a material's structure, such as the presence of dopants, can affect electron flow.
Understanding these factors is crucial for selecting materials for specific applications in electronics and energy sectors.
Semiconductors
Semiconductors are materials whose electrical conductivity is between that of a conductor, like metals, and an insulator, like certain ceramics. Silicon (Si) and gray tin, when doped, serve as common examples of semiconductors.

These materials are essential in the field of electronics for their unique capability to control electron flow with great precision. They become more conductive with an increase in temperature, unlike metals.

### Doping in Semiconductors Doping involves adding small amounts of impurities to a semiconductor. This process is crucial as it modifies the material's electrical properties by increasing its charge carriers:
  • n-type doping adds electrons, increasing negative charge carriers.
  • p-type doping reduces electrons, creating positive "holes" as charge carriers.
Doped semiconductors form the backbone of modern electronic devices like transistors and diodes.
Metals and Insulators
Metals and insulators are on the two extremes of the electrical conductivity spectrum. Metals, such as silver (Ag) and gray tin (Sn), have high conductivity because they possess free electrons that move easily through a crystalline lattice.

Metals are often used in applications where good electrical conductivity is needed. This includes wiring, contacts, and other electronic connections.

### Characteristics of Metals
  • High Density of Free Electrons: This allows for efficient current flow.
  • Good Thermal Conductivity: Metals effectively transfer heat, which is often connected with their electrical properties.
  • Malleability: They can be shaped and stretched without breaking, making them versatile for various uses.
On the other hand, insulators like NaCl (sodium chloride) resist the flow of electricity. They are used to protect or insulate materials that conduct electricity. Insulators have few free electrons and usually possess a stable, complex structure that doesn't allow for easy movement of charges.

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