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Chapter 12: Problem 42

What is a solid solution? Give some examples.

Short Answer

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A solid solution is a homogenous, single-phase mixture of two or more elements within a crystalline structure, where each component retains its individual chemical properties. There are two main types of solid solutions: substitutional and interstitial. In substitutional solid solutions, solute atoms replace the solvent atoms in their lattice positions, like in Cu-Ni and Fe-Cr alloys. In interstitial solid solutions, solute atoms occupy spaces between solvent atoms, as in carbon atoms in iron and hydrogen in palladium. Examples of solid solutions include brass (a Cu-Zn substitutional mixture), steel (an Fe-C interstitial mixture), dental amalgam (a mercury-metal alloy), and yttrium-stabilized zirconia (ZrO2 combined with Y2O3).

Step by step solution

01

Define Solid Solution

A solid solution is a homogenous, single-phase mixture of two or more elements within a crystalline structure, where each component retains its individual chemical properties. In this mixture, the solute atoms substitute or occupy interstitial positions within the solvent's crystal lattice. Solid solutions find widespread applications in materials science, metallurgy, and chemistry.
02

Types of Solid Solutions

There are two main types of solid solutions: substitutional and interstitial. 1. Substitutional Solid Solution: In a substitutional solid solution, the solute atoms replace or "substitute" the solvent atoms in their lattice positions. This type of solution occurs when both elements have similar atomic radii (size) and crystal structures. Examples include Cu-Ni and Fe-Cr alloys. 2. Interstitial Solid Solution: In an interstitial solid solution, the solute atoms occupy the spaces or "interstitial" positions between the solvent atoms. This type of solution occurs when the solute atoms are much smaller than the solvent atoms. Examples include carbon atoms in iron and hydrogen in palladium.
03

Examples of Solid Solutions

Here are some common examples of solid solutions: 1. Brass: Brass is a substitutional solid solution of copper (Cu) and zinc (Zn). In this alloy, zinc atoms replace some copper atoms in the copper's crystal lattice. Brass possesses properties such as high strength, corrosion resistance, and excellent machinability, which find applications in musical instruments, plumbing fixtures, and other decorative elements. 2. Steel: Steel is an interstitial solid solution primarily composed of iron (Fe) and carbon (C), with other elements like manganese, silicon, and nickel sometimes added for additional properties. Carbon atoms, being much smaller than iron atoms, occupy the interstitial spaces in the iron lattice. Steel exhibits superior strength, hardness, and durability compared to pure iron, making it the ideal material for construction, transportation, and many industrial applications. 3. Amalgam: Dental amalgam is a solid solution that consists mainly of mercury and a metal alloy, usually composed of silver, tin, and copper. In this solution, mercury dissolves into the metal alloy, forming a homogenous mixture with excellent mechanical properties suitable for dental applications. 4. Ceramic materials: Ceramic materials like yttrium-stabilized zirconia (YSZ) combine zirconium oxide (ZrO2) with yttrium oxide (Y2O3) to form a solid solution. This material exhibits high strength, toughness, and thermal stability, making it suitable for various applications, including fuel cells, thermal barrier coatings, and cutting tools.

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Key Concepts

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

Substitutional Solid Solution
A substitutional solid solution occurs when atoms of a solute replace atoms of a solvent in their lattice positions within a crystal. Generally, for this substitution to happen, the solute and solvent must have similar atomic radii and compatible crystal structures. Think of it as swapping similar-sized puzzle pieces in a completed puzzle. Some classic examples are the copper-nickel (Cu-Ni) and iron-chromium (Fe-Cr) alloys. The replacement results in a new solid that inherits a blend of properties from both components, such as increased strength or enhanced corrosion resistance. This blending is key in materials science for tailoring materials to specific requirements. Many everyday materials, like certain types of brass, are prime examples of substitutional solid solutions.
Interstitial Solid Solution
In an interstitial solid solution, smaller solute atoms fit into the spaces, or interstices, between the larger solvent atoms in a crystal lattice. This arrangement typically occurs when the solute atoms are significantly smaller, allowing them to "sneak" into these gaps. A well-known example is carbon atoms occupying interstitial positions in iron to form steel. This configuration enhances the strength and hardness of the alloy, as the introduced atoms obstruct the movement of dislocations in the crystal lattice, effectively "locking" the structure. Other examples include hydrogen within palladium or nitrogen in titanium alloys. Interstitial solid solutions are crucial in creating strong and durable materials, vital for construction and other heavy-duty applications.
Crystal Lattice
A crystal lattice is a well-organized, repeating arrangement of atoms that extends throughout a solid. This structured grid forms the backbone for understanding how solid solutions are possible. In metals and many other solids, this lattice consists of atoms of one or more elements that are regularly spaced. Depending on the arrangement and size of the atoms, different types of crystal structures can be formed, such as cubic or hexagonal shapes. The understanding of crystal lattices is essential in materials science, as it helps explain why certain materials have particular properties. For instance, the addition of solute atoms, whether substitutional or interstitial, alters the lattice and can change the material's properties like conductivity, strength, or ductility.
Materials Science
Materials science explores the relationships between the structure of materials at atomic or molecular levels and their macroscopic properties. It employs principles from physics, chemistry, and engineering to develop new materials or improve existing ones. Understanding solid solutions, including substitutional and interstitial types, is a fundamental part of materials science. These concepts allow scientists and engineers to design materials with predetermined characteristics, such as enhanced strength, corrosion resistance, or electrical conductivity. For instance, by manipulating crystal lattices through solid solutions, innovations in steel production or advanced ceramics are possible. Materials science not only furthers technological advancements but also enhances the quality of life by creating more efficient and sustainable materials.

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Most popular questions from this chapter

Combustion analysis reveals vitamin \(\mathrm{C}\) to be \(40.9 \%\) by mass \(\mathrm{C}\) and \(4.58 \%\) by mass \(\mathrm{H}\). The only other element present is oxygen. A solution of \(19.40 \mathrm{~g}\) of vitamin \(\mathrm{C}\) in \(100.0 \mathrm{~g}\) of water freezes at \(22.05^{\circ} \mathrm{C}\). What is the molecular formula of vitamin \(C\) ?

Soap molecules not only form spherical micelles in water, they also form spherical vesicles, which you can picture as thick-walled hollow spheres. Here is a cross section of such a vesicle, with the blue regions representing water: Unlike a micelle, a vesicle traps water in its interior. What gives a vesicle this ability? (If you are having trouble with the difference between micelles and vesicles, think of a baseball and a hollow rubber ball. The baseball, with no empty space inside, is analogous to the micelle, and the hollow ball is analogous to the vesicle.)

Identify the solvent and the solute in each solution: (a) Brass, which is 60 to \(80 \% \mathrm{Cu}\), and 18 to \(40 \% Z n\) (b) Household ammonia cleaner, which is \(1 \%\) by mass ammonia gas in water (c) \(2.59 \mathrm{~g}\) of sucrose in \(1.00 \mathrm{~g}\) of water at \(50^{\circ} \mathrm{C}\)

Explain how soaps allow water to wash oily, nonpolar dirt off clothes and skin.

The dissolving of a solute (like \(\mathrm{NaCl}\) ) into a solvent (like water) can be thought of as a threestep process. (a) Briefly name or describe these three steps. (b) What are the energy implications of each step? (exothermic, endothermic, depends on the particular solvent/solute) (c) Which of the three steps is primarily responsible for the "like dissolves like" rule for solubility?
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