Review the key concepts, formulae, and examples before starting your quiz.
🔑Concepts
Alloys are mixtures of a metal with one or more other elements (usually other metals or carbon). For example, Steel is an alloy of Iron () and Carbon ().
In a pure metal, atoms are of the same size and arranged in regular layers. These layers can slide over each other easily, making pure metals relatively soft and malleable.
In an alloy, the introduction of different-sized atoms (e.g., atoms in ) disrupts the regular lattice arrangement. This prevents the layers from sliding over each other easily, making alloys harder and stronger than pure metals.
Aluminum () is widely used in the manufacture of aircraft because of its low density and its ability to resist corrosion due to a thin, tough layer of aluminum oxide () on its surface.
Copper () is used for electrical wiring because it has very high electrical conductivity and is ductile (can be drawn into wires). It is also used in cooking utensils due to its high thermal conductivity.
Stainless steel is an alloy of iron () containing chromium () and nickel (). It is used for cutlery and chemical plants because the chromium forms a passive oxide layer that prevents rusting.
Zinc () is used for galvanizing iron (). This provides sacrificial protection because is more reactive than and will oxidize preferentially according to the half-equation: .
📐Formulae
(Formation of protective oxide layer)
(Oxidation of Iron during rusting)
(Sacrificial protection by Zinc)
💡Examples
Problem 1:
Explain why brass, an alloy of copper () and zinc (), is harder than pure copper ().
Solution:
Pure consists of atoms of identical size arranged in a regular lattice. When a force is applied, these layers slide over each other easily. In brass, the atoms have a different atomic radius than atoms. These larger/smaller atoms disrupt the regular layers, making it more difficult for the layers to slide, resulting in a harder material.
Explanation:
The hardness of an alloy is a direct result of the structural disruption caused by atoms of different sizes in the metallic lattice.
Problem 2:
Calculate the mass of an aluminum () component used in an engine if its volume is and the density of the aluminum alloy is .
Solution:
Explanation:
Using the density formula , we rearrange for mass to find the physical weight of the alloy part.