
Concept explainers
(a)
Estimate the density of a
(a)

Answer to Problem 56SEP
The density of copper and nickel alloy is
Explanation of Solution
Express the density of alloy.
Here, density of copper and nickel is
Conclusion:
Write the density of copper and nickel and also write the number of atom per mole or Avogadro number.
Write the molar or atomic mass of copper and nickel.
Substitute
Hence, the density of copper and nickel alloy is
(b)
The most probable crystal structure for this copper and nickel alloy.
(b)

Answer to Problem 56SEP
The most probable crystal structure for this copper and nickel alloy is FCC.
Explanation of Solution
Write the information data for copper and nickel as in Table (1).
Element | Crystal structure |
Copper | FCC |
Nickel | FCC |
As both of the copper and nickel have similar FCC crystal structure, then the formed alloy will also have the FCC structure.
Hence, the most probable crystal structure for this copper and nickel alloy is FCC.
(c)
The mass in grams of the atoms inside a unit cell of the copper nickel alloy.
(c)

Answer to Problem 56SEP
The mass in grams of the atoms inside a unit cell of the copper nickel alloy is
Explanation of Solution
Consider the mass of alloy as
Express the total atoms of copper.
Here, atomic mass of copper is
Express the total atoms of nickel.
Here, atomic mass of nickel is
Express the mass in grams of the atoms inside a unit cell of the copper nickel alloy.
Conclusion:
Consider the mass of the alloy be
Substitute
Substitute
Thus from Equations (V) and (VI), it is observed that there are
Substitute
Hence, the mass in grams of the atoms inside a unit cell of the copper nickel alloy is
(d)
The lattice constant for the copper nickel alloy.
(d)

Answer to Problem 56SEP
The lattice constant for the copper nickel alloy is
Explanation of Solution
Express the lattice constant for the copper nickel alloy.
Conclusion:
Substitute
Hence, the lattice constant for the copper nickel alloy is
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Chapter 4 Solutions
Foundations of Materials Science and Engineering
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