Solution Found!
An element crystallizes in a face-centered cubic lattice
Chapter 11, Problem 75P(choose chapter or problem)
Problem 75P
An element crystallizes in a face-centered cubic lattice and has a density of 1.45 g/cm3. The edge of its unit cell is 4.52 × 10−8 cm.
(a) How many atoms are in each unit cell?
(b) What is the volume of a unit cell?
(c) What is the mass of a unit cell?
(d) Calculate an approximate atomic mass for the element.
Questions & Answers
QUESTION:
Problem 75P
An element crystallizes in a face-centered cubic lattice and has a density of 1.45 g/cm3. The edge of its unit cell is 4.52 × 10−8 cm.
(a) How many atoms are in each unit cell?
(b) What is the volume of a unit cell?
(c) What is the mass of a unit cell?
(d) Calculate an approximate atomic mass for the element.
ANSWER:
Solution 75P
Here we have to answer the following question depending on the given data.
Step 1
An element crystallizes in a face-centered cubic lattice and has a density of 1.45 g/cm3. The edge of its unit cell is 4.52 × 10−8 cm.
(a) Here we have to find out how many atoms are in each unit cell.
The given crystal structure is a face centered cubic lattice. Thus a face centered cubic lattice must contain 4 atoms.