Question

Part A) A metal crystallizes in a face-centered cubic structure and has a density of 11.9 g cm-3. The radius of the metal atom is 138 pm. Use what you know about crystal structures and show calculations involving unit cells to determine the atomic mass of the element and most probable identity of the metal. Part B) Metallic sodium has a density of 0.971 g/cm3 and crystallizes with a body-centered cubic unit cell. What is the edge length of the unit cell? What is the radius of a sodium atom? Please give the answers in picometers.

Name: part a a metal crystallizes in a face centered cubic structure and has a density of 119 g cm 3 the radius of the metal atom is 138 pm use what you know about crystal structures and show calc 14232
Uploaded: 2022-01-14T14:22:10-08:00
Duration: 3 min 55 s
Channel: Kranti S
Description: part a a metal crystallizes in a face centered cubic structure and has a density of 119 g cm 3 the radius of the metal atom is 138 pm use what you know about crystal structures and show calc 14232

          Part A) A metal crystallizes in a face-centered cubic structure
and has a density of 11.9 g cm-3. The radius of the metal atom is
138 pm. Use what you know about crystal structures and show
calculations involving unit cells to determine the atomic mass of
the element and most probable identity of the metal.
Part B) Metallic sodium has a density of 0.971 g/cm3 and
crystallizes with a body-centered cubic unit cell. What is the edge
length of the unit cell? What is the radius of a sodium atom?
Please give the answers in picometers.

Added by Brittany M.

Chemistry: Structure and Properties

Nivaldo Tro 2nd Edition

Instant Answer

Solved by Expert Kranti S

01/14/2022

Step 1

Given: Density (D) = 11.9 g/cm^3 Radius of metal atom (r) = 138 pm = 138 x 10^-12 cm Avogadro's number (N_A) = 6.022 x 10^23 atoms/mol First, calculate the edge length (a) of the unit cell using the formula a = 2√2r: a = 2√2 * 138 x 10^-12 cm a = 390.32 x 10^-12 Show more…

Show all steps

Thanks for your feedback!

Part A) A metal crystallizes in a face-centered cubic structure and has a density of 11.9 g cm-3. The radius of the metal atom is 138 pm. Use what you know about crystal structures and show calculations involving unit cells to determine the atomic mass of the element and most probable identity of the metal. Part B) Metallic sodium has a density of 0.971 g/cm3 and crystallizes with a body-centered cubic unit cell. What is the edge length of the unit cell? What is the radius of a sodium atom? Please give the answers in picometers.