The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell that is face-centered cubic.

Question

Verdich [7]

3 years ago

13

The atomic radius of metal X is 1.20 × 102 picometers (pm) and a crystal of metal X has a unit cell that is face-centered cubic.

Calculate the density of metal X (atomic weight = 42.3 g/mol).

Physics

1 answer:

dmitriy555 [2] · Answer 1 · 2021-12-16T11:45:48+03:00

dmitriy555 [2]3 years ago

4 0

The density of the metal can be determined through the formula [n*MW]/ Na*[a^3] . substituting, we get,

<span>d = [n*MW]/ Na*[a^3]
</span><span>d = [4 atoms*42.3 g/mol]/ [6.022 x 1023atoms/mol* (sqrt 8 *1.20x10-10)^3]
</span>d = 0.719 g/cm3