Question

An imaginary metal crystallises in a cubic lattice. The unit cell edge length is 100 pm, (1 pm = $10^{-12}$ m). The density of this metal is 200 g/cm\(^3\). The atomic mass of the metal is 60.2 g/mol. How many of these metal atoms are there within a unit cell?

• A. 1
• B. 2
• C. 4
• D. 6

Hint:

Use the density formula along with the volume of the unit cell and the molar mass to determine the number of atoms in a unit cell.

Answer 1

The Correct Option is B

Using the relationship between density, molar mass, and unit cell volume, the number of atoms per unit cell is calculated to be 2.