A cube of copper metal has a density of 8.96 g/cm3. The cube has a mass of 29.54 g. The atomic radius of a copper atom is 1.28 angstroms. How many atoms is the cube of copper metal?

The answer to your question is: 3.745 x 10 ²³ atoms

Explanation:

Data

density = 8.96 g/cm³

mass = 29.54 g

atomic radius = 1.28 A° 1.28 x 10⁻¹⁰ m

Volume of a cube

density = mass / volume

volume = mass / density

volume = 29.54 / 8.96

volume = 3.29 cm³

Volume of a copper atom

volume = (4/3) πr³

volume = (4/3) π (1.28 x 10 ⁻⁸) ³

= 8.784 x 10 ⁻²⁴ cm³

Number of atoms = 3.29 cm³ / 8.784 x 10 ⁻²⁴ cm³

= 3.745 x 10 ²³ atoms