When copper crystallizes, it forms face-centered cubic cells. the unit cell edge length is 361.5 pm. calculate the density of copper in g/cm3?

Density of copper can be calculated using the following formula:

Here, m is mass and V is volume, thus, to calculate density first calculate mass and volume of copper.

In FCC, number of atoms in a unit cell are 4, atomic mass of Cu is 63.546 g/mol and number of atoms in 1 mole is .

Mass of Cu will be:

Now, volume can be calculate as:

Here, a is edge length.

First convert edge length from pm to cm

Thus,

Putting the value,

Now, from mass and volume density can be calculated as follows:

Therefore, density of copper will be .

explanation:

0.07 g/cm³

1.37 g/cm³