At `100^(@)`, copper (Cu) has FCC unit cell structure with cell edge length of x A. What is the approximate density of Cu (in g `cm^(-3)` at this temperature?
[Atomic Mass of Cu = 63.55 u]

Options

A. `(105)/(x^(3))`
B. `(422)/(x^(3))`
C. `(205)/(x^(3))`
D. `(211)/(x^(3))`

Explanation

To find the approximate density of copper (Cu) at 100°C, given that it has a face-centered cubic (FCC) unit cell structure with an edge length of \( x \) Å, we will follow these steps:

### Step 1: Determine the number of atoms per unit cell (Z)
In an FCC unit cell:
- There are 8 corner atoms, each contributing \( \frac{1}{8} \) of an atom to the unit cell.
- There are 6 face-centered atoms, each contributing \( \frac{1}{2} \) of an atom to the unit cell.

Calculating the total number of atoms (Z):
...