How can you determine the atoic mass of an unknown metal if you know its density and the dimension of its unit cell ? Explain.

Explanation

To determine the atomic mass of an unknown metal given its density and the dimensions of its unit cell, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Relationship Between Density, Atomic Mass, and Unit Cell Dimensions**:
The density (D) of a crystalline solid can be expressed in terms of the atomic mass (M), the number of atoms per unit cell (Z), and the volume of the unit cell (a³):
\[
D = \frac{Z \cdot M}{a^3 \cdot N_A}
...