An element having bcc geometry has atomic mass 50. Calculate density of unit cell if its edge length is 290 pm.

Explanation

To calculate the density of a body-centered cubic (BCC) unit cell with an atomic mass of 50 g/mol and an edge length of 290 pm, we can follow these steps:

### Step 1: Determine the number of atoms per unit cell (Z)
In a BCC structure, there are:
- 1 atom at the center of the cube
- 8 corner atoms, each contributing \( \frac{1}{8} \) of an atom to the unit cell

So, the total number of atoms (Z) in a BCC unit cell is:
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