# Sodium crystallizes in a BCC unit cell. Calculate the approximate number of unit cells in 8.6 g of the sodium (atomic mass of Na = 23)

**Sodium crystallizes in a BCC unit cell. Calculate the approximate number of unit cells in 8.6 g of the sodium (atomic mass of Na = 23)**

**Answer:**

**Given Values**

Type of unit cell = BCC

So, 1 U.C. is made up of = 2 atoms

Atomic Mass of sodium = 23 gm/mol

Weight of sodium = 8.6 gm

**Calculations**

**Number of atoms in 8.6 gm of Sodium**

23 gm of Sodium = 6.02 × 10^{23} atoms of Sodium

8.6 gm of Sodium = \( \frac{6.02 \times 10^{23} \times 8.6}{23} \) atoms

**Number of U.C. in 8.6 gm of Sodium**

2 atoms of Sodium = 1 Unit Cell

\( \frac{6.02 \times 10^{23} \times 8.6}{23} \) atoms = \( \frac{6.02 \times 10^{23} \times 8.6}{23 \times 2} \) U.C.

**Therefore, there are \( 1.125 \times 10^{23} \) unit cells in 8.6 gm of Sodium.**

### You should check out our other content to boost your self-study.

- You can read and download our notes

- You can practice multiple choice questions.

- You can practice short and long answer questions

- You can watch our pre-recorded video lectures.

- You can participate in multiple choice questions quiz.