1. Understand the Chemical Formula:

* The chemical formula CuCl₂ tells us that one molecule of copper(II) chloride (CuCl₂) contains one copper (Cu) atom and two chlorine (Cl) atoms.

2. Use Avogadro's Number:

* Avogadro's number states that there are 6.022 x 10²³ particles (atoms, molecules, etc.) in one mole of a substance.

3. Set up the Calculation:

* We'll use the following conversion factors:

* 1 mole CuCl₂ = 1 mole Cu

* 1 mole Cu = 6.022 x 10²³ Cu atoms

4. Calculate the Number of Cu Atoms:

* (5.33 moles CuCl₂) * (1 mole Cu / 1 mole CuCl₂) * (6.022 x 10²³ Cu atoms / 1 mole Cu) = 3.21 x 10²⁴ Cu atoms

Therefore, there are approximately 3.21 x 10²⁴ Cu atoms in 5.33 moles of CuCl₂.