Understanding the Concept

* Avogadro's Number: One mole of any substance contains 6.022 x 10²³ representative particles. This number is known as Avogadro's number. Representative particles can be atoms, molecules, ions, or formula units, depending on the substance.

* Conversion Factor: Avogadro's number provides a conversion factor between moles and representative particles:

* 1 mole = 6.022 x 10²³ representative particles

Calculation

1. Set up the conversion:

(2.17 x 10²⁴ representative particles Br) x (1 mole Br / 6.022 x 10²³ representative particles Br)

2. Cancel out the units:

The "representative particles Br" units cancel, leaving us with just "moles Br".

3. Calculate the result:

(2.17 x 10²⁴) / (6.022 x 10²³) ≈ 3.60 moles Br

Answer

There are approximately 3.60 moles of bromine in 2.17 x 10²⁴ representative particles of bromine.