Understanding the Concepts
* Mole (mol): A unit of measurement that represents a specific number of particles (atoms, molecules, ions, etc.). One mole contains 6.022 x 10²³ particles. This is known as Avogadro's number.
* Manganese (Mn): An element, so it exists as individual atoms.
Calculation
1. Use Avogadro's Number: To convert moles to particles, multiply the number of moles by Avogadro's number.
Number of particles = (moles of manganese) x (Avogadro's number)
2. Plug in the values:
Number of particles = (7.5 moles) x (6.022 x 10²³ particles/mole)
3. Calculate:
Number of particles = 4.5165 x 10²⁴ particles
Answer: There are approximately 4.5165 x 10²⁴ manganese atoms in 7.5 moles of manganese.
