Understanding the Basics
* Mole: A mole is a unit of measurement that represents a specific number of particles. One mole contains 6.022 x 10^23 particles (this is Avogadro's number).
* Phosphorus Vapor: Phosphorus exists in different forms. White phosphorus (P4) is the most common form at room temperature. In the vapor state, phosphorus exists as P4 molecules.
Calculation
1. Molar Mass of P4: The molar mass of P4 is 4 times the atomic mass of phosphorus, which is approximately 31 g/mol. So, the molar mass of P4 is 4 * 31 g/mol = 124 g/mol.
2. Atoms per Molecule: Each molecule of P4 contains 4 phosphorus atoms.
3. Atoms per Mole: Since one mole of P4 contains 6.022 x 10^23 molecules, and each molecule has 4 atoms, then one mole of P4 contains 4 * 6.022 x 10^23 = 2.409 x 10^24 phosphorus atoms.
Therefore, there are approximately 2.409 x 10^24 phosphorus atoms in one mole of phosphorus vapor.
