1. Avogadro's Number
Avogadro's number tells us the number of particles (atoms, molecules, etc.) in one mole of a substance. It's approximately:
* 6.022 x 10²³ particles/mole
2. Nitrogen Molecules
Nitrogen exists as a diatomic molecule (N₂), meaning each molecule contains two nitrogen atoms.
3. Calculation
* Step 1: Multiply the moles of nitrogen by Avogadro's number to find the number of nitrogen molecules:
3.4 moles N₂ * (6.022 x 10²³ molecules/mole) = 2.05 x 10²⁴ molecules N₂
* Step 2: Since each nitrogen molecule has two nitrogen atoms, multiply the number of molecules by 2:
2.05 x 10²⁴ molecules N₂ * (2 atoms/molecule) = 4.10 x 10²⁴ atoms N
Therefore, there are approximately 4.10 x 10²⁴ nitrogen atoms in 3.4 moles of nitrogen.