Moles ↔ Number of Atoms Conversion
The mole (mol) is a unit of measurement for the amount of a substance. It represents Avogadro’s number (approximately 6.022 x 10^23) of particles (atoms). This page provides a quick way to convert between moles and the number of atoms for individual elements.
Formulas
- Moles to Atoms: Number of Atoms = Moles x Avogadro’s Number (6.022 x 10^23 atoms/mol)
- Atoms to Moles: Moles = Number of Atoms / Avogadro’s Number (6.022 x 10^23 atoms/mol)
Calculations & Examples
Example 1: Iron (Fe)
- Moles to Atoms: If you have 2 moles of Fe:
- Number of Atoms = 2 mol x 6.022 x 10^23 atoms/mol = 1.2044 x 10^24 atoms.
- Atoms to Moles: If you have 3.011 x 10^23 atoms of Fe:
- Moles = 3.011 x 10^23 atoms / 6.022 x 10^23 atoms/mol = 0.5 mol.
Example 2: Carbon (C)
- Moles to Atoms: If you have 0.25 moles of C:
- Number of Atoms = 0.25 mol x 6.022 x 10^23 atoms/mol = 1.5055 x 10^23 atoms.
- Atoms to Moles: If you have 1.8066 x 10^24 atoms of C:
- Moles = 1.8066 x 10^24 atoms / 6.022 x 10^23 atoms/mol = 3 mol.
Example 3: Gold (Au)
- Moles to Atoms: If you have 0.005 moles of Au:
- Number of Atoms = 0.005 mol * 6.022 x 10^23 atoms/mol = 3.011 x 10^21 atoms.
- Atoms to Moles: If you have 1.2044 x 10^20 atoms of Au:
- Moles = 1.2044 x 10^20 atoms / 6.022 x 10^23 atoms/mol = 0.0002 mol.
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