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Moles to Particles Converter

Free Moles particles Converter for chemical & molecular units. Enter a value to see equivalent measurements across systems.

Reviewed by Manoj Kumar, Mathematics Educator

Reviewed by Manoj Kumar, Mathematics Educator

Formula

Particles = Moles x 6.02214076e23

Multiply the number of moles by Avogadro number (6.02214076e23) to get the number of particles. For the reverse, divide the number of particles by Avogadro number to get moles. The particle type (atom, molecule, ion) must be specified.

Worked Examples

Example 1: Converting Moles of Water to Molecules

Problem:How many molecules are in 2.5 moles of water?

Solution:Particles = moles x Avogadro number\nParticles = 2.5 x 6.02214076e23\nParticles = 1.505535e24 molecules

Result:2.5 moles = 1.5055e24 water molecules

Example 2: Converting Particles to Moles

Problem:A sample contains 3.01e23 atoms. How many moles is this?

Solution:Moles = particles / Avogadro number\nMoles = 3.01e23 / 6.02214076e23\nMoles = 0.4998 mol

Result:3.01e23 atoms = 0.4998 moles

Frequently Asked Questions

What is Avogadro number and how is it used to convert moles to particles?

Avogadro number is exactly 6.02214076 times 10 to the 23rd, representing the number of constituent particles (atoms, molecules, ions, or other entities) in one mole of a substance. To convert moles to particles, simply multiply the number of moles by Avogadro number. For the reverse conversion, divide the number of particles by Avogadro number. This constant was redefined in 2019 by the International Bureau of Weights and Measures to be an exact value rather than a measured one.

What types of particles can moles represent?

A mole can represent any type of elementary entity: atoms (for elemental substances like iron or gold), molecules (for molecular compounds like water or glucose), ions (for ionic species in solution), formula units (for ionic compounds like NaCl), electrons (in electrochemistry), or photons (in photochemistry). It is essential to specify the type of particle when using moles, because one mole of water molecules contains 3 moles of atoms (2 hydrogen plus 1 oxygen). The IUPAC requires that the entity be specified when using the mole.

References

Reviewed by Manoj Kumar, Mathematics Educator · Editorial policy