Avogadro Number Calculator | Convert Moles to Particles (6.022 x 10^23)

If you are in search of how to convert mass to moles, then you can use this online free Avogadro number calculator by Chemical Tweak. This is part of our wide range of comprehensive collection of Chemical Engineering Calculators designed to make complex calculations easy.

Avogadro Number Calculator

Calculate particles, moles, and molecular quantities

NA = 6.02214076 × 1023 mol−1

Moles → Number of Particles

mol
power

Mass → Moles → Particles

g/mol

Particles → Moles

×10^
power

Calculation Results

Formulas used:
Particles = n × NA  |  n = mass ÷ molar mass  |  n = particles ÷ NA
Where NA = 6.02214076 × 1023 mol−1

How to Use Avogadro’s Number Calculator

  1. Enter the mass of the substance (in grams).
  2. Provide the molar mass (grams per mole).
  3. The calculator will show the number of moles and particles.

What Is Avogadro’s Number?

Avogadro’s number, also referred to as Avogadro’s constant, is the number of particles (such as atoms, molecules, ions, or electrons) present in one mole of a substance. Its value is 6.02214076 × 10²³ mol⁻¹

Formulas

  • Moles = Mass ÷ Molar Mass
  • Particles = Moles × Avogadro’s Number (6.022 × 10²³)

Along with Avogadro’s number, mole calculations often start with mass. You can check it out using our Grams to Moles calculator


Example: Water (H₂O)

Let’s say you have 18 grams of water.
The molar mass of water is approximately 18.015 g/mol.

Step 1: Calculate Moles
Moles=Mass / Molar Mass
=18/18.015 ≈ 0.999 mol

Step 2: Calculate Number of Particles

Particles = Moles×Avogadro’s Number

=0.999×6.022×10^23 ≈ 6.02×10^23 molecules

= 0.999 * 6.02210^23 = 6.02* 10^23 molecules

How do you convert molecules to moles?

To convert molecules to moles, use: n=Number of particlesNAn = \frac{\text{Number of particles}}{N_A}n = number of moles Nₐ = Avogadro’s number = 6.022×10236.022 \times 10^{23}6.022×1023

Divide the number of molecules by Avogadro’s number.

Example: In a green hydrogen plant, a gas analyser detects
1.2044×10241.2044 \times 10^{24}1.2044×1024 molecules of hydrogen (H2​) produced during a batch cycle. Calculate the number of moles of hydrogen produced.

    \[n = \frac{1.2044 \times 10^{24}}{6.022 \times 10^{23}}\]

Previously, we have posted different tools for chemical engineers, like Reynolds Number Calculator. Do check them also.

FAQ (Mole to particles calculator)

1. What is Avogadro’s number used for?

It’s used to count atoms or molecules in a substance. Avogadro’s number helps convert between the mass you measure and the number of particles involved in a chemical reaction.

2. How to calculate the number of moles?

To find the number of moles, divide the mass of a substance (in grams) by its molar mass (grams per mole).

3. Why is Avogadro’s number 6.022 × 10²³?

This value is experimentally determined based on the number of atoms in exactly 12 grams of carbon-12. It has been standardized and is now a defined constant in SI units.

4. What is the unit for Avogadro’s number?

The unit of Avogadro’s number is mol⁻¹ (per mole). It represents how many particles exist in one mole of any substance.

Chemical engineer (B.Tech chemical & Post Diploma in Industrial Safety) with 7+ years of experience in operations/production & commissioning. Currently working on a greenfield polysilicon project. I publish hands-on process engineering guides at ChemicalTweak.com. Connect with me on LinkedIn.