Avogadro's Number Calculator

Created by Jack Bowater
Reviewed by Bogna Szyk and Steven Wooding
Based on research by
National Institute of Standards and Technology SI Units – Amount of Substance (June 21, 2011)
Last updated: Dec 19, 2022

This Avogadro's number calculator (also an Avogadro's constant calculator) will provide you with all your Avogadro's number needs. Want to know how many molecules are in a mole? We've got it. Need to know what is Avogadro's number? Find it here. Want to know what is the Avogadro's number definition, Avogadro's number units, or what Avogadro's number is the number of? Read on to find out!

What is Avogadro's number?

Avogadro's number definition is simple; it is the number of particles in a mole. How many particles? Exactly 6.02214076 × 1023 mol−1.

So, thanks to this calculator, you shall never wonder, "Avogadro's number is the number of what?" again!

The particles can be anything, molecules, atoms, and radioactive ions but also things like tanks of petrol, tubes of toothpaste, cigarettes, donuts, and even pizza! As long as there are 6.02214076 × 1023 of them.

We have a half-life calculator that helps you understand the principles of radioactive decay.

Avogadro's number units

Avogadro's constant units may be difficult to deduce at first glance. How can such a strange concept have a unit? Let's have a look at the equation this Avogadro's number calculator uses:

number of atoms = Avogadro's number × moles

Now, by knowing the units of the other two variables, we can work out the units for Avogadro's number:

  1. For moles, the unit is simply moles.
  2. The number of atoms is just a number; therefore, it is dimensionless, i.e., it does not have any units.
  3. Rearrange the formula to find Avogadro's constant: number of atoms / moles = Avogadro's number
  4. So, on the left-hand side, we have no units / moles, which can be expressed as mol-1.
  5. As the left-hand side equals the right-hand side, the Avogadro's number units is mol-1.

There you go, the unit of Avogadro's number is mol-1. Remember that you can always find the units of something if you know an equation with it in and the units of the rest of the variables!

Who was Avogadro?

Amedeo Avogadro was an Italian count and scientist. Born in the Italian state of Sardinia Piedmont in 1776, he received an education in the law but decided to begin studying physics and maths.

When he was 35, he hypothesized that gases with equal volume, temperature, and pressure, would have the same number of molecules. This important revelation would form part of the ideal gas law equation, a crucial formula in thermodynamics.

He worked tirelessly as a teacher at the University of Turin and eventually held posts within the government, which allowed him to introduce the metric system to Piedmont.

He died in 1856, aged 79. Avogadro's constant was named after this man for his contributions to molecular theory, thanks to his hypotheses.

We hope you found this Avogadro's number calculator useful!

Hey! If you want to know more about moles and converting them to grams, don't forget to check out our mole calculator.

FAQ

What does Avogadro's number represent?

Avogadro's number represents the number of particles present in a mole of a substance. In chemistry, by particles, we usually mean atoms or molecules, including their variants, e.g., ions.

What is Avogadro's number used for?

Avogadro's number provides a link between the microscopic and macroscopic worlds, so we can examine how one affects the other. More precisely, it allows us to convert between a substance's mass and its number of atoms.

How do I multiply Avogadro's number?

To multiply Avogadro's number:

  1. Rewrite the multiplier using scientific notation.
  2. Multiply 6.022 from Avogadro's number by the coefficient.
  3. Add the powers of 10 from both numbers.
  4. The result is the new coefficient multiplied by 10 raised to the sum of powers.

How do I calculate mass from Avogadro's number?

To calculate a mass of a single atom from Avogadro's number:

  1. Determine the atomic mass of the element in g/mol.
  2. Divide the mass by Avogadro's number.
  3. The result is the mass of an atom in grams.

How do I change 10²³ in Avogadro's number?

Typically, you will change 10²³ in Avogadro's number by either increasing or lowering the power it is raised to. Remember to multiply the coefficient by the multiplicative inverse of how much you changed the factor of 10 by.

How many molecules are in 6 moles of methane?

3.613 × 10²⁴. To calculate this result, multiply 6 moles by Avogadro's number:

6 × 6.02214076 × 10²³ = 3.613 × 10²⁴

Jack Bowater
Avogadro's constant
×10²³
Mass
g
Moles
×10⁰
mol
Molecular weight
g/mol
Number of atoms
×10²²
atoms
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