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Moles to Atoms Converter

Looking for a reliable moles to atoms converter for a chemistry problem? You're at the right place! Our converter makes the mole-to-atom conversion simple (and vice versa). Simply enter the number of atoms (or moles), and it instantly converts them into moles (or atoms) using Avogadro's number. In this article, we'll explain:

  • What a mole is;
  • How to find atoms from moles and convert atoms to moles by hand; and
  • A step-by-step example to help you practice without a calculator.

Ready to learn how to convert moles to atoms? Let's dive in!

What is a mole?

The mole (mol\text{mol}) is one of the base units of the International System of Units (SI), adopted in 1971, which is primarily used in physics and chemistry. Back then, it was defined as the number of elementary entities, equivalent to the number of atoms in 12 grams of carbon-12. Since May 2019, the mole is the amount of matter in a system containing exactly 6.02214076×1023\rm{6.02214076 × 10^{23}} elementary entities (atoms, ions, molecules, etc).

This number, called "Avogadro's number", corresponds to the fixed numerical value of Avogadro's constant, NA{\displaystyle N_{\text{A}}}, when expressed in mol1\mathrm{mol^{−1}}.

You can learn more with our following articles: "What is a mole?" and "What is Avogadro's number?".

How to convert moles to atoms

To convert moles to atoms, multiply the number of moles by Avogadro's number:

Atoms=Moles×6.02214076×1023\text{Atoms} = \text{Moles} \times 6.02214076 \times 10^{23}

This calculation tells you exactly how many atoms are present in a given amount of substance.

🔬 Quick explanation of Avogadro's number

Avogadro's number (6.02214076 × 1023) is a fundamental constant in chemistry that tells us how many particles are in one mole of a substance. This number is huge, but it allows chemists to bridge the gap between the microscopic world of atoms and the macroscopic world we can measure in grams and liters. It's what makes stoichiometry possible.

How to convert atoms to moles

To convert atoms to moles, divide the number of atoms by Avogadro's number:

Moles=Number of Atoms6.02214076×1023\text{Moles} = \frac{\text{Number of Atoms}}{6.02214076 \times 10^{23}}

where (6.02214076×1023 mol1)(6.02214076 \times 10^{23} \ \mathrm{mol^{-1}}) is, as you know now, Avogadro's constant, i.e., the number of atoms in exactly one mole of a substance.

That's it! This is how to calculate atoms from moles. Easy, isn't it? This conversion is commonly used in stoichiometry when analyzing chemical reactions.

Want to know more about it? Check out our chemical equation balancer!

How to use our atoms to moles converter

Our moles to atoms converter is very easy to use:

  1. To find the number of atoms, enter a value in the Number of moles field.
  2. To find the number of moles, enter a value in the Number of atoms field instead.
  3. In both cases, the result will automatically appear in the other field, and we show the complete step-by-step calculation at the bottom of the calculator.

After using our how-to-find-atoms-from-moles tool, don't hesitate to visit our atom calculator.

Example: How to calculate atoms from moles by hand

Suppose you have 0.50\mathbf{0.50} moles of carbon atoms. Let's convert it to the number of atoms:

Atoms=0.50×6.02214076×10233.011×1023\begin{align*} \text{Atoms} &= \rm{0.50} \times 6.02214076 \times 10^{23}\\ & \approx 3.011 \times 10^{23} \end{align*}

Therefore, you have approximately 3.011×1023\mathrm{3.011 \times 10^{23}} carbon atoms

If you're interested in this topic, you can quench your thirst for knowledge by reading our two related articles: "How Many Molecules are in a Mole?" and "What is a Dalton?".

FAQs

How do I convert atoms to moles?

To convert atoms to moles:

  1. Write down the number of atoms.
  2. Divide the number of atoms by Avogadro's number (6.02214076 × 1023 mol-1).
  3. That's it. This gives you the number of moles.

How many moles are in 6.02 × 10^23 atoms of magnesium?

About 1.00 mol. To convert atoms to moles, divide the number of atoms by Avogadro's number:

Moles = 6.02 × 1023/6.02214076 × 1023 ≈ 1 mol

There is 1.00 mole of magnesium in 6.02 × 1023 atoms.

How do I calculate moles?

If you want to know how many moles of a material you have, divide the mass of the material by its molar mass. The molar mass of a substance is the mass in grams of one mole of that substance.

Does 1 atom equal 1 mole?

One mole of a substance is equal to 6.02214076 × 1023 units of that substance (such as atoms, molecules, or ions). The number 6.02214076 × 1023 is known as Avogadro's number or Avogadro's constant.

Atoms = Moles × Avogadro’s constant

Did we solve your problem today?

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