1. Atoms To Moles Conversion Factor
2. Atoms To Moles How
3. Atoms To Moles To Grams Calculator
4. Atoms To Moles Calculator

Learning Objective

1. This online calculator converts moles to liters of a gas at STP (standard temperature and pressure) and liters of gas to moles. The conversion is straightforward and is based on the fact that the ideal gas equation is a good approximation for many common gases at standard temperature and pressure.
2. Learn how to convert atoms to moles using Avogadro's Number.
3. Get the free 'Mole Calculator' widget for your website, blog, Wordpress, Blogger, or iGoogle. Find more Chemistry widgets in Wolfram Alpha.

• Convert between the number of moles and the number of atoms in a given substance using Avagadro’s number

Key Points

• Avogadro’s number is a very important relationship to remember: 1 mole = [latex]6.022times10^{23}[/latex]atoms, molecules, protons, etc.
• To convert from moles to atoms, multiply the molar amount by Avogadro’s number.
• To convert from atoms to moles, divide the atom amount by Avogadro’s number (or multiply by its reciprocal).

Terms

• moleThe amount of substance of a system that contains as many elementary entities as there are atoms in 12 g of carbon-12.
• Avogadro’s numberThe number of atoms present in 12 g of carbon-12, which is [latex]6.022times10^{23}[/latex] and the number of elementary entities (atoms or molecules) comprising one mole of a given substance.

Atom or mole The SI base unit for amount of substance is the mole. 1 atom is equal to 1.27E-24 mole. Note that rounding errors may occur, so always check the results.

Moles and Atoms

As introduced in the previous concept, the mole can be used to relate masses of substances to the quantity of atoms therein. This is an easy way of determining how much of one substance can react with a given amount of another substance.

From moles of a substance, one can also find the number of atoms in a sample and vice versa. The bridge between atoms and moles is Avogadro’s number, 6.022×10²³.

Avogadro’s number is typically dimensionless, but when it defines the mole, it can be expressed as 6.022×10²³ elementary entities/mol. This form shows the role of Avogadro’s number as a conversion factor between the number of entities and the number of moles. Therefore, given the relationship 1 mol = 6.022 x 10²³ atoms, converting between moles and atoms of a substance becomes a simple dimensional analysis problem.

Converting Moles to Atoms

Given a known number of moles (x), one can find the number of atoms (y) in this molar quantity by multiplying it by Avogadro’s number:

[latex]x moles cdot frac {6.022times10^{23} atoms}{1 mole} = y atoms[/latex]

For example, if scientists want to know how may atoms are in six moles of sodium (x = 6), they could solve:

Microsoft office 365 license key code. [latex]6 moles cdot frac {6.022times 10^{23} atoms}{1 mole} = 3.61times 10^{24} atoms[/latex]

Note that the solution is independent of whether the element is sodium or otherwise.

Converting Atoms to Moles

Reversing the calculation above, it is possible to convert a number of atoms to a molar quantity by dividing it by Avogadro’s number:

[latex]frac{x atoms}{6.022times 10^{23} frac{atoms}{1 mole}} = y moles[/latex]

This can be written without a fraction in the denominator by multiplying the number of atoms by the reciprocal of Avogadro’s number:

[latex]x atoms cdot frac{1 mole}{6.022times 10^{23} atoms} = y moles[/latex]

For example, if scientists know there are [latex]3.5 cdot 10^{24} [/latex]atoms in a sample, they can calculate the number of moles this quantity represents:

[latex]3.5 times 10^{24} atoms cdot frac{1 mole}{6.022times 10^{23} atoms} = 5.81 moles[/latex]

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http://en.wiktionary.org/wiki/mole
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http://en.wikipedia.org/wiki/Avogadro’s%20number
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http://en.wikipedia.org/wiki/Avogadro_constant
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Lets say you have 2.5 moles of Au (Gold) and you’re really curious as to how many atoms of gold are in that sample. What should we do? Well just remember what Chemistry Cat says about MOLE PROBLEMS:

For any element or compound, 1 mole is equal to Avogadro’s Number of particles of that element or compound.

Atoms To Moles Conversion Factor

1 mole = 6.022 x 10²³

So, lets start plugging into a factor label equation the same way we did for Moles to Grams equations.

2.5 mole Au atoms -> __________ Au atoms

Since 1 mole is equal to Avogadro’s number, we can put that into our formula as…

6.022 x 10²³ Au atoms
1 mole Au atoms

So lets put this value into our formula and see if we can make this work…

Atoms To Moles How

2.5 mole Au atoms x 6.022 x 10²³ Au atoms
11 mole Au atoms

Atoms To Moles To Grams Calculator

We can cross out the “mole Au atoms” units so the only unit remaining is “Au atoms“. So…

2.5 x 6.022 x 10²³ Au atoms = 1.506 x 10²⁴ Au atoms

___________Easy! When you go from grams to moles you MULTIPLY BY THE ATOMS!_______________
But, what if I want to go from atoms to moles??? EASY!!! DIVIDE BY AVOGADRO’S NUMBER!
How many moles of Zn is 2.75 x 10²⁴ atoms of Zn?

2.75 x 10²⁴ Zn atoms x 1 mole Zn atoms= 4.57 mole Zn atoms
1 6.022 x 10²³ Zn atoms

Since, 1 mole of any element = Avogadro’s number of atoms (or molecules), you can flip the equation to work for you! Since we have moles on the top left of the formula, we want moles on the bottom right so they can cancel out!

Atoms To Moles Calculator

Your homework for tonight is to finish the second 10 problems (the back side) of the Moles Conversions Worksheet (found on semester 1 Docs). You can also watch the Voicethread on mole conversions using the App or the semester 1 Notes Page.