# How many moles of argon are in 2.2xx10^20 molecules of argon?

Feb 14, 2018

0.00037

#### Explanation:

The relationship here is very simple to understand, I hope this helps!

A very useful constant known as Avogadro's number was created to demonstrate the relationship between molecules and moles.

It was found that for every 1 mole of a substance, $6.02 \cdot {10}^{23}$ molecules were in that substance. In other words, There is $6.02 \cdot {10}^{23}$ molecules/mole.

Therefore,

Looking at our amount of Argon, we see that we have $2.2 \cdot {10}^{20}$ molecules. We can determine our amount of moles by dividing by Avogadro's number:

$\left(2.2 \cdot {10}^{20} \text{molecules") /(6.02*10^23 "molecules/mole}\right)$

which cancels out molecules and leaves:

$\text{0.00037 moles}$