Question

how many moles of nitrogen are there in 8.25E24 atoms of nitrogen

Answer 1

We are asked to determine the number of moles in a given number of atoms of nitrogen. To do that we will use Avogadro's number, that is:

$1mol=6.023\times10^{23}\text{atoms}$

Applying the conversion factor we get:

$8.2\times10^{24}atom\times\frac{1\text{mol}}{6.023\times10^{23}\text{atom}}=13.6mol$