Hello!
[tex]\large\boxed{5.33*10^{4} moles}[/tex]
Begin by converting [tex]3.21 * 10^{28}[/tex] molecules to moles using Avogadro's number:
[tex]3.21*10^{28} moles* \frac{1 mol}{6.02*10^{23} moles} = \frac{3.21*10^{28} }{6.02*10x^{23} }moles[/tex]
Simplify:
[tex]\frac{3.21*10^{28} }{6.02*10x^{23} }=0.53*10^{5} = 5.33*10^{4}[/tex]
Therefore, there are [tex]5.33*10^{4}[/tex] moles in [tex]3.21*10^{28}[/tex] molecules of [tex]N_{2}[/tex].
