Answer : The number of nitrogen atoms are, [tex]3.61\times 10^{24}[/tex]
Explanation : Given,
Mass of [tex]NH_4NO_3[/tex] = 240 g
Molar mass of [tex]NH_4NO_3[/tex] = 80 g/mole
First we have to calculate the moles of [tex]NH_4NO_3[/tex]
[tex]\text{Moles of }NH_4NO_3=\frac{\text{Mass of }NH_4NO_3}{\text{Molar mass of }NH_4NO_3}=\frac{240g}{80g/mole}=3mole[/tex]
As we know that [tex]NH_4NO_3[/tex] contains 2 number of nitrogen atoms, 4 number of hydrogen atoms and 3 number of oxygen atoms.
Now we have to calculate the number of atoms of nitrogen.
As, 1 mole of [tex]NH_4NO_3[/tex] contains [tex]2\times 6.022\times 10^{23}[/tex] number of nitrogen atoms
As, 3 mole of [tex]NH_4NO_3[/tex] contains [tex]3\times 2\times 6.022\times 10^{23}=3.61\times 10^{24}[/tex] number of nitrogen atoms
Therefore, the number of nitrogen atoms are, [tex]3.61\times 10^{24}[/tex]
