On April $16,1947,$ in Texas City, Texas, two cargo ships, the Grandcamp and the High Flier, were each loaded with approximately 2000 tons of ammonium nitrate fertilizer. The Grandcamp caught fire and exploded, followed by the High Flier. More than 600 people were killed and one-third of the city was destroyed. Considering a much smaller mass, how would you count the number of $\mathrm{N}_{2}$ molecules that could be produced after the explosion of $1.00 \mathrm{~kg}$ of $\mathrm{NH}_{4} \mathrm{NO}_{3} ?$