200.98grams
The balanced chemical reaction between Lithium and nitrogen is given as:
[tex]6Li+N_2\rightarrow2Li_3N[/tex]Given the following parameter
Mass of Li3N = 500grams
Determine the moles of Li3N
[tex]\begin{gathered} moles\text{ of Li}_3N=\frac{mass}{molar\text{ mass}} \\ moles\text{ of Li}_3N=\frac{500}{34.83} \\ mass\text{ of }Li_3N=14.36moles \end{gathered}[/tex]Based on stoichiometry, 1 mole of nitrogen produced 2 moles lithium nitride. The moles of nitrogen required will be:
[tex]\begin{gathered} moles\text{ of }N_2=\frac{1}{2}\times14.36 \\ moles\text{ of N}_2=7.18moles \end{gathered}[/tex]Determine the mass of nitrogen that reacted
[tex]\begin{gathered} Mass\text{ of N}_2=7.18\times2(14) \\ Mass\text{ of N}_2=7.18\times28 \\ Mass\text{ of N}_2=200.98grams \end{gathered}[/tex]Hence the mass of nitrogen that has reacted if 500g of Li3N was produced is 200.98grams