1. **State the problem:** Lithium metal reacts with nitrogen gas to produce a black solid. We need to find how many moles of product are produced if 1.80 moles of lithium react. 2. **Write the balanced chemical equation:** Lithium reacts with nitrogen gas ($N_2$) to form lithium nitride ($Li_3N$). The balanced equation is: $$6Li + N_2 \rightarrow 2Li_3N$$ 3. **Identify mole ratios:** From the equation, 6 moles of lithium produce 2 moles of lithium nitride. 4. **Set up the mole ratio to find moles of product:** $$\frac{2\text{ moles } Li_3N}{6\text{ moles } Li} = \frac{x\text{ moles } Li_3N}{1.80\text{ moles } Li}$$ 5. **Solve for $x$:** $$x = \frac{2}{6} \times 1.80 = \frac{\cancel{2}}{\cancel{6}} \times 1.80 = \frac{1}{3} \times 1.80 = 0.60$$ 6. **Answer:** 0.60 moles of lithium nitride are produced when 1.80 moles of lithium react.