1. Write the balanced chemical equation:

6 Li + N₂ → 2 Li₃N

2. Determine the mole ratio:

The balanced equation shows that 6 moles of Li react with 1 mole of N₂.

3. Calculate the moles of N₂ needed:

Since we have 0.500 moles of Li, we can use the mole ratio to find the moles of N₂:

(0.500 mol Li) * (1 mol N₂ / 6 mol Li) = 0.0833 mol N₂

Therefore, you need 0.0833 moles of N₂ to react with 0.500 moles of Lithium.