1. Write the Balanced Chemical Equation:
The reaction between lithium (Li) and nitrogen gas (N₂) produces lithium nitride (Li₃N):
6 Li + N₂ → 2 Li₃N
2. Calculate Moles of Nitrogen Gas:
* At STP (Standard Temperature and Pressure), 1 mole of any gas occupies 22.4 L.
* Convert the volume of nitrogen gas to liters: 60.00 mL = 0.06000 L
* Use the molar volume of a gas to find moles:
(0.06000 L N₂) * (1 mol N₂ / 22.4 L N₂) = 0.002679 mol N₂
3. Determine the Mole Ratio:
* From the balanced equation, 1 mole of N₂ reacts with 6 moles of Li.
4. Calculate Moles of Lithium:
* Use the mole ratio to find the moles of Li needed:
(0.002679 mol N₂) * (6 mol Li / 1 mol N₂) = 0.01607 mol Li
5. Calculate Mass of Lithium:
* Use the molar mass of Li (6.941 g/mol) to convert moles to grams:
(0.01607 mol Li) * (6.941 g Li / 1 mol Li) = 0.1117 g Li
Therefore, 0.1117 grams of lithium are required to react completely with 60.00 mL of nitrogen gas at STP.