What mass of sodium azide, in grams, is required to produce 112 L of nitrogen gas with a density of 1.26 g/L

Question

A sample of sodium azide (NaN3) is rapidly decomposed. What mass of sodium azide, in grams, is required to produce 112 L of nitrogen gas with a density of 1.26 g/L given this equation 2NaN3 (s) → 2Na (s) + 3N2 (g)

Answer 1

2NaN₃(s) ==> 2Na(s) + 3N₂(g)

Find moles of N₂ gas produced

112 L N₂ x 1.26 g / L x 1 mol / 28 g = 5.04 mols N₂ gas

Use dimensional analysis and the stoichiometry of the balanced equation to find grams NaN₃ needed

5.04 mols N₂ x 2 mols NaN₃ / 3 mols N₂ x 65.0 g / mol = 218 g NaN₃ needed