From the periodic table:
mass of sodium = 23 grams
mass of nitrogen = 14 grams
molar mass of NaN3 = 23 + 3(14) = 65 grams
molar mass of N2 = 2(14) = 28 grams
From the balanced chemical equation:
2 moles of NaN3 produces 3 moles of N2.
This means that 130 grams of NaN3 produces 84 grams of N2.
To know the amount of N2 produced from 38 grams of NaN3, we will just do a cross multiplication as follows:
amount produced = (38 x 84) / (130) = 24.55 grams
number of moles = mass/molar mass = 24.55 / 28 = 0.876 moles
one mole occupies 47 liters, therefore:
volume = 0.876 x 47 = 41.2153 liters
