Question

The air bags in automobiles were once inflated by nitrogen gas generated by the rapid decomposition of

Answer 1

Answer:

1.57 mol NaN₃

Explanation:

• 2 NaN₃ (s) → 2 Na (s) + 3 N₂ (g)

First we use PV=nRT to calculate the number of N₂ moles that need to be produced:

• P = 1.07 atm

• V = 53.4 L

• n = ?

• R = 0.082 atm·L·mol⁻¹·K⁻¹

• T = 23.7 °C ⇒ 23.7 + 273.16 = 296.86 K

Inputing the data:

• 1.07 atm * 53.4 L = n * 0.082 atm·L·mol⁻¹·K⁻¹ * 296.86

And solving for n:

• n = 2.35 mol N₂

Finally we convert N₂ moles into NaN₃ moles, using the stoichiometric coefficients of the balanced reaction:

• 2.35 mol N₂ * $\frac{2molNaN_3}{3molN_2}$ = 1.57 mol NaN₃