Question

Automobile air bags are inflated with $N_2$ gas which is formed by the decomposition of solid sodium azide $\left({NaN}_3\right)$. The other product is $Na-$ metal. Calculate the volume of $N_2$ gas at $27$ and 1 atm formed by the decomposing of 130gm of sodium azide.

Answer 1

$Na{N}_3\to Na+\frac{3}{2}{N}_2$

1 mole of sodium azide gives $\frac{3}{2}$ moles of $N_2$.

Given moles of Sodium Azide$=\frac{130}{65}=2$

$\therefore$ moles of $N_2$ formed$=n=\frac{3}{2}\times 2=3$

$\because PV=nRT$

$\Rightarrow V=\frac{nRT}{P}=\frac{3\times 0.082\times 300}{1}=73.89L$