(Solved): In designing air bags used in cars, the decomposition of sodium azide, NaN3, is used to rapidly prod ...

In designing air bags used in cars, the decomposition of sodium azide, NaN₃, is used to rapidly produce nitrogen gas, which quickly fills the air bags.

2 NaN₃ (s)   ?   2 Na (s)   +   3 N₂ (g)

How many grams of sodium azide are needed to produce 53 L of nitrogen gas to inflate a normal air bag at 21.4 °C and 1.00 atm?

In designing air bags used in cars, the decomposition of sodium azide, \( \mathrm{NaN}_{3} \), is used to rapidly produce nitrogen gas, which quickly fills the air bags. \( 2 \mathrm{NaN}_{3}(s) \rightarrow 2 \mathrm{Na}(s)+3 \mathrm{~N}_{2}(g) \) How many grams of sodium azide are needed to produce \( 53 L \) of nitrogen gas to inflate a normal air bag at \( 21.4{ }^{\circ} \mathrm{C} \) and \( 1.00 \mathrm{~atm} \) ? \[ R=0.08206 \frac{L \mathrm{~atm}}{\mathrm{~mol} K} \] Do NOT include units in your answer. If you round during your calculation, be sure to keep at least three (3) decimal places. Report your answer to one (1) decimal place. Answer: