Automobile air bags inflate during a crash or sudden stop by the rapid generatio

Question

Automobile air bags inflate during a crash or sudden stop by the rapid generation of nitrogen gas from sodium azide. 2NaN3(s) -->2Na(s) + 3N2 (g) How many moles of sodium azide are needed to produce sufficient nitrogen to fill a 50.0 L air bag to a pressure of 1.25 atm at 25C? Automobile air bags inflate during a crash or sudden stop by the rapid generation of nitrogen gas from sodium azide. 2NaN3(s) -->2Na(s) + 3N2 (g) How many moles of sodium azide are needed to produce sufficient nitrogen to fill a 50.0 L air bag to a pressure of 1.25 atm at 25C? How many moles of sodium azide are needed to produce sufficient nitrogen to fill a 50.0 L air bag to a pressure of 1.25 atm at 25C?

Explanation / Answer

PV = nRT

n = PV / RT = (1.25*50.0) / (0.0821*298) = 62.5 / 24.5 = 2.55 mole

Therefore, the number of moles of N2 = 2.55 mole

from the balanced equation we can say that

3 mole of N2 is produced by 2 mole of NaN3 so

2.55 mole of N2 will be produced by

= 2.55 mole of N2 *(2 mole of NaN3 / 3 mole of N2)

= 1.70 mole of NaN3

Therefore, the number of moles of sodium azide needed are 1.70 mole

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