Airbags in cars are devices that inflate very rapidly (inabout 30 milliseconds)

Question

Airbags in cars are devices that inflate very rapidly (inabout 30 milliseconds) when there is a collision, creating acushion that deflates slowly and cushions the impact of thecollision on the driver or the passenger. The bag is inflated by agas which is generated by the rapid heating of sodium azide(NaN3) to about 300 °C, causing it to decompose intosodium metal and nitrogen gas.

Enough nitrogen must be generated in the bag to create a totalpressure of 3.00 atm, which then drops as the bag slowly deflates.Assuming the volume of the bag is 48.0 L and the temperature in thecar is 23 °C, calculate the molar quantity of N2that must be generated.

What mass of sodium azide is required? Airbags in cars are devices that inflate very rapidly (inabout 30 milliseconds) when there is a collision, creating acushion that deflates slowly and cushions the impact of thecollision on the driver or the passenger. The bag is inflated by agas which is generated by the rapid heating of sodium azide(NaN3) to about 300 °C, causing it to decompose intosodium metal and nitrogen gas.

Enough nitrogen must be generated in the bag to create a totalpressure of 3.00 atm, which then drops as the bag slowly deflates.Assuming the volume of the bag is 48.0 L and the temperature in thecar is 23 °C, calculate the molar quantity of N2that must be generated.

What mass of sodium azide is required?

Explanation / Answer

V = 48.0 L P = 3.00 atm T = 23 C = 296 K Moles of nitrogen, n = P V / RT                                = 3.00 atm * 48.0 L / ( 0.0821 L-atm/mol/K * 296 K)                                 =5.93 mol                      2NaN3 2 Na + 3 N2 2 moles of sodium azide are required to produce 3 moles ofnitrogen. So moles of sodium azide required = 5.93 mol * 2/ 3                                                      =3.95 mol Mass of sodium azide = moles * molar mass                                  =3.95 mol * 65.01 g/mol                                  =256.78g

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