air bags in automobiles contain crystals of sodium azide, NaN3, which during a c

Question

air bags in automobiles contain crystals of sodium azide, NaN3, which during a collision decomposes rapidly to give nitrogen gas and sodium metal. The nitrogen liberated by this process instantly inflates the air bag. Assume that the nitrogen gas liberated behaves as an ideal gas and that any solid produced has a negligible volume (which may be ignored).

(a) Calculate the mass (in grams) of sodium azide required to generate enough nitrogen gas to fill a 57.0-L air bag at 1.37 atm and 25.0 degree C

(b)What is the root mean square speed of the N2 gas molecule generated?

Explanation / Answer

a) Moles of N2 = 1.37*57/(0.0821*298) = 3.192 moles

Reaction => 2NaN3 ------> 2Na + 3N2
Moles of NaN3 = (2/3) *3.192 = 2.13moles

Mass of NaN3 = 2.13*65 = 138.31grams

b) V(rms) = (3RT/M) = (3*8.314*298/28) = 16.293

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