#"Sodium azide"#, #NaN_3#, is used in air-bags as a source of dinitrogen...?

Question

Given that the salt decomposes according to the reaction..

#NaN_3(s) rarrNa(g) + 3/2N_2(g)#

What mass of the salt is required to produce a #100L# of dinitrogen gas at #298K?#

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Answer 1 · 2016-05-15T07:15:49

#NaN_3(s) rarr Na(s) + 3/2N_2(g)#

#3/2# equiv dinitrogen gas are produced per equiv sodium azide.

We need #n(N_2)# #=# #(PV)/(RT)#

#=((755*mm*Hg)/(760*mm*Hg*atm^-1)xx100*L)/(0.0821*L*atm*K^-1*mol^-1xx298K)#

#~= 4*mol#

And thus we need a mass of sodium azide, #2/3xx4*molxx65.01*g*mol^-1# #=# #173*g#

Please redo these calculations as I am doing them on paper.