A technician is designing an airbag for a new model car. She wants to use 72.0g of sodium azide (#NaN_3#) to inflate the bag at 22.0°C and 1.00 atm. What is the maximum volume of the airbag under these conditions?

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Answer 1 · 2016-03-10T18:08:49

Approx #40# #L#. Hopefully, this is enough to stop you banging your nut on the dash.

We need the azide decomposition reaction:

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

else,

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

I divided the soithciometric coefficients to make things a bit easier on myself.

So, moles of sodium azide #=# #(72.0*g)/(65.01*g*mol^-1)# #=# #1.11*mol#.

So #1.66# #mol# dinitrogen gas can be evolved under these conditions.

And, #V# #=# #(1.66*cancel(mol)xx0.0821*L*cancel(atm)*cancel(K^-1)*cancel(mol^-1)xx295cancelK)/(1*cancel(atm)# #=# #??# #"litres"#