Question

Automobile airbags contain solid sodium azide, NaN3, that reacts to produce nitrogen gas when heated, thus inflating the bag. 2NaN3(s)⟶2Na(s)+3N2(g) Calculate the value of work, ?, for the system if 13.2 g NaN3 reacts completely at 1.00 atm and 22 ∘ C.

Answer 1

The complete step wise calculation of the work done is given as below:-

It ig givencth at, = 1.o0 atm,mass a Na N3 13.2 Presgune (P) 2+273)k = 295k Temp en at wne (T)22 Reaction given ba- D 2Nas) 3N2(3) 2NaN3 (S) Moleculan weight af NaN3 65 mol. Numb en af moles a NaN3 13.2 65 8IMOR 0 2031 moles ofNan3 moleg fNaN3 Grag Conetant (R) 0.0 821 Latm mol. k

From the above ea cth0n Owe have a N2C) 2 mdes al N aN3 ives 3 mole Then o.2031 moles va N3 o 2231)maley af =0.30 5 moles (3 we have FrO m ideal pv= nRT where, v chan ge in volume Then VmRT P (0.305 motes)x(o.0gi Latmmal. X295k 100 autm V 39 L on

So the chan ge in volume wiel be 7 39 L and Pexd l'o0 at m wonk done ven by Then -Pext dV C-o0)atm x 739 L 739 L. at On Since l01.325 J 1 Latm -739 x (lol.325 J 748.79 2J Then So, the wok will be wE-748 92 J won k done by the Stem. ative sign fn Neg