Question

Automobile airbags contain solid sodium azide, NaN3, that reacts to produce nitrogen gas when heated, thus...

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, w, for the system if 24.0 g NaN3 reacts completely at 1.00 atm and 22 °C.

W=?J

Homework Answers

Answer #1

Molar mass of NaN3 = 1*MM(Na) + 3*MM(N)

= 1*22.99 + 3*14.01

= 65.02 g/mol

mass of NaN3 = 24.0 g

mol of NaN3 = (mass)/(molar mass)

= 24.0/65.02

= 0.3691 mol

From balanced chemical reaction, we see that

when 2 mol of NaN3 reacts, 3 mol of N2 is formed

mol of N2 formed = (3/2)* moles of NaN3

= (3/2)*0.3691

= 0.5537 mol

we have:

P = 1.0 atm

n = 0.5537 mol

T = 22.0 oC

= (22.0+273) K

= 295 K

we have below equation to be used:

P * V = n*R*T

1 atm * V = 0.5537 mol* 0.0821 atm.L/mol.K * 295 K

V = 13.41 L

W = -Pext(Vf-Vi)

P = 1.0atm

Vi = 0.0 L

Vf = 13.41 L

put values in above expression

W = -Pext(Vf-Vi)

W = -1.0atm (13.41L - 0.0L)

W = -13.41 atm.L

W = -13.41 *101.33 J

W = -1359 J

Answer: -1359 J

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