Chemistry Practice Problems Internal Energy Practice Problems Solution: Automobile airbags contain solid sodium azide, NaN...

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# Solution: 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) in J, for the following system if 33.2 g of NaN3 reacts completely at 1.00 atm and 22 °C.

###### Problem

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) in J, for the following system if 33.2 g of NaN3 reacts completely at 1.00 atm and 22 °C.

###### Solution

We’re being asked to calculate the work for the system if 33.2 g of NaN3 reacts completely at 1.00 atm and 22 ˚C

The given reaction is:

2 NaN3(s)  2 Na(s) + 3 N2(g)

Recall that work (w) is given by:

$\overline{){\mathbf{w}}{\mathbf{=}}{\mathbf{-}}{\mathbf{P\Delta V}}}$

where:

P = pressure (in atm)

ΔV = Vfinal – Vinitial = change in volume (in L)

Also note that if work is:

• (+): work is done by the surroundings to the system (compression)

• (–): work is done by the system to the surroundings (expansion)

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