We’re being asked to **calculate the work** for the system if **33.2 g of NaN _{3}** reacts completely at

The given reaction is:

2 NaN_{3}(s) → 2 Na(s) + 3 N_{2}(g)

Recall that ** work (w)** is given by:

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

where:

**P** = pressure (in atm)

**ΔV** = V_{final} – V_{initial} = 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)*

Automobile airbags contain solid sodium azide, NaN_{3}, that reacts to produce nitrogen gas when heated, thus inflating the bag.

2NaN_{3} (s) → 2Na (s) + 3N_{2} (g)

Calculate the value of work (w) in J, for the following system if 33.2 g of NaN_{3} reacts completely at 1.00 atm and 22 °C.

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Based on our data, we think this problem is relevant for Professor Crowell's class at UCSD.