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University of New Mexico

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Problem 67

Automotive air bags inflate when sodium azide, $\mathrm{NaN}_{3}$ , rapidly decomposes to its component elements:

$$

2 \mathrm{NaN}_{3}(s) \longrightarrow 2 \mathrm{Na}(s)+3 \mathrm{N}_{2}(g)

$$

(a) How many moles of $\mathrm{N}_{2}$ are produced by the decomposition of 1.50 $\mathrm{mol}$ of $\mathrm{NaN}_{3} ?$

(b) How many grams of NaN $_{3}$ are required to form 10.0 $\mathrm{g}$ of nitrogen gas?

(c) How many grams of NaN $_{3}$ are required to produce 10.0 $\mathrm{ft}^{3}$ of nitrogen gas, about the size of an automotive air bag, if the gas has a density of 1.25 $\mathrm{g} / \mathrm{L} ?$

Answer

a) See explanation for solution.

b) See explanation for solution.

c) See explanation for solution.

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## Discussion

## Video Transcript

first offal we need to deter mined the decomposition off and the entry that can be shown house and hey and three decomposition leads to two and me, plus a daughter in law six. Statham's off my fortune From the above reaction three moles off My Trojan is produced from two moves off any entry So now we need to deter Mined in the mother off Moves off my trojan So number off moored off my cogen gives three for my trojan divided by two molds for the reacted in tow one point 50 moles It give this true point to five moons Oh, nitrogen to seconded We need to calculate them will amass off any entry along with him too. So nitrogen the molecule abate is 14 There are two atoms giving us to into 14 that is 28 grounds for more on for an A and three so any is about 23 rounds less three atoms for my Trojan with molecular weight off 14 giving us about 65 grounds for the head. Now we need to calculate the mass off any and three needed to form 10 grams off my tuition again you're is In the unitary method, you can have two multiplied by 65 divided by three in tow. Night Georgian multiplied with 10.0 grams equals 15.47 grounds off any and treat caution. See, now we need to convert 10 cubic feet into a leader. So this is volume and leaders. The formula is 10 multiplied bread, 12 inch divided by one feet. Cube multiplied with 16 0.4 divided by one multiplied with one divided by chosen centimeter square bitches. 200 maybe 3.4 leaders. Is this a again? Would damn this the longest? Now we need to calculate the mass off into so we know formula density equals mass per unit will loom. We have density along with Williams, or density is 1.25 grams multiplied with toe 83.4 liters that give us the moss as 354.3 girls from that, we need to calculate the mask off any and three used to produce 354 grounds off into. So now we have to multiply two with 64.98 divided by three with respect to nitrogen, 28 multiply with 354.3, which gives us about 548 grounds off any in three.

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