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Question 5.12: Sodium azide (NaN3) is used in some automobile air bags. The...

Sodium azide (NaN_{3}) is used in some automobile air bags. The impact of a collision triggers the decomposition of NaN_{3} as follows:

2NaN_{3}(s) → 2Na(s) + 3N_{2}(g)

The nitrogen gas produced quickly inflates the bag between the driver and the windshield and dashboard. Calculate the volume of N2 generated at 80°C and 823 mmHg by the decomposition of 60.0 g of NaN_{3}.

Strategy From the balanced equation, we see that 2   mol   NaN_{3}  \bumpeq   3    mol N_{2} so the conversion factor between NaN_{3}  and  N_{2}  is

\frac{3  mol N_{2}}{2  mol  NaN_{3}}

Because the mass of NaN_{3} is given, we can calculate the number of moles of NaN_{3} and hence the number of moles of N_{2} produced. Finally, we can calculate the volume of N_{2} using the ideal gas equation.


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