CH 202 Problem 3.63

3.63 Automotive airbags inflate when sodium azide, NaN3, rapidly decomposes into its component elements:

2NaN3(s) ----> 2Na(s) + 3N2(g)

(a) How many mol of N2 are produced by the decomposition of 1.50 mol NaN3?

from the coefficient of NaN3 and N2 in the balanced equation,

so 2.25 mol N2 is produced.

(b) How many grams of sodium azide are required to form 10.0 g of nitrogen gas?

here, we convert 10.0 g nitrogen ---> mol nitrogen ---> mol sodium azide ---> g sodium azide:

molar mass nitrogen:

molar mass sodium azide:

now,

(c) How many grams of sodium azide are required to produce 10.0 ft3 of nitrogen gas if the gas has a density of 1.25 g/L?

here, we have a volume and a density for nitrogen gas; we can find the mass of nitrogen gas, and then convert this mass to g sodium azide.

first, we have some units to deal with. lets convert cubic feet to liters first ( 1 in = 2.54 cm)

(3 sig figs)

so the mass of nitrogen corresponding to a volume of 10 ft3 is

so we convert 354 g nitrogen to g sodium azide:

DAC 7/2/08