Answer to Question #344167 in General Chemistry for melods

Question

The safety air bags in automobiles are inflated by nitrogen gas generated by the rapid decomposition of sodium azide, NaN3 (molar mass= 65.01 g/mol). If an air bag has a volume of 36 L and is to be filled with nitrogen gas at a pressure of 1.15 atm at a temperature of 26.0 °C, how many grams of NaN3 must be decomposed? _____ g NaN3

Answer 1

The reaction of azide decomposition:

$2NaN_3→2Na+3N_2$

The mole number can be deduced from the given parameters:

$pV=nRT$ ,

where p is a pressure in atm, V is the volume in litres (L), n is a mole number, R is a gas constant ($0.082 \frac{L\times atm}{R \times mole}$ ) and T is the temperature in Kelvin.

$n=\frac{pV}{RT} = \frac{1.15 atm \times 36 L}{0.082 \times (26+273)K} = 1.69 mole$

The mass of azide can be obtained from mole number:

$m = nM = 1.69 mole \times 65.01 g/mol = 109.78 g$