A vehicle airbag uses a gas generator A series of three reactions is used to con

Question

A vehicle airbag uses a gas generator A series of three reactions is used to convert the highly toxic sodium azide, NaNs, into N2 gas and harmless siliate glass. The nitrogen gas fills up the airbag, causing it to rapidly expand in a head-on collision Balance the reactions involved in the deployment of an airbag by inserting the appropriate coefficients that contains a mixture of three compounds: NaN3 KNO3, and SiO2- Na(s)-KN03(s) K2O(s) + Na,O(s) + N2(g) 2. The drive-side airbag deploys when a car is in a head-on colision. The airbag inflates to a volume of 64.5 L and a pressure of 1.38 atm at 25.0 °C. Calculate the amount of NaNa in grams, that the manufacturer of the vehicle placed into the gas generator to produce this amount of nitrogen gas. Assume the nitrogen gas behaves as an ideal gas and the only source of the nitrogen gas is the first reaction shown above. A list of physical constants can be found here. Number

Explanation / Answer

moles of N2 :

volume = 64.5 L

pressure = 1.38 atm

temperature = 25.0 oC

P V = n R T

1.38 x 64.5 = n x 0.0821 x 298

n = 3.638

moles of N2 = 3.638 mol

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

2 mol NaN3 ---------------> 3 mol N2

    ??          ------------------> 3.638 mol N2

moles of NaN3 = 3.638 x 2 / 3 = 2.425 mol

mass of NaN3 = 2.425 x 65

mass of NaN3 = 157.6 g

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