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6 September, 19:03

Automotive airbags inflate when sodium azide decomposes explosively to its constituent elements. How many grams of sodium azide are required to produce 30.5 g of nitrogen?

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  1. 6 September, 21:40
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    47.2 g of NaN3.

    Explanation:

    Equation of the reaction

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

    Molar mass of N2 = (14*2)

    = 28 g/mol

    Number of moles = mass*molar mass

    = 30.5/28

    = 1.09 moles of N2

    Using stoichiometry, 2 moles of sodium azide decomposes to give 3 moles of nitrogen.

    1.09 moles of N2 will give,

    = 2/3 * 1.09

    = 0.726 moles of NaN3

    Molar mass of NaN3 = 23 + (14*3)

    = 65 g/mol

    Mass = number of moles * molar mass

    = 65 * 0.726

    = 47.2 g of NaN3
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