The airbags that protect people in car crashes are inflated by the extremely rap

Question

The airbags that protect people in car crashes are inflated by the extremely rapid decomposition of sodium azide, which produces large volumes of nitrogen gas. 1. Write a balanced chemical equation, including physical state symbols, for the decomposition of solid sodium azide (NaN3) into solid sodium and gaseous dinitrogen. 2. Suppose 50.0 L of dinitrogen gas are produced by this reaction, at a temperature of 18.0 °C and pressure of exactly 1 atm. Calculate the mass of sodium azide that must have reacted. Round your answer to 3 significant digits 0s

Explanation / Answer

1) 2NaN3(s) ----------> 2Na(s) + 3N2(g) balanced equation for decomposition of NaN3.

2) first calculate the moles of N2 gas collected.

PV = nRT

n = PV / RT

n = 1.0 x 50.0 / 0.0821 x 291

n = 50.0 / 23.8911

n = 2.1

2.1 moles of N2 formed.

according to balanced reaction

3 moles N2 require 2 x 65.01 g NaN3

2.1 moles N2 require 2.1 x 2 x 65.01 / 3 = 91.01 g NaN3

mass of NaN3 required = 91.01 g

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