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30 March, 09:00

Sodium azide decomposes rapidly to produce nitrogen gas.

2 NaN3 - -> 2 Na + 3 N2

What mass of sodium azide will inflate a 60.0 L airbag for a car to a pressure of 1.50 atm at 32*C? (R = 0.08206 L*atm/mol*K)

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  1. 30 March, 09:05
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    156 g

    Explanation:

    Let's consider the following reaction.

    2 NaN₃ (s) → 2 Na (s) + 3 N₂ (g)

    We can find the moles of N₂ using the ideal gas equation.

    P * V = n * R * T

    1.50 atm * 60.0 L = n * (0.08206 atm. L/mol. K) * 305 K

    n = 3.60 mol

    The molar ratio of N₂ to NaN₃ is 3:2. The moles of NaN₃ are:

    3.60 mol N₂ * (2 mol NaN₃ / 3 mol N₂) = 2.40 mol NaN₃

    The molar mass of NaN₃ is 65.01 g/mol. The mass of NaN₃ is:

    2.40 mol * 65.01 g/mol = 156 g
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