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Ch.5 - Gases
Tro - Chemistry: A Molecular Approach 4th Edition
Tro4th EditionChemistry: A Molecular ApproachISBN: 9780134112831Non è quello che usi tu?Cambia libro di testo
Capitolo 5, Problema 75

Automobile air bags inflate following a serious impact. The impact triggers the chemical reaction: 2 NaN3(s) → 2 Na(s) + 3 N2(g) If an automobile air bag has a volume of 11.8 L, what mass of NaN3 (in g) is required to fully inflate the air bag upon impact? Assume STP conditions.

Guida verificata passo dopo passo
1
Identify the balanced chemical equation: \(2 \text{NaN}_3(s) \rightarrow 2 \text{Na}(s) + 3 \text{N}_2(g)\).
Determine the volume of gas produced at STP. At STP, 1 mole of gas occupies 22.4 L. Use this to find the moles of \(\text{N}_2\) needed to fill 11.8 L.
Use the stoichiometry of the reaction to find the moles of \(\text{NaN}_3\) required. From the balanced equation, 2 moles of \(\text{NaN}_3\) produce 3 moles of \(\text{N}_2\).
Calculate the moles of \(\text{NaN}_3\) using the ratio from the balanced equation and the moles of \(\text{N}_2\) calculated in the previous step.
Convert the moles of \(\text{NaN}_3\) to grams using its molar mass (65.01 g/mol).

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Stoichiometry

Stoichiometry is the calculation of reactants and products in chemical reactions based on the balanced chemical equation. It allows us to determine the relationships between the quantities of substances involved in a reaction. In this case, the stoichiometric coefficients from the reaction of sodium azide (NaN3) provide the necessary ratios to calculate how much NaN3 is needed to produce a specific volume of nitrogen gas (N2) at standard temperature and pressure (STP).
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Stoichiometry Concept

Ideal Gas Law

The Ideal Gas Law relates the pressure, volume, temperature, and number of moles of a gas through the equation PV = nRT. At STP, one mole of an ideal gas occupies 22.4 liters. This law is essential for determining how many moles of nitrogen gas are produced from the decomposition of sodium azide, which can then be used to find the mass of NaN3 required for the airbag to inflate.
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Ideal Gas Law Formula

Molar Mass

Molar mass is the mass of one mole of a substance, typically expressed in grams per mole (g/mol). It is crucial for converting between the mass of a substance and the number of moles. In this problem, knowing the molar mass of sodium azide (NaN3) allows us to calculate how many grams are needed based on the moles derived from the stoichiometric calculations and the Ideal Gas Law.
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