Sodium azide (NaN 3 ) yields N2 gas when heated to 300^∘ C, a reaction used in automobile air ba

step 1 We're going to set up a series of conversion factors, starting with 38 .5 grams of sodium azide.

Sodium azide (NaN 3 ) yields N2 gas when heated to 300^∘ C,...

Sodium azide (NaN $_{3} )$ yields $\mathrm{N}_{2}$ gas when heated to $300^{\circ} \mathrm{C},$ a reaction used in automobile air bags. If 1.00 $\mathrm{mol}$ of $\mathrm{N}_{2}$ has a volume of 47.0 $\mathrm{L}$ under the reaction conditions, how many liters of gas can be formed by heating 38.5 $\mathrm{g}$ of $\mathrm{NaN}_{3} ?$ The reaction is $$2 \mathrm{NaN}_{3} \longrightarrow 3 \mathrm{N}_{2}(g)+2 \mathrm{Na}$$

Sodium azide (NaN $_{3} )$ yields $\mathrm{N}_{2}$ gas when heated to $300^{\circ} \mathrm{C},$ a reaction used in automobile air bags. If 1.00 $\mathrm{mol}$ of $\mathrm{N}_{2}$ has a volume of 47.0 $\mathrm{L}$ under the reaction conditions, how many liters of gas can be formed by heating 38.5 $\mathrm{g}$ of $\mathrm{NaN}_{3} ?$ The reaction is
$$2 \mathrm{NaN}_{3} \longrightarrow 3 \mathrm{N}_{2}(g)+2 \mathrm{Na}$$

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Key Concepts

Stoichiometry

Stoichiometry involves using the mole ratios from a balanced chemical equation to relate the amounts of reactants and products. It enables one to predict the amount of a particular product formed from a given quantity of a reactant based on the proportions indicated by the balanced equation.

Mole Concept and Molar Mass

The mole concept is a way to count particles by relating the mass of a substance to its number of entities using its molar mass. By converting a given mass to moles using the substance's molar mass, one can then apply stoichiometric ratios to determine the amount of products or reactants involved in a reaction.

Molar Volume in Gas Laws

Molar volume refers to the volume occupied by one mole of a gas under specific conditions of temperature and pressure. Under these conditions, the given volume per mole of gas allows for a direct conversion from moles (calculated via stoichiometry) to the volume of gas produced, making it a crucial concept for quantifying gases in chemical reactions.

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