Ammonium nitrate decomposes explosively upon heating...

Ammonium nitrate decomposes explosively upon heating according to the balanced equation: $$ 2 \mathrm{NH}_{4} \mathrm{NO}_{3}(s) \longrightarrow 2 \mathrm{~N}_{2}(g)+\mathrm{O}_{2}(g)+4 \mathrm{H}_{2} \mathrm{O}(g) $$ Calculate the total volume of gas (at $25^{\circ} \mathrm{C}$ and $\left.748 \mathrm{~mm} \mathrm{Hg}\right)$ produced by the complete decomposition of $1.55 \mathrm{~kg}$ of ammonium nitrate

Ammonium nitrate decomposes explosively upon heating according to the balanced equation:
$$
2 \mathrm{NH}_{4} \mathrm{NO}_{3}(s) \longrightarrow 2 \mathrm{~N}_{2}(g)+\mathrm{O}_{2}(g)+4 \mathrm{H}_{2} \mathrm{O}(g)
$$
Calculate the total volume of gas (at $25^{\circ} \mathrm{C}$ and $\left.748 \mathrm{~mm} \mathrm{Hg}\right)$ produced by the complete decomposition of $1.55 \mathrm{~kg}$ of ammonium nitrate

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Key Concepts

Stoichiometry

Stoichiometry involves using a balanced chemical equation to determine the proportional relationships between reactants and products. In a reaction, the coefficients indicate the moles of each substance that participate, allowing you to calculate how much product can be formed from a given amount of reactant.

Moles and Molar Mass

This concept deals with converting a given mass of a substance into moles by using its molar mass. The mole, a fundamental unit in chemistry, is used to bridge the gap between the mass of a chemical and its amount, enabling stoichiometric calculations within chemical reactions.

Ideal Gas Law

The Ideal Gas Law (PV = nRT) is a key principle that relates the pressure, volume, temperature, and number of moles of a gas. This law allows one to calculate the volume of gas produced under specific conditions once the number of moles of gas is known, by incorporating the appropriate unit conversions and constants.

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