Ammonium nitrate, a potential ingredient of terrorist bombs,...

Ammonium nitrate, a potential ingredient of terrorist bombs, can be made nonexplosive by addition of diammonium hydrogen phosphate, $\left(\mathrm{NH}_{4}\right)_{2} \mathrm{HPO}_{4}$ . Analysis of such a $\mathrm{NH}_{4} \mathrm{NO}_{3}-\left(\mathrm{NH}_{4}\right)_{2} \mathrm{HPO}_{4}$ mixture showed the mass percent of nitrogen to be 30.43$\%$ . What is the mass ratio of the two components in the mixture?

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Key Concepts

System of Equations in Chemical Analysis

When analyzing mixtures, it is often necessary to set up and solve a system of equations that relate the mass contributions of each component to the overall observed composition. This method allows one to mathematically deduce the mass ratios or amounts of each substance in the mixture based on known elemental percentages or other analytical data.

Mass Percent Composition

This concept refers to the percentage of a specific element’s mass relative to the total mass of a compound or mixture. It is calculated by dividing the mass of the element by the total mass and multiplying by 100, and it is a fundamental technique in chemical analysis for determining the composition of substances.

Mixture Problems in Stoichiometry

Mixture problems involve determining the proportions or ratios of different compounds in a mix when given information such as overall composition percentages. In stoichiometry, these problems require setting up relationships between the masses of individual components and the overall mixture to determine the required ratios or quantities.

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