Bornite (Cu3 Fe S3) is a copper ore used in the production...

Bornite $\left(\mathrm{Cu}_{3} \mathrm{Fe} \mathrm{S}_{3}\right)$ is a copper ore used in the production of copper. When heated, the following reaction occurs: $$ 2 \mathrm{Cu}_{3} \mathrm{FeS}_{3}(s)+7 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{Cu}(s)+2 \mathrm{FeO}(s)+6 \mathrm{SO}_{2}(g) $$ If 2.50 metric tons of bornite is reacted with excess $\mathrm{O}_{2}$ and the process has an 86.3$\%$ yield of copper, what mass of copper is produced?

Bornite $\left(\mathrm{Cu}_{3} \mathrm{Fe} \mathrm{S}_{3}\right)$ is a copper ore used in the production of copper. When heated, the following reaction occurs:
$$
2 \mathrm{Cu}_{3} \mathrm{FeS}_{3}(s)+7 \mathrm{O}_{2}(g) \longrightarrow 6 \mathrm{Cu}(s)+2 \mathrm{FeO}(s)+6 \mathrm{SO}_{2}(g)
$$
If 2.50 metric tons of bornite is reacted with excess $\mathrm{O}_{2}$ and the process has an 86.3$\%$ yield of copper, what mass of copper is produced?

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Key Concepts

Molar Mass and Mass-to-Mole Conversions

Molar mass is the mass of one mole of a substance, and it is fundamental for converting between mass and moles in chemical calculations. Using the molar mass of bornite, one can convert the given mass (2.50 metric tons) to moles, and then apply the stoichiometric ratios from the balanced equation to find the moles (and eventually mass) of copper produced.

Percent Yield

Percent yield is a measure of the efficiency of a chemical reaction, calculated as the ratio of the actual yield to the theoretical yield multiplied by 100%. This concept accounts for losses in a reaction, and it is used here to adjust the calculated mass of copper to reflect an 86.3% yield rather than a perfect (100%) yield.

Stoichiometry in Chemical Reactions

Stoichiometry involves using a balanced chemical equation to determine the relationships between reactants and products through their mole ratios. In this context, the reaction equation indicates how many moles of copper are generated per mole of the ore (bornite) reacted, enabling the determination of product amounts from a given amount of reactant.

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