Iron(III) oxide reacts with carbon to give iron and carbon...

Iron(III) oxide reacts with carbon to give iron and carbon monoxide. $$ \mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{C}(s) \longrightarrow 2 \mathrm{Fe}(s)+3 \mathrm{CO}(g) $$ a. How many grams of $\mathrm{C}$ are required to react with $16.5 \mathrm{~g}$ of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ ? b. How many grams of $\mathrm{CO}$ are produced when $36.0 \mathrm{~g}$ of $\mathrm{C}$ reacts? c. How many grams of Fe can be produced when $6.00 \mathrm{~g}$ of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ reacts?

Iron(III) oxide reacts with carbon to give iron and carbon monoxide.
$$
\mathrm{Fe}_{2} \mathrm{O}_{3}(s)+3 \mathrm{C}(s) \longrightarrow 2 \mathrm{Fe}(s)+3 \mathrm{CO}(g)
$$
a. How many grams of $\mathrm{C}$ are required to react with $16.5 \mathrm{~g}$ of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ ?
b. How many grams of $\mathrm{CO}$ are produced when $36.0 \mathrm{~g}$ of $\mathrm{C}$ reacts?
c. How many grams of Fe can be produced when $6.00 \mathrm{~g}$ of $\mathrm{Fe}_{2} \mathrm{O}_{3}$ reacts?

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Key Concepts

Stoichiometric Calculations

Stoichiometric calculations involve using the mole ratios from the balanced chemical equation and the concept of molar mass to determine the quantitative relationships between reactants and products. This process allows for the conversion of given masses of substances to the masses of other substances involved in the reaction.

Molar Mass

Molar mass is the mass of one mole of a substance, expressed typically in grams per mole. It is calculated by summing the atomic masses of the constituent elements in a compound and is a critical conversion factor in stoichiometric calculations.

Balanced Chemical Equation

A balanced chemical equation shows the exact mole ratio in which reactants combine and products form, ensuring that the number of atoms of each element is conserved. It provides the foundational relationships needed for quantitative analysis in chemical reactions.

Mole Concept

The mole concept provides a bridge between the microscale (atomic or molecular level) and the macroscale (measurable quantities), allowing chemists to count particles by converting between mass and number of moles using Avogadro's number.

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