In iron production

CHEMISTRY · Multi-part · A Level · Chemistry · Amount of substance · Amount of substance

Problem

In iron production, iron(III) oxide is reduced with carbon according to the equation 2 Fe2O3(s)+3 C(s)→4 Fe(l)+3 CO2(g)2\,\text{Fe}_2\text{O}_3 (s) + 3\,\text{C} (s) \rightarrow 4\,\text{Fe} (l) + 3\,\text{CO}_2 (g) A blast furnace charge contains 75.0 kg75.0\,\text{kg} of Fe2O3\text{Fe}_2\text{O}_3 and 18.0 kg18.0\,\text{kg} of carbon. The furnace operates at conditions where all reactants and products remain in the condensed or gaseous phases indicated. (a) Identify the limiting reactant for this charge, justifying your choice with quantitative reasoning. (b) Calculate the mass of liquid iron that can be produced when the reaction goes to completion. (c) Determine the mass of the excess reactant remaining after the reaction has finished. (d) Compute the mass ratio mass of CO2mass of Fe\dfrac{\text{mass of }\text{CO}_2}{\text{mass of Fe}} generated in the furnace under these conditions.

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