Question

Write balanced chemical equations for the reduction of \(\mathrm{FeO}\) and \(\mathrm{Fe}_{2} \mathrm{O}_{3}\) by \(\mathrm{H}_{2}\) and by \(\mathrm{CO}\).

Short answer

The balanced chemical equations for the reduction of FeO and Fe2O3 by H2 and CO are as follows: 1. Reduction of FeO by H2: \(FeO + H_2 \rightarrow Fe + H_2O\) 2. Reduction of FeO by CO: \(FeO + CO \rightarrow Fe + CO_2\) 3. Reduction of Fe2O3 by H2: \(Fe_2O_3 + 3H_2 \rightarrow 2Fe + 3H_2O\) 4. Reduction of Fe2O3 by CO: \(Fe_2O_3 + 3CO \rightarrow 2Fe + 3CO_2\)

Step-by-step solution

Reduction of FeO by H2

To balance the reduction of FeO by H2, follow these steps: 1. Write the unbalanced equation: FeO + H2 → Fe + H2O 2. Count the number of atoms for each element: Fe (1), O (1), H (2) 3. Balance the equation: FeO + H2 → Fe + H2O (The equation is already balanced) So, the balanced equation for the reduction of FeO by H2 is: \(FeO + H_2 \rightarrow Fe + H_2O\)

Reduction of FeO by CO

To balance the reduction of FeO by CO, follow these steps: 1. Write the unbalanced equation: FeO + CO → Fe + CO2 2. Count the number of atoms for each element: Fe (1), O (2), C (1) 3. Balance the equation: FeO + CO → Fe + CO2 (The equation is already balanced) So, the balanced equation for the reduction of FeO by CO is: \(FeO + CO \rightarrow Fe + CO_2\) Now, we'll balance the equations for the reduction of Fe2O3 by H2 and CO.

Reduction of Fe2O3 by H2

To balance the reduction of Fe2O3 by H2, follow these steps: 1. Write the unbalanced equation: Fe2O3 + H2 → Fe + H2O 2. Count the number of atoms for each element: Fe (2), O (3), H (2) 3. Balance the equation: - Balance the Fe atoms: Fe2O3 + H2 → 2Fe + H2O - Balance the H and O atoms: Fe2O3 + 3H2 → 2Fe + 3H2O So, the balanced equation for the reduction of Fe2O3 by H2 is: \(Fe_2O_3 + 3H_2 \rightarrow 2Fe + 3H_2O\)

Reduction of Fe2O3 by CO

To balance the reduction of Fe2O3 by CO, follow these steps: 1. Write the unbalanced equation: Fe2O3 + CO → Fe + CO2 2. Count the number of atoms for each element: Fe (2), O (4), C (1) 3. Balance the equation: - Balance the Fe atoms: Fe2O3 + CO → 2Fe + CO2 - Balance the C atoms: Fe2O3 + 3CO → 2Fe + 3CO2 (the O atoms are now balanced as well) So, the balanced equation for the reduction of Fe2O3 by CO is: \(Fe_2O_3 + 3CO \rightarrow 2Fe + 3CO_2\)