Write down the reactions taking place in Blast furnace related to the metallurgy of iron in the temperature range `500-800K`

Options

A. `FeO + CO to Fe + CO_(2)`
B. `3Fe_(2) O_(3) + CO to 2Fe_(3)O_(4) + 4CO_(2)`
C. `Fe_(3)O_(4) + 4CO to 3Fe+ 4CO_(2)`
D. `Fe_(2)O_(3) + CO to 2FeO + CO_(2)`

Explanation

To answer the question regarding the reactions taking place in a blast furnace related to the metallurgy of iron in the temperature range of 500-800 K, we can outline the relevant chemical reactions as follows:

### Step-by-Step Solution:

1. **Understanding the Context**: In the blast furnace, iron oxides are reduced to iron using carbon monoxide (CO) as a reducing agent. The reactions that occur depend on the temperature.

2. **Identifying Relevant Reactions**: At temperatures between 500 K and 800 K, the following reactions are significant:
- The reduction of iron(III) oxide (Fe2O3) to iron(II,III) oxide (Fe3O4).
- The reduction of iron(II,III) oxide (Fe3O4) to iron (Fe).

3. **Writing the Reactions**:
- **Reaction 1**:
\[ 3 \text{Fe}_2\text{O}_3 + 4 \text{CO} \rightarrow 2 \text{Fe}_3\text{O}_4 + 4 \text{CO}_2 \]
This reaction shows the reduction of Fe2O3 to Fe3O4 using carbon monoxide.

- **Reaction 2**:
\[ \text{Fe}_3\text{O}_4 + 4 \text{CO} \rightarrow 3 \text{Fe} + 4 \text{CO}_2 \]
This reaction illustrates the reduction of Fe3O4 to iron using carbon monoxide.

4. **Noting the Inactive Reaction**: It is important to note that the reduction of iron(II) oxide (FeO) does not occur in this temperature range. Therefore, the reaction involving FeO and CO is not considered.

5. **Conclusion**: The reactions that take place in the blast furnace at temperatures between 500 K and 800 K are primarily the reduction of Fe2O3 to Fe3O4 and Fe3O4 to Fe, facilitated by carbon monoxide.

### Summary of Reactions:
- \( 3 \text{Fe}_2\text{O}_3 + 4 \text{CO} \rightarrow 2 \text{Fe}_3\text{O}_4 + 4 \text{CO}_2 \)
- \( \text{Fe}_3\text{O}_4 + 4 \text{CO} \rightarrow 3 \text{Fe} + 4 \text{CO}_2 \)