Given below are the different temperature reactions and products during extraction of iron in blast furnace.
P. 900 K `" "1. " "Fe_(2)O_(3) + 3C to 2Fe + 3CO`
Q. 1200 K `" "2." "CaCO_(3) to CaO + CO_(2)`
R. 1500 K `" "3." " 2C + O_(2) to 2CO`
S. 2000 K `" "4. " "Fe_(2)O_(3) +3CO to 2Fe+ 3CO_(2)`
Find the correct match.

Options

A. P-4,Q-2,R-3,S-1
B. P-4,Q-3,R-2,S-1
C. P-3,Q-4,R-1,S-2
D. P-4,Q-2,R-1,S-3

Answer

To solve the question regarding the extraction of iron in a blast furnace and to match the reactions with their corresponding temperatures, we will analyze each reaction step by step.

### Step 1: Identify the reactions and their corresponding temperatures
1. **At 900 K**: The reaction is:
\[ \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2 \]
This reaction indicates that iron(III) oxide reacts with carbon monoxide to produce iron and carbon dioxide.

2. **At 1200 K**: The reaction is:
\[ \text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2 \]
This reaction shows the thermal decomposition of calcium carbonate into calcium oxide and carbon dioxide.

3. **At 1500 K**: The reaction is:
\[ 2\text{C} + \text{O}_2 \rightarrow 2\text{CO} \]
This reaction indicates that carbon reacts with oxygen to produce carbon monoxide.

4. **At 2000 K**: The reaction is:
\[ \text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2 \]
This reaction is the reverse of the first one, where iron(III) oxide reacts with carbon monoxide to produce iron and carbon dioxide.

### Step 2: Match the reactions with their corresponding temperatures
- **P (900 K)**: Matches with reaction 4, which is \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\).
- **Q (1200 K)**: Matches with reaction 2, which is \(\text{CaCO}_3 \rightarrow \text{CaO} + \text{CO}_2\).
- **R (1500 K)**: Matches with reaction 1, which is \(2\text{C} + \text{O}_2 \rightarrow 2\text{CO}\).
- **S (2000 K)**: Matches with reaction 3, which is \(\text{Fe}_2\text{O}_3 + 3\text{CO} \rightarrow 2\text{Fe} + 3\text{CO}_2\).

### Final Matching:
- **P**: 4
- **Q**: 2
- **R**: 1
- **S**: 3

### Conclusion:
Thus, the correct matches are:
- P → 4
- Q → 2
- R → 1
- S → 3