Assertion : `Al_(2)O_(3)` is converted into Al by reduction with carbon at high temp.
Reason : Carbon has greater affinity for oxygen than aluminium.

Options

A. If both assetion and reason are CORRECT, and reason is the CORRECT explanation of the assertion
B. If both assertion and reason are CORRECT, but reason is NOT the CORRECT explanation of the assertion
C. If assertion is CORRECT but reason is INCORRECT
D. If assertion is INCORRECT but reason is CORRECT

Answer

To solve the question, we need to analyze both the assertion and the reason provided.

### Step 1: Analyze the Assertion
The assertion states that \( Al_2O_3 \) is converted into Al by reduction with carbon at high temperature.

- **Understanding the Process**:
- The reduction of aluminum oxide (\( Al_2O_3 \)) involves removing oxygen from the compound to obtain aluminum (Al).
- This reaction typically occurs at high temperatures, where carbon can act as a reducing agent.

### Step 2: Write the Reaction
The chemical reaction can be represented as:
\[ Al_2O_3 + 3C \rightarrow 2Al + 3CO_2 \]

- **Conclusion from Step 1**: The assertion is indeed correct as aluminum can be extracted from aluminum oxide using carbon at high temperatures.

### Step 3: Analyze the Reason
The reason states that carbon has a greater affinity for oxygen than aluminum.

- **Understanding Affinity**:
- Affinity for oxygen refers to how readily an element will react with oxygen.
- In this case, while it is true that carbon can react with oxygen to form carbon dioxide, the statement implies that carbon's affinity for oxygen is the reason for the reduction of aluminum oxide.

### Step 4: Evaluate the Reason
- **Correctness of the Reason**:
- Although carbon does have a greater affinity for oxygen than aluminum, this does not directly explain why \( Al_2O_3 \) can be reduced to aluminum using carbon. The reduction process is more about the ability of carbon to donate electrons and reduce the aluminum ions rather than just its affinity for oxygen.

### Conclusion
- **Final Evaluation**:
- The assertion is correct: \( Al_2O_3 \) can be reduced to Al using carbon.
- The reason is not a correct explanation of the assertion, as it does not accurately describe the mechanism of the reduction process.

### Final Answer
The correct option is **C**: The assertion is correct but the reason is incorrect.

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