A:Carbon is used in blast furnace for reuction of `Fe_2O_3`
B:This process is called smelting.

Options

A. If both Assertion & Reason are true and the reason is the correct explanation of the assertion, then mark (1).
B. If both Assertion & Reason are true but the reason is not the correct explanation of the assertion, then mark (2)
C. If Assertion is true statement but Reason is false, then mark
D. If both Assertion and Reason are false statements, then mark (4)

Answer

### Step-by-Step Solution:

1. **Understanding the Reaction**: The first statement mentions that carbon is used in a blast furnace for the reduction of `Fe2O3`. Here, `Fe2O3` is iron(III) oxide, commonly known as hematite. The reduction process involves converting the oxide into its elemental form, which in this case is iron (Fe).

2. **Reduction Process**: In the blast furnace, carbon (often in the form of coke) is used as a reducing agent. The carbon reacts with the oxygen in the iron oxide to produce carbon dioxide (CO2) and iron (Fe). The chemical reaction can be represented as:
\[ Fe_2O_3 + 3C \rightarrow 2Fe + 3CO_2 \]

3. **Defining Smelting**: The second statement asserts that this process is called smelting. Smelting is a metallurgical process that involves the extraction of metals from their ores by heating and melting. In this context, the reduction of iron oxide using carbon is indeed classified as smelting.

4. **Conclusion**: Both statements A and B are correct. Carbon is used in the blast furnace for the reduction of `Fe2O3`, and this process is referred to as smelting.

### Final Answer:
- **A**: True - Carbon is used in the blast furnace for the reduction of `Fe2O3`.
- **B**: True - This process is called smelting.

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