Carbon reduction process is not commercially applicable for which of the following set to oxides to extract the respective metal ?
(I) `ZnO`
(II) `Fe_(2)O_(3)`
(III) `Al_(2)O_(3)`
(IV) `SnO_(2)`
(V) `MgO`.

Options

A. `ZnO,Fe_(2)O_(3),SnO_(2)`
B. `ZnO,SnO,MgO`
C. `MgO,Al_(2)O_(3)`
D. `MgO,SnO,Al_(2)O_(3)`

Explanation

To solve the question regarding which set of oxides cannot be commercially reduced using the carbon reduction process, we will analyze each oxide listed in the options.

### Step-by-Step Solution:

1. **Understanding Carbon Reduction Process**:
- The carbon reduction process is primarily used for the extraction of metals from their oxides by reducing them with carbon. This method is generally applicable to less electropositive metals.

2. **Analyzing Each Oxide**:
- **(I) ZnO**: Zinc is a less electropositive metal, and its oxide can be reduced by carbon. This process is commercially applicable.
- **(II) Fe₂O₃**: Iron is also a less electropositive metal, and its oxide can be reduced using carbon. This process is commercially applicable.
- **(III) Al₂O₃**: Aluminum is a highly electropositive metal. The reduction of aluminum oxide requires very high temperatures (around 2000°C) and is not economical to perform using carbon. Therefore, this process is not commercially applicable.
- **(IV) SnO₂**: Tin is a less electropositive metal, and its oxide can be reduced by carbon. This process is commercially applicable.
- **(V) MgO**: Magnesium is a highly electropositive metal. Similar to aluminum, the reduction of magnesium oxide requires extremely high temperatures (around 2000°C) and is not economical to perform using carbon. Therefore, this process is not commercially applicable.

3. **Conclusion**:
- Based on the analysis, the oxides for which the carbon reduction process is not commercially applicable are **Al₂O₃ (aluminum oxide)** and **MgO (magnesium oxide)**.

### Final Answer:
The answer to the question is **(III) Al₂O₃ and (V) MgO**.