`Fe(OH)_(3)` can be separated from `Al(OH)_3` by addition of:

Options

A. `BaCl_(2)`
B. Dil. HCl
C. NaOH solution
D. `NH_(4)Cl` & `NH_(4)OH`

Explanation

To separate Fe(OH)₃ (ferric hydroxide) from Al(OH)₃ (aluminum hydroxide), we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Compounds**:
- Ferric hydroxide, Fe(OH)₃, is a precipitate that is not soluble in excess bases.
- Aluminum hydroxide, Al(OH)₃, is amphoteric, meaning it can react with both acids and bases.

2. **Choosing the Right Reagent**:
- We need to find a reagent that will selectively react with aluminum hydroxide but not with ferric hydroxide. Sodium hydroxide (NaOH) is a strong base that can dissolve aluminum hydroxide in excess.

3. **Adding Sodium Hydroxide (NaOH)**:
- When NaOH is added to the mixture of Fe(OH)₃ and Al(OH)₃, the aluminum hydroxide reacts with NaOH to form sodium aluminate (NaAl(OH)₄) and water:
\[ \text{Al(OH)}_3 + \text{NaOH} \rightarrow \text{NaAl(OH)}_4 + \text{H}_2\text{O} \]
- Ferric hydroxide, however, remains insoluble and does not react with NaOH.

4. **Filtration**:
- After the reaction, the solution will contain dissolved sodium aluminate and undissolved ferric hydroxide.
- The mixture can be filtered to separate the solid ferric hydroxide (Fe(OH)₃) from the solution containing sodium aluminate.

5. **Conclusion**:
- The addition of sodium hydroxide solution allows for the separation of ferric hydroxide from aluminum hydroxide effectively.

### Final Answer:
Fe(OH)₃ can be separated from Al(OH)₃ by the addition of sodium hydroxide solution (NaOH).