Which of the following compounds is/are partially soluble or insoluble in `NH_(4)OH` solution:
(1) `Fe(OH)_(3)`
(2) `Ag_(2)CrO_(4)`
(3) `Al(OH)_(3)`
(4) `Ag_(2)CO_(3)`
(5) `Ni(OH)_(2)`

Options

A. 1,3,5
B. 2,3,4
C. 1,3
D. 2,3,5

Answer

To determine which of the given compounds are partially soluble or insoluble in ammonium hydroxide (NH₄OH) solution, we will analyze each compound one by one.

### Step 1: Analyze `Fe(OH)₃`
- **Reaction with NH₄OH**: Ferric hydroxide (Fe(OH)₃) is formed when Fe³⁺ ions react with NH₄OH.
- **Solubility**: Fe(OH)₃ is known to be insoluble in NH₄OH. It precipitates as a brown solid.

**Conclusion**: `Fe(OH)₃` is insoluble in NH₄OH.

### Step 2: Analyze `Ag₂CrO₄`
- **Reaction with NH₄OH**: Silver chromate (Ag₂CrO₄) does not react significantly with NH₄OH.
- **Solubility**: It is generally considered to be soluble in ammonium hydroxide due to the formation of complex ions.

**Conclusion**: `Ag₂CrO₄` is soluble in NH₄OH.

### Step 3: Analyze `Al(OH)₃`
- **Reaction with NH₄OH**: Aluminum hydroxide (Al(OH)₃) is formed when Al³⁺ ions react with NH₄OH.
- **Solubility**: Al(OH)₃ is known to be partially soluble in NH₄OH, forming soluble aluminate ions.

**Conclusion**: `Al(OH)₃` is partially soluble in NH₄OH.

### Step 4: Analyze `Ag₂CO₃`
- **Reaction with NH₄OH**: Silver carbonate (Ag₂CO₃) does not react significantly with NH₄OH.
- **Solubility**: It is generally considered to be soluble in ammonium hydroxide.

**Conclusion**: `Ag₂CO₃` is soluble in NH₄OH.

### Step 5: Analyze `Ni(OH)₂`
- **Reaction with NH₄OH**: Nickel hydroxide (Ni(OH)₂) is formed when Ni²⁺ ions react with NH₄OH.
- **Solubility**: Ni(OH)₂ is known to be insoluble in NH₄OH.

**Conclusion**: `Ni(OH)₂` is insoluble in NH₄OH.

### Final Summary
Based on the analysis:
- `Fe(OH)₃` - Insoluble
- `Ag₂CrO₄` - Soluble
- `Al(OH)₃` - Partially soluble
- `Ag₂CO₃` - Soluble
- `Ni(OH)₂` - Insoluble

### Answer
The compounds that are partially soluble or insoluble in NH₄OH solution are:
1. `Fe(OH)₃`
2. `Al(OH)₃`
3. `Ni(OH)₂`

Thus, the correct options are (1) and (3).