STATEMENT-1: The `[Ni(en)_(3)]Cl_(2)` has higher stability than `[Ni(NH_(3))_(6)]Cl_(2)`
and
STATEMENT-2: Ethylene diamine shows chelation with `Ni^(+2)` ion .

Options

A. Statement-1 is True , Statement-2 is True , Statement-2 is a correct explanation for Statement-1
B. Statement-1 is True , Statement-2 is True , Statement-2 is NOT a correct explanation for Statement-1
C. Statement-1 is True , Statement-2 is False
D. Statement-1 is False , Statement-2 is True

Answer

To solve the question, we need to analyze both statements provided and determine their truthfulness and interrelation.

### Step 1: Analyze Statement 1
**Statement 1:** The complex \([Ni(en)_{3}]Cl_{2}\) has higher stability than \([Ni(NH_{3})_{6}]Cl_{2}\).

- **Explanation:**
- The complex \([Ni(en)_{3}]Cl_{2}\) contains ethylene diamine (en) as a ligand. Ethylene diamine is a bidentate ligand, meaning it can form two bonds with the nickel ion, creating a more stable chelate complex.
- In contrast, \([Ni(NH_{3})_{6}]Cl_{2}\) contains ammonia (NH3), which is a monodentate ligand, forming only one bond with the nickel ion. This results in a less stable complex compared to the one with bidentate ligands.

Thus, Statement 1 is **True**.

### Step 2: Analyze Statement 2
**Statement 2:** Ethylene diamine shows chelation with \(Ni^{2+}\) ion.

- **Explanation:**
- Ethylene diamine (en) is indeed a chelating ligand, which means it can bind to a metal ion at multiple points. In the case of \(Ni^{2+}\), ethylene diamine can form a stable ring structure by coordinating through its two nitrogen atoms.

Thus, Statement 2 is also **True**.

### Step 3: Determine the Relationship Between Statements
Now we need to check if Statement 2 provides a correct explanation for Statement 1.

- Since Statement 1 states that \([Ni(en)_{3}]Cl_{2}\) is more stable due to the presence of the bidentate ligand ethylene diamine, and Statement 2 confirms that ethylene diamine can chelate with \(Ni^{2+}\), it logically follows that the chelation effect contributes to the increased stability of the complex.

### Conclusion
Both statements are true, and Statement 2 correctly explains Statement 1.

The correct answer is **Option A**: Statement 1 is true, Statement 2 is true, and Statement 2 is the correct explanation for Statement 1.

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