Which of the following statements is correct regarding the structure of `PCl_(5)` ?

Options

A. Three P - Cl bonds lie in one plane and two P - Cl bonds lie above and below the equatorial plane.
B. Five P- Cl bonds lie is the same plane.
C. The bond angle in all P - Cl bonds is `90^(@)`.
D. The bond length of all P - Cl bonds is same .

Explanation

To determine the correct statement regarding the structure of \( PCl_5 \), we can analyze the molecular geometry and bonding characteristics of the compound.

### Step-by-Step Solution:

1. **Identify the Valence Electrons**:
- Phosphorus (P) has 5 valence electrons. Each chlorine (Cl) atom has 7 valence electrons. In \( PCl_5 \), phosphorus shares its 5 valence electrons with 5 chlorine atoms.

2. **Draw the Lewis Structure**:
- In the Lewis structure, phosphorus is at the center with five chlorine atoms surrounding it. Each chlorine atom forms a single bond with phosphorus, and each chlorine has three lone pairs of electrons.

3. **Determine the Molecular Geometry**:
- According to the VSEPR (Valence Shell Electron Pair Repulsion) theory, the arrangement of the bonded atoms around the phosphorus atom minimizes electron pair repulsion. For \( PCl_5 \), the geometry is trigonal bipyramidal.

4. **Identify Axial and Equatorial Positions**:
- In a trigonal bipyramidal structure, there are two axial positions (180 degrees apart) and three equatorial positions (120 degrees apart). The axial bonds are the ones that lie above and below the equatorial plane, while the equatorial bonds lie in the same plane.

5. **Analyze the Bond Angles**:
- The bond angles in \( PCl_5 \) are not all 90 degrees. The axial bonds have a bond angle of 90 degrees with the equatorial bonds, but the equatorial bonds themselves are at 120 degrees to each other.

6. **Compare Bond Lengths**:
- The bond lengths of the axial \( P-Cl \) bonds are typically longer than those of the equatorial \( P-Cl \) bonds due to increased repulsion in the axial positions.

7. **Evaluate the Given Options**:
- Now, we can evaluate the options provided in the question:
- **Option A**: "3 PCl bonds lie in one plane and 2 PCl bonds lie above and below the equatorial plane." - This is correct.
- **Option B**: "All 5 PCl bonds lie in the same plane." - This is incorrect.
- **Option C**: "The bond angle in all PCl bonds is 90 degrees." - This is incorrect.
- **Option D**: "The bond length of all PCl bonds is the same." - This is incorrect.

### Conclusion:
The correct statement regarding the structure of \( PCl_5 \) is **Option A**: "3 PCl bonds lie in one plane and 2 PCl bonds lie above and below the equatorial plane."