Two compounds `PX_(2)Y_(3) and PX_(3)Y_(2)` (Where P=phosphorous atom and X, Y= monovalent atoms). If all 'X' atoms are replaced by 'Z' atoms and electronegativity order is `XgtYgtZ`. Then incorrect statement (s) is/are:

Options

A. The dipole moment of product obtained from `PX_(2)Y_(3)` is non-zero
B. The dipole moment of product obtained from `PX_(2)Y_(3)` is zero
C. The dipole moment of product obtained from `PX_(3)Y_(2)` is zero
D. The dipole moment of product obtained from `PX_(3)Y_(2)` is non-zero

Explanation

To solve the problem, we need to analyze the two compounds \( PX_2Y_3 \) and \( PX_3Y_2 \) and their behavior when all 'X' atoms are replaced by 'Z' atoms, given the electronegativity order \( X > Y > Z \).

### Step-by-Step Solution:

1. **Identify the Structure of \( PX_2Y_3 \)**:
- Phosphorus (P) is a pentavalent atom, which means it has 5 valence electrons. The structure of \( PX_2Y_3 \) will be trigonal bipyramidal.
- In this structure, the more electronegative atoms (X) will occupy the axial positions, and the less electronegative atoms (Y) will occupy the equatorial positions.
- Therefore, the arrangement will be:
- Axial: X, X
- Equatorial: Y, Y, Y

2. **Dipole Moment of \( PX_2Y_3 \)**:
- Since the two X atoms are at the axial positions and the three Y atoms are at the equatorial positions, the dipole moments of the X atoms will cancel out due to symmetry.
- Thus, the dipole moment \( \mu \) of \( PX_2Y_3 \) is **zero**.

3. **Replace X with Z in \( PX_2Y_3 \)**:
- When we replace all X atoms with Z, we get \( PZ_2Y_3 \).
- Given that \( Y \) is more electronegative than \( Z \), the structure will now have:
- Axial: Y, Y
- Equatorial: Z, Z, Z
- In this case, the dipole moments of the Y atoms will not cancel out, leading to a **non-zero dipole moment** for \( PZ_2Y_3 \).

4. **Identify the Structure of \( PX_3Y_2 \)**:
- For \( PX_3Y_2 \), the arrangement will be:
- Axial: X, X, X
- Equatorial: Y, Y
- Similar to the previous case, the dipole moments of the X atoms will cancel out, resulting in a dipole moment \( \mu \) of **zero**.

5. **Replace X with Z in \( PX_3Y_2 \)**:
- Replacing X with Z gives us \( PZ_3Y_2 \).
- The arrangement will be:
- Axial: Y, Y
- Equatorial: Z, Z, Z
- Here, the dipole moments of the Y atoms will not cancel out, leading to a **non-zero dipole moment** for \( PZ_3Y_2 \).

### Conclusion:
Now, let's evaluate the statements:

- **Statement A**: The dipole moment of the product obtained from \( PX_2Y_3 \) is non-zero. (Correct)
- **Statement B**: The dipole moment of the product obtained from \( PX_2Y_3 \) is zero. (Incorrect)
- **Statement C**: The dipole moment of the product obtained from \( PX_3Y_2 \) is zero. (Incorrect)
- **Statement D**: The dipole moment of the product obtained from \( PX_3Y_2 \) is non-zero. (Correct)

Thus, the **incorrect statements** are **B and C**.