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 \( PX_3Y_2 \) in terms of their molecular geometry and dipole moments after replacing all 'X' atoms with 'Z' atoms, given the electronegativity order \( X > Y > Z \).

### Step 1: Analyze the structure of \( PX_2Y_3 \)

1. **Identify the arrangement**: In \( PX_2Y_3 \), phosphorus (P) is the central atom. Given that \( X \) has a higher electronegativity than \( Y \), the \( X \) atoms will occupy the axial positions to minimize repulsion.

2. **Determine the molecular geometry**: The geometry of \( PX_2Y_3 \) is trigonal bipyramidal, with \( X \) atoms in axial positions and \( Y \) atoms in equatorial positions.

3. **Evaluate the dipole moment**: The dipole moments of the \( X \) atoms will cancel each other out due to symmetry, and the dipole moments of the \( Y \) atoms will also cancel each other out. Therefore, the overall dipole moment of \( PX_2Y_3 \) is zero.

### Step 2: Replace \( X \) with \( Z \) in \( PX_2Y_3 \)

1. **New compound**: After replacing \( X \) with \( Z \), we get \( PZ_2Y_3 \).

2. **Re-evaluate the arrangement**: Since \( Z \) has a lower electronegativity than \( Y \), \( Z \) atoms will occupy the equatorial positions, and \( Y \) atoms will occupy the axial positions.

3. **Determine the dipole moment**: The dipole moments of the \( Y \) atoms will not cancel out, as they are in the axial positions. Therefore, the dipole moment of \( PZ_2Y_3 \) is non-zero.

### Step 3: Analyze the structure of \( PX_3Y_2 \)

1. **Identify the arrangement**: In \( PX_3Y_2 \), \( X \) atoms will again occupy the axial positions due to their higher electronegativity compared to \( Y \).

2. **Determine the molecular geometry**: The geometry remains trigonal bipyramidal, with \( X \) in axial positions and \( Y \) in equatorial positions.

3. **Evaluate the dipole moment**: Similar to the previous case, the dipole moments of the \( X \) atoms will cancel each other out, but the \( Y \) atoms will create a net dipole moment. Thus, the overall dipole moment of \( PX_3Y_2 \) is non-zero.

### Step 4: Replace \( X \) with \( Z \) in \( PX_3Y_2 \)

1. **New compound**: After replacing \( X \) with \( Z \), we get \( PZ_3Y_2 \).

2. **Re-evaluate the arrangement**: The \( Z \) atoms will occupy the equatorial positions, while the \( Y \) atoms will occupy the axial positions.

3. **Determine the dipole moment**: The dipole moments of the \( Y \) atoms will not cancel out, leading to a non-zero dipole moment for \( PZ_3Y_2 \).

### Conclusion

Based on the analysis, the incorrect statements regarding the dipole moments of the compounds after replacing \( X \) with \( Z \) are:

- The dipole moment of \( PZ_2Y_3 \) is non-zero (this is incorrect as it should be zero).
- The dipole moment of \( PZ_3Y_2 \) is zero (this is incorrect as it should be non-zero).