Which of the following equation is wrong with respect to the equations given here?

Options

A. `Psi_(s)=-pi`
B. DPD=-OP+TP
C. `Psi_(W)=Psi_(S)+Psi_(P)`
D. `Psi_(W)=-DPD`

Answer

To determine which equation is incorrect with respect to the topic of transport in plants, particularly concerning osmotic potential and related concepts, we will analyze the provided statements step by step.

### Step-by-Step Solution:

1. **Understanding Osmotic Potential**:
- Osmotic potential (π) is a measure of the tendency of water to move into a solution due to the presence of solute. It is typically represented as a negative value, as pure water has an osmotic potential of zero.

2. **Solute Potential Relationship**:
- The solute potential (Ψs) is defined as the negative of the osmotic potential. Therefore, the equation Ψs = -π is correct. This indicates that as solute concentration increases, the solute potential becomes more negative.

3. **Diffusion Pressure Deficit (DPD)**:
- DPD is defined as the difference between the osmotic potential and the turgor pressure (P). The correct equation for DPD is given by:
\[ DPD = π - P \]
- If this equation is stated incorrectly, it would be the first indication of an error.

4. **Osmotic Potential of Water**:
- The osmotic potential of water is indeed equal to the osmotic potential of the solute plus the osmotic pressure. This can be expressed as:
\[ π_water = π_solute + P \]
- This statement is correct.

5. **Negative of Diffusion Pressure Deficit**:
- The statement that the osmotic potential of water is the negative of the diffusion pressure deficit can be expressed as:
\[ π_water = -DPD \]
- This is also a correct relationship.

### Conclusion:
From the analysis, the incorrect statement is related to the definition of diffusion pressure deficit. The correct equation for DPD is:
\[ DPD = π - P \]
If any statement contradicts this, it would be considered wrong.

### Final Answer:
The incorrect equation is the one that misrepresents the relationship of diffusion pressure deficit (DPD).