Arrange the following in ascending order based on their solute concentration `{:("Cell","Water Potential (KPa)","Pressure Potential(KPa)"),((a),-590,320),((b),-368,623),((c),-292,412),((d),-481,146):}`

Options

A. c, a, d, b
B. d, c, a, b
C. a, c, b, d
D. b, a, c, d

Answer

To solve the problem of arranging the cells based on their solute concentration, we need to calculate the water potential for each cell using the formula:

\[ \text{Water Potential} (\Psi) = \text{Pressure Potential} (P) + \text{Solute Potential} (\Pi) \]

Given the data:

1. **Cell A**:
- Solute Potential (\(\Pi\)) = -590 KPa
- Pressure Potential (P) = 320 KPa

2. **Cell B**:
- Solute Potential (\(\Pi\)) = -368 KPa
- Pressure Potential (P) = 623 KPa

3. **Cell C**:
- Solute Potential (\(\Pi\)) = -292 KPa
- Pressure Potential (P) = 412 KPa

4. **Cell D**:
- Solute Potential (\(\Pi\)) = -481 KPa
- Pressure Potential (P) = 146 KPa

### Step-by-Step Calculation:

**Step 1: Calculate Water Potential for Each Cell**

- **Cell A**:
\[ \Psi_A = P + \Pi = 320 + (-590) = 320 - 590 = -270 \text{ KPa} \]

- **Cell B**:
\[ \Psi_B = P + \Pi = 623 + (-368) = 623 - 368 = 255 \text{ KPa} \]

- **Cell C**:
\[ \Psi_C = P + \Pi = 412 + (-292) = 412 - 292 = 120 \text{ KPa} \]

- **Cell D**:
\[ \Psi_D = P + \Pi = 146 + (-481) = 146 - 481 = -335 \text{ KPa} \]

**Step 2: List Water Potential Values**

- \(\Psi_A = -270 \text{ KPa}\)
- \(\Psi_B = 255 \text{ KPa}\)
- \(\Psi_C = 120 \text{ KPa}\)
- \(\Psi_D = -335 \text{ KPa}\)

**Step 3: Arrange in Ascending Order**

To arrange these values in ascending order, we look for the most negative value to the least negative (or positive):

1. \(\Psi_D = -335 \text{ KPa}\)
2. \(\Psi_A = -270 \text{ KPa}\)
3. \(\Psi_C = 120 \text{ KPa}\)
4. \(\Psi_B = 255 \text{ KPa}\)

### Final Arrangement Based on Solute Concentration

The ascending order based on their water potential is:

1. Cell D
2. Cell A
3. Cell C
4. Cell B