Assuming 100% dissociation, calculate the freezing point and the boiling point of 0.570 mol K3PO4 in 1.00 kg water. You may need the colligative constants for water.

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Assuming 100% dissociation, calculate the freezing point and the boiling point of 0.570 mol K3PO4 in 1.00 kg water. You may need the colligative constants for water.

### Colligative Constants

Below are constants for freezing-point depression and boiling-point elevation calculations at 1 atm:

| Solvent          | Formula   | \( K_f \) Value* (\( °C/m \)) | Normal Freezing Point (°C) | \( K_b \) Value (\( °C/m \)) | Normal Boiling Point (°C) |
|------------------|-----------|-------------------------------|-----------------------------|------------------------------|---------------------------|
| Water            | H\(_2\)O  | 1.86                          | 0.00                        | 0.512                        | 100.00                    |
| Benzene          | C\(_6\)H\(_6\)  | 5.12                          | 5.49                        | 2.53                         | 80.1                     |
| Cyclohexane      | C\(_6\)H\(_12\) | 20.8                          | 6.59                        | 2.92                         | 80.7                     |
| Ethanol          | C\(_2\)H\(_6\)O  | 1.99                          | -117.3                      | 1.22                         | 78.4                     |
| Carbon Tetrachloride | CCl\(_4\)   | 29.8                          | -22.9                       | 5.03                         | 76.8                     |
| Camphor          | C\(_10\)H\(_16\)O | 37.8                          | 176                         | -                            | -                        |

**Explanation:**

- **\( K_f \) and \( K_b \) Values:** These are constants used to calculate the freezing-point depression and boiling-point elevation, respectively, for solutions.
- **Normal Freezing and Boiling Points:** These values indicate the temperatures at which the solvent will freeze or boil at 1 atmosphere of pressure.

Understanding these constants is essential for predicting how the presence of solutes will affect the physical properties of solutions.
Transcribed Image Text:### Colligative Constants Below are constants for freezing-point depression and boiling-point elevation calculations at 1 atm: | Solvent | Formula | \( K_f \) Value* (\( °C/m \)) | Normal Freezing Point (°C) | \( K_b \) Value (\( °C/m \)) | Normal Boiling Point (°C) | |------------------|-----------|-------------------------------|-----------------------------|------------------------------|---------------------------| | Water | H\(_2\)O | 1.86 | 0.00 | 0.512 | 100.00 | | Benzene | C\(_6\)H\(_6\) | 5.12 | 5.49 | 2.53 | 80.1 | | Cyclohexane | C\(_6\)H\(_12\) | 20.8 | 6.59 | 2.92 | 80.7 | | Ethanol | C\(_2\)H\(_6\)O | 1.99 | -117.3 | 1.22 | 78.4 | | Carbon Tetrachloride | CCl\(_4\) | 29.8 | -22.9 | 5.03 | 76.8 | | Camphor | C\(_10\)H\(_16\)O | 37.8 | 176 | - | - | **Explanation:** - **\( K_f \) and \( K_b \) Values:** These are constants used to calculate the freezing-point depression and boiling-point elevation, respectively, for solutions. - **Normal Freezing and Boiling Points:** These values indicate the temperatures at which the solvent will freeze or boil at 1 atmosphere of pressure. Understanding these constants is essential for predicting how the presence of solutes will affect the physical properties of solutions.
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