If a 0.900 m aqueous solution freezes at -2.00 Celsius, what is the van't Hoff factor, i, of the solute?

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If a 0.900 m aqueous solution freezes at -2.00 Celsius, what is the van't Hoff factor, i, of the solute? 

i=

**Colligative Properties**

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                | H₂O       | 1.86                  | 0.00                       | 0.512                | 100.00                   |
| Benzene              | C₆H₆      | 5.12                  | 5.49                       | 2.53                 | 80.1                     |
| Cyclohexane          | C₆H₁₂     | 20.8                  | 6.59                       | 2.92                 | 80.7                     |
| Ethanol              | C₂H₆O     | 1.99                  | -117.3                     | 1.22                 | 78.4                     |
| Carbon tetrachloride | CCl₄      | 29.8                  | -22.9                      | 5.03                 | 76.8                     |
| Camphor              | C₁₀H₁₆O   | 37.8                  | 176                        |                      |                          |

*When using positive \(K_f\) values, assume that \(\Delta T_f\) is the absolute value of the change in temperature. If you would like \(\Delta T_f\) to be negative, you must use negative \(K_f\) values. Either way, the freezing point of the solution should be lower.
Transcribed Image Text:**Colligative Properties** 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 | H₂O | 1.86 | 0.00 | 0.512 | 100.00 | | Benzene | C₆H₆ | 5.12 | 5.49 | 2.53 | 80.1 | | Cyclohexane | C₆H₁₂ | 20.8 | 6.59 | 2.92 | 80.7 | | Ethanol | C₂H₆O | 1.99 | -117.3 | 1.22 | 78.4 | | Carbon tetrachloride | CCl₄ | 29.8 | -22.9 | 5.03 | 76.8 | | Camphor | C₁₀H₁₆O | 37.8 | 176 | | | *When using positive \(K_f\) values, assume that \(\Delta T_f\) is the absolute value of the change in temperature. If you would like \(\Delta T_f\) to be negative, you must use negative \(K_f\) values. Either way, the freezing point of the solution should be lower.
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