A student prepared a sugar solution containing 1.463 g of sugar (C12H22On) in 25.00 mL of water, and he/she produced the following freezing point data: Freezing Point of Pure Water 20 15 10 10 20 60 100 110 120 130 time (seconds) Freezing Point of Sugar Solution 25 20 30 10 een What is the Ki of water based on the student's data? A. 20 °C/m B. 8.8 °C/m C. 4.2 °C/m D. 0.49 °C/m Temperature ()

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A student prepared a sugar solution containing 1.463 g of sugar (\(C_{12}H_{22}O_{11}\)) in 25.00 mL of water, and he/she produced the following freezing point data:

**Graph 1: Freezing Point of Pure Water**

- **Description**: The graph shows the temperature of pure water as it freezes over time. The y-axis represents temperature in degrees Celsius (°C), ranging from 0 to 25°C. The x-axis represents time in seconds, ranging from 0 to 130 seconds.
- **Trend**: The curve initially drops steeply, indicating the release of latent heat as water begins to freeze, then levels out, showing the point where the temperature remains constant as the phase change occurs.

**Graph 2: Freezing Point of Sugar Solution**

- **Description**: This graph presents the temperature of the sugar solution as it freezes over time. The axes are similar to the first graph: temperature on the y-axis (0 to 25°C) and time on the x-axis (0 to 100 seconds).
- **Trend**: Like the first graph, the curve shows a steep initial decline, then levels out but at a lower temperature than the pure water, indicating a lower freezing point due to the presence of solute.

**Question:**

What is the \(K_f\) of water based on the student's data?

- A. 20 °C/m
- B. 8.8 °C/m
- C. 4.2 °C/m
- D. 0.49 °C/m
Transcribed Image Text:A student prepared a sugar solution containing 1.463 g of sugar (\(C_{12}H_{22}O_{11}\)) in 25.00 mL of water, and he/she produced the following freezing point data: **Graph 1: Freezing Point of Pure Water** - **Description**: The graph shows the temperature of pure water as it freezes over time. The y-axis represents temperature in degrees Celsius (°C), ranging from 0 to 25°C. The x-axis represents time in seconds, ranging from 0 to 130 seconds. - **Trend**: The curve initially drops steeply, indicating the release of latent heat as water begins to freeze, then levels out, showing the point where the temperature remains constant as the phase change occurs. **Graph 2: Freezing Point of Sugar Solution** - **Description**: This graph presents the temperature of the sugar solution as it freezes over time. The axes are similar to the first graph: temperature on the y-axis (0 to 25°C) and time on the x-axis (0 to 100 seconds). - **Trend**: Like the first graph, the curve shows a steep initial decline, then levels out but at a lower temperature than the pure water, indicating a lower freezing point due to the presence of solute. **Question:** What is the \(K_f\) of water based on the student's data? - A. 20 °C/m - B. 8.8 °C/m - C. 4.2 °C/m - D. 0.49 °C/m
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