A student prepared a sugar solution containing 1.3658 g of sugar (C12H22O11) in 25.00 mL of water, and he/she produced the following freezing point curves. What is the K, of water based on the student's data? Freezing Point of Pure Water 10 a s I 1 19 1 10 te 10 1 10 210 Freezing Point of Sugar Solution A. 230 °C/m B. 1.8 °C/m C. 0.041 °C/m D. 24 °C/m atan

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## Freezing Point Depression of Sugar Solution

A student prepared a sugar solution containing 1.3658 g of sugar (C₁₂H₂₂O₁₁) in 25.00 mL of water and produced the following freezing point curves. The task is to determine the \( K_f \) of water based on the student's data.

### Graphs and Analysis

#### 1. **Freezing Point of Pure Water**

- **Axes**: The x-axis represents time (seconds), ranging from 0 to 220 seconds. The y-axis represents temperature (°C), ranging from -5 to 25 °C.
- **Curve**: The curve shows the cooling of pure water over time. Initially, the temperature decreases rapidly until it stabilizes at around 0°C.

#### 2. **Freezing Point of Sugar Solution**

- **Axes**: Similar to the first graph, the x-axis represents time (seconds) and the y-axis represents temperature (°C).
- **Curve**: The cooling curve of the sugar solution indicates a gradual decrease in temperature, stabilizing at a lower point than that of pure water.

### Question

Based on the data, what is the \( K_f \) of water?

#### Options:

A. 230 °C/m  
B. 1.8 °C/m  
C. 0.041 °C/m  
D. 24 °C/m  

Students are to analyze the graphs and select the appropriate \( K_f \) value using the freezing point depression concept.
Transcribed Image Text:## Freezing Point Depression of Sugar Solution A student prepared a sugar solution containing 1.3658 g of sugar (C₁₂H₂₂O₁₁) in 25.00 mL of water and produced the following freezing point curves. The task is to determine the \( K_f \) of water based on the student's data. ### Graphs and Analysis #### 1. **Freezing Point of Pure Water** - **Axes**: The x-axis represents time (seconds), ranging from 0 to 220 seconds. The y-axis represents temperature (°C), ranging from -5 to 25 °C. - **Curve**: The curve shows the cooling of pure water over time. Initially, the temperature decreases rapidly until it stabilizes at around 0°C. #### 2. **Freezing Point of Sugar Solution** - **Axes**: Similar to the first graph, the x-axis represents time (seconds) and the y-axis represents temperature (°C). - **Curve**: The cooling curve of the sugar solution indicates a gradual decrease in temperature, stabilizing at a lower point than that of pure water. ### Question Based on the data, what is the \( K_f \) of water? #### Options: A. 230 °C/m B. 1.8 °C/m C. 0.041 °C/m D. 24 °C/m Students are to analyze the graphs and select the appropriate \( K_f \) value using the freezing point depression concept.
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