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Assume the samples of juices A, B and C ...

Assume the samples of juices A, B and C have glucose as the sugar present in them. The concentration of sample A,B and c are 0.1 M, .5 M and 0.2 M respectively. Freezing point will be highest for the fruit juicee:

A

A

B

B

C

C

D

All have same freezing point.

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To determine which fruit juice has the highest freezing point among samples A, B, and C, we need to analyze the effect of glucose concentration on the freezing point depression. ### Step-by-Step Solution: 1. **Understand Freezing Point Depression**: The freezing point depression (\( \Delta T_f \)) is given by the formula: \[ \Delta T_f = i \cdot K_f \cdot m \] where: - \( i \) is the van 't Hoff factor (which is 1 for glucose since it does not dissociate in solution), - \( K_f \) is the freezing point depression constant (which is constant for a given solvent), - \( m \) is the molality of the solution. 2. **Identify the Concentrations**: The concentrations of the glucose solutions are: - Sample A: 0.1 M - Sample B: 0.5 M - Sample C: 0.2 M 3. **Determine the Depression in Freezing Point**: Since the van 't Hoff factor \( i \) and the freezing point depression constant \( K_f \) are the same for all samples (as they all contain glucose in water), the freezing point depression will depend solely on the concentration of glucose: - For Sample A (0.1 M): \( \Delta T_f = 1 \cdot K_f \cdot 0.1 \) - For Sample B (0.5 M): \( \Delta T_f = 1 \cdot K_f \cdot 0.5 \) - For Sample C (0.2 M): \( \Delta T_f = 1 \cdot K_f \cdot 0.2 \) 4. **Compare the Freezing Point Depression**: The higher the concentration, the greater the depression in freezing point: - Sample A: \( \Delta T_f = 0.1 K_f \) - Sample B: \( \Delta T_f = 0.5 K_f \) - Sample C: \( \Delta T_f = 0.2 K_f \) 5. **Determine the Highest Freezing Point**: Since the freezing point depression is greatest for Sample B (0.5 M), it will have the lowest freezing point. Conversely, Sample A (0.1 M) has the least depression, meaning it will have the highest freezing point. ### Conclusion: The freezing point will be highest for **Sample A**.
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