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A glucose solution contains 56.0 g of glucose (C₆H₁₂O₆) in 461 g of water.

Determine the freezing point of the solution.

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Final answer:

To find the freezing point of the glucose solution, we calculate the molality of the solution, apply the freezing point depression formula, and subtract the result from water's freezing point.

Step-by-step explanation:

The question asks us to determine the freezing point of a glucose solution by calculating the depression in freezing point caused by the solute. To do this, we use the formula ΔTf = i * Kf * m, where ΔTf is the freezing point depression, i is the van't Hoff factor (for glucose, i=1, since glucose does not dissociate in solution), Kf is the freezing point depression constant for water (1.86°C/m), and m is the molality of the solution.

Here is the approach to answer this student's question:

  • Calculate the moles of glucose using its molecular weight.
  • Calculate the molality (m) of the solution by dividing the moles of glucose by the mass of the solvent in kilograms.
  • Apply the formula for freezing point depression to find ΔTf.
  • Subtract ΔTf from the normal freezing point of water (0°C) to find the solution's freezing point.

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