Final answer:
To find the freezing temperature of a solution, calculate the molality of the solution, find the freezing point depression constant, and subtract it from the normal freezing point of water.
Step-by-step explanation:
To find the freezing temperature of a solution, we need to apply the concept of molality (mol/kg). First, we need to calculate the molality of the glucose solution by dividing the number of moles of glucose by the mass of water in kg. Then, we can use the molality value to find the freezing point depression constant (ΔTf) for water. Finally, we can use the equation ΔTf = Kf * molality to solve for the change in freezing temperature, and subtract that from the normal freezing point of water (0°C) to find the freezing temperature of the solution.
In this case:
- Calculate the number of moles of glucose using its molar mass (C6H12O6).
- Convert the mass of water to kg by dividing it by 1000.
- Calculate the molality of the solution by dividing the number of moles of glucose by the mass of water in kg.
- Use the molality value to find the freezing point depression constant, Kf, for water.
- Calculate the change in freezing temperature, ΔTf, using the equation ΔTf = Kf * molality.
- Subtract ΔTf from the normal freezing point of water (0°C) to find the freezing temperature of the solution.
These steps can be applied to any solution to calculate its freezing temperature.