What is the freezing point of an aqueous solution that boils at 102.1 C?

See above.

To find the freezing point of an aqueous solution, we need to know the boiling point elevation constant and the boiling point of the pure solvent. The boiling point elevation constant (Kb) depends on the solvent used.

Since you provided the boiling point of the solution (102.1°C), we need to determine the boiling point of the pure solvent to calculate the boiling point elevation. It's important to note that the freezing point of a solution can be lower or higher than the freezing point of the pure solvent, depending on whether it is a freezing point depression or freezing point elevation.

Once we know the boiling point of the pure solvent, we can use the formula for boiling point elevation:

ΔTb = Kb * m

Where:
ΔTb is the boiling point elevation,
Kb is the boiling point elevation constant for the solvent, and
m is the molality of the solute in the solution.

Once we have ΔTb (boiling point elevation), we can determine the freezing point depression using the equation:

ΔTf = - ΔTb

The freezing point depression (ΔTf) will be subtracted from the freezing point of the pure solvent to obtain the freezing point of the solution.