Step-by-step explanation:
To calculate the freezing point depression, we need to use the formula:
ΔTf = Kf * m
Where ΔTf is the freezing point depression, Kf is the freezing point constant of water, and m is the molality of the solute.
First, we need to calculate the molality (m) of the solution:
molality = moles of solute / mass of solvent in kg
Since we have 0.1 moles of C12H22011 in 1 kg of water (assuming the density of water is 1 kg/L), we have:
molality = 0.1 mol / 1 kg = 0.1 m
Now, we can plug in the values into the formula:
ΔTf = Kf * m ΔTf = 1.86 K kg/mol * 0.1 mol = 0.186 K
Therefore, the freezing point depression of the solution is 0.186 °C.