If the freezing point depression (DTf) is 5.62 and the freezing point depression constant (Kf) is 3.90, what is the molality of the solution? Assume that the solute is a nonelectrolyte (i = 1).
delta T = Kf*m
5.62 = 3.90*m
Solve for m
To find the molality of the solution, we can use the formula for freezing point depression:
ΔTf = Kf * m * i
Where:
ΔTf = freezing point depression
Kf = freezing point depression constant
m = molality of the solution (in mol solute / kg solvent)
i = van't Hoff factor (which is 1 for a nonelectrolyte)
Given:
ΔTf = 5.62
Kf = 3.90
i = 1
Now, we can rearrange the formula to solve for the molality (m):
m = ΔTf / (Kf * i)
Plugging in the values:
m = 5.62 / (3.90 * 1)
m = 5.62 / 3.90
m ≈ 1.44 mol/kg
Therefore, the molality of the solution is approximately 1.44 mol/kg.