# Problem: Which of the following solutions will have the lowest freezing point? Input the appropriate letter.A. 35.0 g of C3H8O in 250.0 g of ethanol (C2H5OH)B. 35.0 g of C4H10O in 250.0 g of ethanol (C2H5OH)C. 35.0 g of C2H6O2 in 250.0 g of ethanol (C2H5OH)

###### FREE Expert Solution

We’re being asked to list the given aqueous solutions in order of decreasing freezing point.

Recall that the freezing point of a solution is lower than that of the pure solvent and the change in freezing point (ΔT­f) is given by:

The change in freezing point is also related to the molality of the solution:

$\overline{){{\mathbf{\Delta T}}}_{{\mathbf{f}}}{\mathbf{=}}{{\mathbf{imK}}}_{{\mathbf{f}}}}$

where:

i = van’t Hoff factor

m = molality of the solution (in m or mol/kg)

Kf = freezing point depression constant (in ˚C/m) of the solvent

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###### Problem Details

Which of the following solutions will have the lowest freezing point? Input the appropriate letter.

A. 35.0 g of C3H8O in 250.0 g of ethanol (C2H5OH)

B. 35.0 g of C4H10O in 250.0 g of ethanol (C2H5OH)

C. 35.0 g of C2H6O2 in 250.0 g of ethanol (C2H5OH)