what is the freezing point of a solution prepared by adding 27.3 g of ethanol (c2h5oh) to 83.0 g of water? the molal freezing point depression constant for water is -1.86 oc/m.



Answer :

The freezing point of the solution will be - 0.952 °C can be calculated by the molality of the solution.

Molality of the solution can be calculated as follows by :

Molality= Number of the moles of the solute / weight of the solvent in Kg

= 27.3 ×100/ 83.0 × 46.07

= 0.7m

Since the molar mass of the ethanol is 46.07g/mol

So by the formula,

The molal freezing point depression constant KF and the solute's molality, m, are used to calculate the freezing point depression, which is given by T = KFm. Rearranging results in the formula: mol solute = (m) x (kg solvent).

ΔTf​ = Kf  ×Molality

=1.86×0.7

= 0.952

Thus, freezing point = 0−0.952

                                 =−0.952

Hence the freezing point of the resulting solution is calculated .

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