Calculate the freezing point of a 2.9 m aqueous sucrose solution. (Assume that Kf for water is 1.86∘C/m.)

Explanation:

Relation between temperature and molality is as follows.

where,   = depression in freeziing point

              = molal deression in freezing point

               m = molality

Putting the given values into the above formula as follows.

                             =

                             =

It is known that freezing point of water is and the frreezing point of sucrose is calculated as follows.

             Freezing point =

                                       =

Thus, we can conclude that the freezing point of a 2.9 m aqueous sucrose solution is .