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Another way that freezing point depression can be useful is to experimentally de

ID: 1004807 • Letter: A

Question

Another way that freezing point depression can be useful is to experimentally determine the molar mass of an unknown solute in a solution. Use the data in the table to answer the questions below and identify the unknown solute. (a) What mass of solute was used? g (b) What is the freezing point depression DeltaT_f of the solution? degree C (c) What is the colligative molality m_c of the solution? m (d) Assuming a van't Hoff factor i = 1, how many moles of solute are present in solution? mol (e) What is the molar mass of the solute? g/mol

Explanation / Answer

a) mass of solute = mass of solution - mass of solvent

= 10.734 - 10.265 = 0.469 g

b) Tf = Tf(solvent)Tf(solution)

Tf = 25.4 - 21.9 = 3.5 oC

c) molality = Tf / kf

m = 3.5 oC / 9.27 oC / m = 3.77 m

d) moles of solute = 10.265 g * 0.38 mol / 1000 g = 0.0039 mol

e) M.wt = 0.469 g / 0.0039 mol = 120.26 g/mol