The height of a column of liquid that can be supported by a given pressure is inversely proportional to its density. An aqueous solution of 0.010 g of a protein in 10. mL of water at 20°C shows a rise of 5.22 cm in the apparatus shown in Fig. 5F.3. Assume the density of the solution to be 0.998 g · cm^–3 and the density of mercury to be 13.6 g · cm^–3.

(a) What is the molar mass of the protein?

(b) What is the freezing point of the solution?

(c) Which colligative property is best for measuring the molar mass of these large molecules? Give reasons for your answer.

FIGURE 5F.3

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wake Liquid level Semipermeable membrane Solvent Solute