Problems and Solutions
Chapter 9
Membrane Processes

Textbook Examples:

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09.01           Osmotic Pressure of a Aqueous Glucose and Sodium Chloride Solution (p. 424)

Additional Problems:

P09.01        Freezing and Boiling Temperature of a Solution from Osmotic Pressure 

The o
smotic pressure of a salt solution in water at 25°C has been measured as 7.2 atm against pure water. Estimate the freezing and boiling temperature of the solution from the data in Appendix A.

P09.02        Average Molar Mass (Polymer) from Osmotic Pressure 

An aqueous solution contains 6 g/l of a polymer. At 300 K, the osmotic pressure is 30 mbar. Estimate the average molar mass of the polymer, if ideal behavior can be assumed. Is this average the mass average or number average molar mass (see chapter 10.1)

P09.03        Osmotic Pressure from Freezing Point Depression 

In an aqueous sugar solution, the freezing point of water at atmospheric pressure is lowered by 0.1 K. Estimate the osmotic pressure of the solution at 20°C. Use the cryoscopic constant of water given in Example 8.7.

P09.04        Glycerol Concentration from Osmotic Pressure in Aqueous Solution 

The osmotic pressure of an aqueous glycerol solution is P = 12 bar. Estimate the glycerol concentration of the solution. The structural formula of glycerol is CH2OH-CHOH-CH2OH.