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osmometry.docx - MSE 430 Fall 2015 Problem Set Equilibrium...

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MSE 430 Fall 2015 Problem Set Equilibrium osmotic pressure heads (h) measured at 22 for a series of solutions of a polystyrene sample in toluene are tabulated below. PS Concentration (g/dm 3 ) 2.6 5.2 8.7 11.8 15.1 h (mm) toluene 5.86 12.93 24.37 36.84 50.99 Assuming that the densities of toluene and polystyrene at 22 are respectively 0.867 g cm -3 and 1.05 g cm -3 , calculate M n for the sample of polystyrene. For determination of M n by osmometry we will need the following formulae: Osmotic pressure: π = ρgh , where ρ is density of solvent (we assume that impact of PSt on density of the solution is negligible) in g cm -3 ; g is acceleration due to gravity 9.80665 m s -2 ; h is the change of height in mm; [π] = g cm -3 m s -2 mm = 10 -3 kg 10 6 m -3 m s -2 10 -3 m = kg m -1 s -2 = Pa π = 9.80665*1.05 h = 10.29698 h (Pa) Relation between osmotic pressure and
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