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278 Problems
equilibrium at 11000 revolutions per minute and at 25°C. The
following equilibrium concentrations were measured:

Distance from axis
of rotation/cm 4.90 4.95 5.00 5.05 5.10 5.15
Concentration/'g dm~^3 1.30 1.46 1.64 1.84 2.06 2.3!

The partial specific volume of the protein was 0.75 cm^3 g"^1 and the
density of the solution (assumed constant) was 1.00 g cm"^3. Calculate
the relative molecular mass of the protein.


  1. The following osmotic pressures were measured for solutions
    of a sample of polyisobutylene in benzene at 25°C:


Concentration/(g/m cm^3 ) 0.5 1.0 1.5 2.0
Osmotic pressure/'(cm solution) 1.03 2.10 3.22 4.39
(solution density = 0.88 g cm~^3 in each case)

Calculate an average relative molecular mass.


  1. A 0.01 mol dm~^3 aqueous solution of a colloidal electrolyte
    (which can be represented as Na^X) is on one side of a dialysis
    membrane, while on the other side of the membrane is an equal
    volume of 0.05 mol dm"^3 aqueous sodium chloride. When Donnan
    equilibrium is established, what net fraction of the NaCl will have
    diffused into the compartment containing the colloidal electrolyte?

  2. The following light-scattering data give values of the quantity
    107 Kc/Re for solutions of cellulose nitrate dissolved in acetone:


Concentration/ Scattering angle
g dm~^3 (in relation to transmitted beam)
45° 32° 17° 30'
0.88 69.8 49.0 33.0
0.64 66.0 45.5 29.4
0.43 62.8 42.1 25.9

Make appropriate extrapolations and calculate an average relative
molecular mass for the cellulose nitrate.

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