Question

3. The osmotic pressure of a solution of polystyrene in toluene at 30°C was measured as a function of solution concentration. The results are shown below: c (kg/m³) 1.97 2.99 4.10 4.96 5.98 9.91 12.9 ? (N/m²) 19.3 32.3 47.6 64.5 84.3 200.2 321.2 Determine the number-average molecular weight of the polymer and the average radius of gyration \(\langle Rg^2 \rangle_0^{1/2}\), i.e. \(\langle Rg^2 \rangle_0^{1/2} = \frac{1}{\sqrt{6}} \langle r^2 \rangle^{1/2}\). Assume the steric factor \(\sigma\) is 2.0 and the C-C bond is 1.54 Å.

          3. The osmotic pressure of a solution of polystyrene in toluene at 30°C was measured as a
function of solution concentration. The results are shown below:
c
(kg/m³)
1.97
2.99
4.10
4.96
5.98
9.91
12.9
?
(N/m²)
19.3
32.3
47.6
64.5
84.3
200.2
321.2
Determine the number-average molecular weight of the polymer and the average radius of
gyration \(\langle Rg^2 \rangle_0^{1/2}\), i.e. \(\langle Rg^2 \rangle_0^{1/2} = \frac{1}{\sqrt{6}} \langle r^2 \rangle^{1/2}\). Assume the steric factor \(\sigma\) is 2.0 and the C-C bond
is 1.54 Å.

3. The osmotic pressure of a solution of polystyrene in toluene at 30°C was measured as a
function of solution concentration. The results are shown below:
c
(kg/m³)
1.97
2.99
4.10
4.96
5.98
9.91
12.9
?
(N/m²)
19.3
32.3
47.6
64.5
84.3
200.2
321.2
Determine the number-average molecular weight of the polymer and the average radius of
gyration ⟨ Rg^2 ⟩0^1/2, i.e. ⟨ Rg^2 ⟩0^1/2 = (1)/(√(6))⟨ r^2 ⟩^1/2. Assume the steric factor σ is 2.0 and the C-C bond
is 1.54 Å.

Added by Sandra P.

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