The Hansen dispersion (\(\delta D\)), polar (\(\delta P\)), and hydrogen (\(\delta H\)) bonding parameters for polystyrene are, 18.6, 6, and 4.5 respectively. Assuming the solubility radius (Ro) is 12.7 complete the table below and rank the solvents from best (1) to worst (4).
Solvents
\(\delta D\) \(\delta P\) \(\delta H\)
MVol (m³/mol)
Ra
RED
Rank #
Acetone
15.5
10.4
7
73.8
Butyl Benzoate
18.3
5.6
5.5
178.1
Ethylene Glycol
17
11
26
55.9
Methylene Chloride
17
7.3
7.1
64.4
Sketch in the graph below the free energy of mixing for the best and worst solvents on the table. Include only two curves, one for the good solvent and one for the bad solvent.
\(\Delta G_{mix}/(n_{site}k_BT)\)
0.4
0.3
0.2
0.1
0.0
-0.1
-0.2
-0.3
-0.4
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
\(\phi\)