Certain polymer has a Kuhn length of 1 nm. Its monomer has a length of 0.5 nm and a molar mass of 50 g/mol.
a. What is the volume of the polymer in the globule state, and what is its pervaded volume under conditions if the molar mass of the polymer is 1,000,000 g/mol?
b. For the polymer, it is given that when the average free volume for the polymer in solution is less than the diluted volume, the polymer undergoes aggregation and sinks as a solid. For a polymer with a concentration of molar, what is the highest molar mass possible for the polymer at which it will still be soluble in a solvent and in a good solvent?