Bill Choate
Potassium persulfate (PPS or KPS) is the free radical polymerization initiator. Since the process contains PPS and styrene, I guess that it is a latex producing emulsion polymerization. Particle size is a function of several factors. The process may be using an emulsifying agent; a nonionic emulsifying agent will speed up the decomposition of PPS (and the reaction). PPS is a water soluble free radical initiator. The molecular weight of the polymer produced will depend upon the amount of PPS used, whether a chain transfer agent (dodecyl mercaptan or other), and the time/temperature conditions of the reaction. This is just a short answer to the question.
Bill Choate