In a typical emulsion polymerization, 330 mL of butadiene is mixed with 670 mL of water. A mass of 3.0 g of sodium palmitate soap is added to create 2 107 polymer particles per liter. Potassium persulfate is used as the free radical initiator. The reactor is near Phase II of the polymerization, the monomer concentration inside the particles is 7 mol/L, the initiator concentration is 0.02 mol/L, and termination happens only by combination. The dissociation rate constant for potassium persulfate is ka = 3.2 x 10-6s-1 and the propagation rate constant of butadiene is kp = 100 L/(mol s). a) Calculate the rate of generation of free radicals per liter of solution. b) Calculate the rate of polymerization in mol/(Ls). c) Calculate the number average chain length of the polymer. d) If we increase the surfactant loading to 9 g, what would be the rate of polymerization and number average chain length of the polymer?