Please solve it step by step on paper and make it clear.
Problem #1: Using the data below, you are to select concentrations of initiator and CTA that will give poly(vinyl acetate) with an initial molecular weight (assuming disproportionation termination only) of 15,000. The polymerization (at 60°C) should be 50% complete in 8 min.
Reactant FW Initial Concentration (mol/L)
Monomer: vinyl acetate 86.09 500.0
Initiator: 2,2'-azo-bis-2-isobutyl-4-methylvaleronitrile 332
Transfer agent: benzyl mercaptan 124.21
Solvent: methanol to make 1 L, k=3.78x10^5 L/mol-s, k=15x10^6 L/mol-s, k=600x10^6 L/mol-s, Cs=0.885
Problem #2: The molecular weight of the polymer when vinyl butyrate is polymerized in an inert solvent is 500,000. With all other conditions the same, the addition of 5 g/L of l-dodecanethiol decreases the molecular weight to just 150,000. What concentration of l-dodecanethiol will give a molecular weight of 275,000 (keeping in mind that all other conditions remain the same)?