You oversee a polymer synthesis laboratory which only has the chemicals labelled A through $R$ below.

a$.$ Which molecule could be used as an initiator for a free radical polymerization? Write the chemical reaction$($s$)$ representing initiation as well as a differential equation for the rate $R_i$ of generation of free radicals. What does $R_i$ depend on besides the rate constant$($s$)$ for the chemical reaction$($s$)?$

b$.$ You want to produce polystyrene $($PS$).$ What molecule should you use as the monomer? Draw the propagation reactions.

c$.$ Write two chemical reactions which are possible termination reactions for the growing PS radicals. Write a differential equation for the rate of disappearance of PS radicals. What is the dependence of this rate on the concentration of PS radicals, $M^{*}?$

d$.$ What is the "steady state" approximation? Use this approximation with your answers to $($a$)$ and $($c$)$ to find $[[$:$M\}$ as a function of the initiator concentration, $[$I$]?$

e$.$ What additional information will you need to find the kinetic chain length? Assuming that information is available, show how you would use it to determine the kinetic chain length.

A$.$

B$.$

C$.$

F$.$

H$.$

J$.$

K$.$

N$.$

P$.$

Q$.$