You oversee a polymer synthesis laboratory which only has the chemicals labelled $A$

through $R$ below.

a$.$ Which combination of molecules could be used in step$-$growth polymerizations?

Draw $2$ reactions and their products.

b$.$ What molecules could be used if a cross$-$linked material is desired? Draw the

reaction and product.

A $50g$ sample of poly$($amide$6)[$Nylon $6]$ produced by "ideal" step$-$growth polymerization

of the monomer $P$ is found to contain $3{10}^{-3}$mol of $-\frac{C}{O}OH$ end groups by nuclear

magnetic resonance $($NMR$).$

a$.$ Calculate the number$-$average molecular weight of this sample of Nylon $6.$

b$.$ Calculate the extent of reaction $p$ of the step$-$growth polymerization.

c$.$ Assuming "ideal" step$-$growth polymerization statistics, calculate the weight$-$

average molecular weight.

d$.$ Estimate the weight fraction of chains in this sample that have a molecular weight

less than $8000gmo{l}^{-1}.($HINT: integration may be necessary$)$