The following hydroxy acid is polymerized by condensation polymerization:

HC$-$CH$2$CH$2$CH$2$CH$2-$COOH

What is the structural type of the polymer produced?

If the weight average molecular weight of this polymer is $18,400$

g$/$mole calculate:

a$)$ the percentage of carboxyl groups that have been esterified

b$)$ the number average molecular weight of the polymer

c$)$ the average degree of polymerization of the chains

d$)$ the probability that a chain has twice the degree of polymerization