A model polyethylene is prepared by hydrogenating a narrow distribution $1,4-$polybutadi$-$

ene prepared by anionic polymerization. If the polymerization yields $8\%$ "vinyl" addition,

what would you estimate for the equilibrium melting point of the resulting polyethylene? It

might be helpful to think of this as a random copolymer, and consider the mole fraction of

"defects" represented by the side groups, on a per ethylene backbone unit basis. Equation

$13\mathrm{.}4\mathrm{.}12$ may also be relevant.