Polymer Chemistry please

This problem involves plotting a phase diagram for mixtures of

poly$($isobutylene$)($PIB$)$ and $1,4-$poly$($butadiene$)($PB$)$ in the melt state. For simplicity

assume equal molecular weights and monodisperse polymers, $M_{\frac{?}{PI}B}=MP{B}_{PB},$ and a

common density of $=0\mathrm{.}87\frac{g}{c}{m}^3.$

Determine the molecular weight required to place the critical temperature at $100C.$

Calculate the spinodal $($stability$)$ curve and plot this on a Figure with $$Cdel$\frac{G_m}{d}el{}_i{G}_m\frac{(\text{:}{h}^2\text{:}{)}_2}{M}(A^2\frac{\text{m}\text{o}\text{l}}{g})25$

$C.$

Calculate the binodal $(equilibrium)$ curve and include this $in$ the phase diagram.

Hint: This problem $is$ easily completed using a numerical solution for del$\frac{G_m}{d}el{}_i$ based $on$

the symmetric form $of{G}_m.$

TABLE $6\mathrm{.}1$

Representative Values $of$ the Monomer Volume, Characteristic Ratio, Statistical Segment Length, Persistence Length, Packing Length,

Segment Length for $a100$ Reference Volume, Kuhn Length, and Molar Mass per Kuhn Length, for Various Flexible Polymers, Calculated

from the Experimental Quantities, $\frac{(\text{:}{h}^2\text{:}{)}_2}{M}(A^2\frac{\text{m}\text{o}\text{l}}{g})$