$($a$).$ Assume $A=-9\mathrm{.}2{10}^{-4},B=0\mathrm{.}722,C=0$ and these values apply in the

range $T=30-130C.$ Include the $F_{\text{m}\text{i}\text{x}}vs$ and $vs$ and $Tvs$ plots with

the binodal line as a solid line while the spinodal as a dashed line. Properly label

the unstable spinodal, metastable, and stable regions. Also, find ${}_c,{}_c,$ and $T_c.$Pick

the correct y$-$axis ranges to show the data properly.

$($b$).$ Calculate the free energy of mixing $($for a polymer blend of SPB$/$dSPB

where $N_A=N_B=2,000$ at $305K,350K,$ and $400K$