Assume that thermosetting resin's cure kinetics follows an equation:

$\frac{d}{dt}=A*exp(-\frac{E_a}{RT})*(1-{)}^n$

with $A=1({10}^{7\mathrm{.}7})s^{-1}$;$E_a=73\mathrm{.}59({10}^3)\frac{J}{\text{m}\text{o}\text{l}}$;$n=1\mathrm{.}92.$ The universal gas constant, $R=8\mathrm{.}31\frac{J}{\text{m}\text{o}\text{l}\text{K}}.$ A series of partially cured samples of this thermoset resin were prepared isothermally at $60C$ and $80C,$ and glass transition of these samples was measured with DSC$.$ The cure time of isothermally cured samples and their corresponding $T_g\text{'}$s are reported in the table below. Find the parameters $T_{g0},T_g,$ and $$ of the empirical DiBenedetto equation for this thermoset resin:

$\frac{T_g-T_{g0}}{T_g-T_{g0}}=\frac{}{1-(1-)}$

Plot $T_g()$ data, combining discrete$/$given values and fitted DiBenedetto curve.

$\backslash$table$[[$Isothermally cured samples @ $60C,$Isothermally cured samples @ $80C$