The plot below contains the results of modulus$-$time $($stress relaxation$)$ experiments on

bisphenol A polycarbonate $($PC$,$ Lexan$).$

For this sample of PC: $M_w=40k\frac{g}{m}o{l}_1,T_2=151C,C_1=16\mathrm{.}14$ and $C_2=56C.$

a$.$ Write the WLF equation. Now use it to calculate $a_T$ for $T=141C,T=151C,$ and

$T=171C.$

b$.$ Use the $a_T$ value that you calculated for $T=141C$ to complete the data table below.

$($Neglect thermal density effects or other vertical shifts$)$: c$.$ Sketch a master curve that includes several $($at least $3)$ of the data sets. Disregard vertical shifts. Be sure to clearly distinguish the different data sets and include values and labels on the axes. Don't worry about plotting each data point perfectly, just illustrate the general trends clearly.

d$.$ Show how you expect the results of your experiment to change if the molecular weight of the polymer is tripled. Draw your hypothesis on the master curve above and label it $"3M_{wv}".$ Please give me the answers and procedure