$1.$ Dynamic measurements on a sample of poly $($ethyl procrastinate$)($PEP$),$ assuming it fits a Maxwell model element has G$=107$ Pa$,,$ and a frequency of $1$ cycle$/$s $(),$ at a temperature of T$=$Tg$+20$C$.$ Assume that the element$$s shift factors are given by the WLF equation with $$universal$$ constants. Following equations are given:

G$()=,$ G$()==/$G

$($a$)$ Calculate G$$ and G$$ at a frequency of at a temperature of T$=$Tg$+20$C$.$ ;

$($b$)$ At which frequency would this sample have the same G$$ at a temperature of Tg$+40$C$?.$