Styrene butyl acrylate copolymer was prepared by emulsion polymerization technique. The

monomer mole ratio of styrene$-$butyl acrylate was set to $0\mathrm{.}4-0\mathrm{.}6$ for polymerization and

monomers were considered to be completely consumed during the polymerization. The

number average molecular weight of the resulting copolymers was determined as $118400$

$\frac{g}{m}ol$ from the GPC curve. Calculate the Tg value from the Fox Equation for this random

copolymer. $($Mstyrene: $104\frac{g}{m}ol$; Mbutyl acrylate: $128\frac{g}{m}ol)($Tg of polystyrene:$373$ K; Tg of

polybutylacrylate: $219K)($hint: copolymer repeating unit should be considered!$)$