$44$ grams of Bisphenol A diglycidyl ether $($DGEBA$)$ are to be reacted with Tris$(2$aminoethyl$)$amine $("$T$2")$ such that a stoichiometric equivalent number of functional groups are present for both molecules. The resulting product is an "epoxy".

$[$Hint $-$ each of the $\text{'}H\text{'}$ atoms on each amine group $\text{'}N\text{'}$ atom counts adds $\text{'}1\text{'}$ to the total functionality of the molecule.$]$

a$.$ What are the chemical structures and MWs of DGEBA and T$2?$

b$.$ Describe how these molecules react with each other.

c$.$ How many grams of T$2$ should be mixed with the DGEBA?

d$.$ What are the upper and lower estimates of ${}_c$ for this mixture?