$1.$ In reality the capillary rheometer $($from $3)$ has a $20$ kN load cell that pushes the material down. The diameter of the reservoir is actually $25$ mm and the max velocity of the piston is $1200$ mm$/$min$.$ Assume the material is molten corn starch that has a density of $1200$ kg$/$m$3,$ and heat capacity is $3$ kJ$/($kg$*$C$).$ a$)$ what is the max temperature rise of the material? $(10$ pts$)$ b$)$ Can you neglect the velocity in the reservoir, why or why not? $(5$ pts$).$