Problem 1 Consider the single CSTR 1st order reaction below fitted with a feedback controller. For an anticipated CA setpoint (SP) change - step change - in the P- only controller, determine the range of controller gain Kc that will provide a stable control of the output variable CA. Shown below are the transfer functions for the dynamics of valve opening MV on Cao: G,(s)=Cao(s)/MV(s); and the process dynamics Ge(s)=Ca(s)/CAo(s). Time is in minutes. A AC S CAO CA A - pure reactant S-pure solvent ra =-kCA Gp(s) = 0.41667 1.667s+1 [(mol Ca/m>)/(mol Cao/m3)] G Gy(s) = 1 [(mol Cao/m)/(%open)]