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Problem 2 Consider the single CSTR 1st order reaction below fitted with a feedback controller. For an anticipated CA setpoint (SP) change - step change

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Problem 2 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: Gy(s)=Cao(s)/MV(s); and the process dynamics Ge(s)=Ca(s)/CAo(s). Time is in minutes. AC s CAO I CA A-pure reactant 5-pure solvent A B ra =-kCA Gp(s) 0.41667 1.667s+1 [(mol Ca/m>)/(mol Cao/m3)] G,(s) = sh, [(mol Cao/m?)/(%open)] m)/ = +1

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