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Question 2: (15 Marks) A stired-tank system initially is full of water. The tank is being fed caustic solution at a constant flow rate q and inlet concentration C1. Consider the liquid volume V is constant with the following process data: V=2m3,q=0.4m3/min, and Ci=50kg/m3. 1- Given the dynamic model for the above process. Express the model in terms of deviation variables for the process input and output variables. 2- Derive the transfer function model G(s)=Ci(s)C(s). Determine the time constant ( () ) and the steady state gain (Kp) of the process. 3- For a unit step change in C1, evaluate the concentration dynamic response of the tank effluent stream, C(t) and determine the final steady state C(). VdtdC=q(CiC),dtdC=dtdC C,Ci are values at steady state and Ci=C at steady state Ci(t)=Ci(t)CiC(t)=C(t)C Question 2: (15 Marks) A stired-tank system initially is full of water. The tank is being fed caustic solution at a constant flow rate q and inlet concentration C1. Consider the liquid volume V is constant with the following process data: V=2m3,q=0.4m3/min, and Ci=50kg/m3. 1- Given the dynamic model for the above process. Express the model in terms of deviation variables for the process input and output variables. 2- Derive the transfer function model G(s)=Ci(s)C(s). Determine the time constant ( () ) and the steady state gain (Kp) of the process. 3- For a unit step change in C1, evaluate the concentration dynamic response of the tank effluent stream, C(t) and determine the final steady state C(). VdtdC=q(CiC),dtdC=dtdC C,Ci are values at steady state and Ci=C at steady state Ci(t)=Ci(t)CiC(t)=C(t)C