A proposal is made to control the temperature (T) and composition (Ca) in the chemical reactor in Figure Q20.18 by manipulating the feed flow and the inlet temperature. The chemical reaction is A → B, with r^ = KCa and no heat of reaction. The flow in the pipe is laminar, so that the flow out can be taken to be proportional to level, F = KL. The data for this system at the base case operation is the same as addition, the temperature is 323 K and the reaction rate constant is (a) Derive the linearized model for this system in deviation variables. (b) Determine whether the system is controllable in the steady state. (c) Derive the four individual single input-output transfer functions.
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