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Consider the model of the electrically heated stirred-tank system. Subscript e refers to the heating element. mCpdtdT=wCp(TiT)+heAe(TeT)meCp,edtdTe=QheAe(TeT) (a) Derive transfer functions relating changes in outlet

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Consider the model of the electrically heated stirred-tank system. Subscript e refers to the heating element. mCpdtdT=wCp(TiT)+heAe(TeT)meCp,edtdTe=QheAe(TeT) (a) Derive transfer functions relating changes in outlet temperature T to changes in the two input variables: heater input Q, and inlet temperature T1 (b) Show how these transfer functions are simplified when negligible thermal capacitance of the heating element (meCp,e0) is assumed

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