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Consider the following stirred tank mixer. Both inlet concentrations CA1 and CA2 fluctuate. Assume that all the flow-rates are constant. The system has been operating at the following steady state conditions: F1=10lit/min;F2=20lit/min;CA1=0.1gmol/lit;CA2=1gmol/lit..V=mm3. a. Derive the transfer functions CA1CA and CA2CA. b. What are the values of steady-state gains and time constants? Draw the block diagram showing the transfer functions, input-output variables and connections. c. At time t=0, the inlet concentration CAf1 decreases by 15%. Compute and sketch the exit concentration