Note: there is no need to aerrve the actual transter runctron. On the other nand, you should justify your answer to each question. Q-3: A liquid phase isothermal reaction takes place in a continuously stirred tank reactor. The reaction is second order and the outlet flow rate depends linearly on the liquid volume in the tank. The model equations are given as dtdC=VFin(CinC)kC2dtdV=FinF=FinV Where C is the tank concentration, V is the tank volume, F is the flow rate, subscript in refers to the inlet conditions, and k and are constants i. What are the state variable(s), input variable(s) and output variable(s)? Obtain a linear state-space model for this system. ii. Derive the process transfer function between the outlet (tank) concentration and the feed flow rate. iii. What are the poles and zeros of this transfer function? Q-4: Most separation processes in the chemical industry consist of a sequence of stages. For example, sulfur dioxide present in combustion gas may be removed by the use of a liquid absorbent (such as dimethylalanine) in a multistage absorber. Consider the three