In a stirred blending tank, the concentration of NaOH solution is decreased from 20mol/L to 15mol/L using pure water. The flowrates of inlet solution and pure water are 3L/min and 1L/min, respectively at steady state. The volume of liquid solution in the tank remains constant at 100L. Assume that densities of all streams are equal. a) Develop the transfer function between outlet concentration and inlet concentration of A and determine the time constant and static gain b) If inlet concentration of A is increased by a step change of 2 , obtain CA(t), find the ultimate value of CA and time required to reach 95% of ultimate value c) If inlet concentration of A is increased by unit ramp function, obtain CA(t) d) For both cases, sketch the responses and change in inlet concentration of A