A concentration control loop in an industrial chemical process can be represented by a second order dynamics with a long transmission delay. The two time constants of the second order dynamics are T1 = 4 min. and T2 = 6 min. respectively. The steady state gain is 5 and dead time is 12 min. The loop is to be controlled to achieve a desired dynamics of first order with time constant Td = 2 min. and zero steady-state offset. Produce solutions to the following questions.

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