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Steam TT Column Reboiler Figure 1 Distillation-Column-Reboiler Temperature Control (8 marks ON 6 he typical control system for the double effect evanorator shown in Figure

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Steam TT Column Reboiler Figure 1 Distillation-Column-Reboiler Temperature Control (8 marks ON 6 he typical control system for the double effect evanorator shown in Figure 5. Manipulating the steam in th rols the composition of the product out of the last effect (control loop not shown). Step testing carried out ect evaporator gives the relationship between the concentrated solution's composition and the steam flow 17.5e-2.75s Op = 5.0s + 1 elationship between the concentrated solution's composition and the feed density is given as: 12.8e-1.65 = 2.55 +1 ga transmitter has a dynamics expressed by: 0.12 = Im 0.008s + 1 mics can be assumed negligible. +5 dt dt3 QUESTION 10 A particular process is modeled by the following differential equation (in perturbation variable form): d'y(t) d y(t) dyt) dut) +8 + 4y(t) = 2 + 3u(t) dt dt where y(t) is the output variable and u(t) is the input variable. All initial conditions are zero since the variable are deviations from the initial conditions of the process parameters Find the Laplace transform of the above equation (6 marks ii. Find the transfer function of the process (2 marks iii. Find the response of the system given that there is a step change of magnitude 2 in the input (10 marks iv. To what value will the output y(t) ultimately settle? (2 marks

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