548 546 544 542 540 538 Riser Outlet Temperature, T. (C) 536 534 532 530 528 0 0.2 0.4 0.8 1 1.2 0.6 Time (h) Figure 2 Response of riser outlet temperature (Tr) based on step change of regenerated catalyst flow (F.) from 7.43 to 17.43 kg/hr 533 532.5 532 531.5 531 Riser Outlet Temperature, T, (C) 530.5 530 529.5 529 528.5 0 0.2 0.4 0.6 0.8 1 1.2 Time (h) Figure 3 Response of riser outlet temperature (T.) based on step change of feedstock temperature (Tfeed) from 360 to 380C Table 1 Specification for Each Groups Group Time Delay (min) Set-point 1 0.5 Ti = 550 2 2 1 Ti = 560 3 1.5 Ti = 550 4 2 Ti = 560 5 2.5 Ti = 550 6 3 Ti= 560 7 3.5 Ti = 550 8 4 Ti = 560 9 4.5 Ti= 550 10 5 Ti = 560 Question: Based on the open-loop dynamic response, develop first order plus time delay (FOPTD) model. Determine the process gain, time constant and time delay (see Table 1) based on the given dynamic response