Answer Happy

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1. Consider the following block diagram representing the dynamics between the process input, coolant flow rate (Fe), and process output, reactor temperature (T): 1 s? +2s + 2 Fl(s) T'(s) - 2 5 S s? +2s + 2 Assume that initial steady-state condition is given by T = 50°C and F, = 30 kg/h. (a) Determine the overall transfer function, G(s) = 7"(s)[Fe(s) (b) The coolant flow rate is suddenly changed to 25 kg/h. What will be the expression for the reactor temperature, 7(6), as a function of time? What will be the maximum temperature observed? When will it occur? What is the final value? (c) Plot the output response T() to the above input change in the coolant flow. Note that the maximum value of T(), the corresponding time to achieve the value and final value should be indicated in the plot.