Process Control and Instrumentation
Find the ultimate gain and frequency for a proportional controller in the case of a process having the transfer function Gp(s) = 1/(4s + 1)(2s + 1)(s + 1).

W = √(7/8), Kc = 45/4
W = 1, Kc = 13
W = 1/√14, Kc = 45/7√14
W = √(7/6), Kc = 46/3

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Process Control and Instrumentation
Temperature control of an exothermic chemical reaction taking place in a CSTR is done with the help of cooling water flowing in a jacket around the reactor. The types of valve and controller action to be recommended are

Air to open valve with the controller indirect acting
Air to open valve with the controller direct acting
Air to close valve with the controller indirect acting
Air to close valve with the controller direct acting

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