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A heated process is used to heat the liquid in the tank with first order dynamics, that is, the transfer function relating changes in temperature

A heated process is used to heat the liquid in the tank with first order dynamics, that is, the transfer function relating changes in temperature T to changes in the heater input power level P is Where K has units [oC/Kw] and has units (minutes). The process is at steady state when an engineer changes the power input stepwise from 1 to 1.5 Kw, the following have been observed: (a) The process temperature initially is 80 oC. (b) Four minutes after changing the power input, the temperature is 230 oC. (c) Thirty minutes later (steady state) the temperature is 280 oC. Determine the values of K and in the process transfer function

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