(Solution) - An electrically heated process is known to exhibit -(2025 Original AI-Free Solution)

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An electrically heated process is known to exhibit second-order dynamics with the following parameter values K is 3 °C/kW, ? = 3 mm, ? = 0.7. If the process initially is at steady state at 70 °C with heater input of 20 kW and the heater input is suddenly changed to 26 kV and held there:
(a) What will be the expression for the process temperature as a function of time?
(b) What will be the maximum temperature that one observes? When will it occur?