a) [10 pts] After observing a process, the operator records that a decrease of 500kg/h in the cooling water mass flow rate to a reactor produces a 4C increase in the reactor temperature. The temperature increase was 95% complete after 15 minutes. Using this process information, develop a first-order model for this process. b) [10 pts] A process, which is known to exhibit second order under-damped behavior, reaches steady-state without any offset after a step change. Meanwhile, the decay ratio is 0.2 and the time period for oscillations is 20 minutes. Develop a second order transfer function for this process