Question$-4$

As a process engineer with the Complex Pole Corporation, you are assigned a unit with an exothermic chemical reactor. In order to learn more about the dynamics of the process, you decide to make a step change in the input variable, the coolant temperature, from $10C$ to $15C.$ Assume that the reactor was initially at a steady state. You obtain the following plot for the output variable, which is reactor temperature $($notice that the reactor temperature is in $F).$ Use Figure below to help answer the following questions.

What is the value of the process gain? $($show units$)$

What is the value of $?($show units$)$

What is the value of $?($show units$)$

What is the decay ratio?

What is the period of oscillation? $($show units$)$

Write the second$-$order transfer function