The graph here is the response of an outlet temperature to a step increase of 10 lbm/min of steam flow through a jacket. Answer the following questions regarding this system. (a) Is the system stable? How do you know? (b) What type of damping is displayed? (over-, under-, critically-, etc)

(c) indicate the relevant parts on the graph, then use the readings from the graph to determine values of the following (including units where needed!): (i) Overshoot (Relevant parts of the graph done as an example for you already) (ii) Decay ratio (iii) Rise time (iv) Period

(d) From readings on the graph, calculate: (i) Process gain (ii) Damping factor (iii) Natural period

50 B 48 46 T (degrees celsius) 44 D 42 40 5 5 15 20 10 time (minutes)