Problem

The formation of high-molecular-weight olefins, for example, Time (min)02.13.756.08.211...

The formation of high-molecular-weight olefins, for example,

Time (min)	0	2.1	3.75	6.0	8.2	11.4 ‘	15.4	20.4	25.7	28.4	31.0
T (°C)	18.0	21.5	25.5	30.7	36.0	39.5	42.5	46.8	52.53	57.1	62.3
Time (min)	33.2	34.45	35.2	35.8	36.8	37.2	37.8	38.0	38.2	38.0	40.6
reo	68.8	74.2	78.3	82.8	94.0	103.8	125.3	142.3	157.0	166.8	164.6

is carried out in the CSTR shown in Figure P9-20D(a) where (=) denotes the molecule is an olefin. The reaction is exothermic, and heat is removed from the reactor by heat exchange with a cooling water stream as shown in Figure P9-20D(a).

Troubleshooting

Initially, there is a temperature controller that regulates the reactor temperature. At t = t1 the controller is set into manual, and a step increase in the water flow rate through the heat exchanger was made. The temperature response is shown in Figure P9-20D(b). What are the parameters to match this trend?

Explain the observed temperature-time trajectory. To make your analysis simpler, you may assume that the only reaction taking place is