At 5 C the reaction of ketene to diketene 2CH=CO (CH=CO)2 occurs rather slowly in the liquid phase, with second order kinetics (-ket kCket). We wish to design a flow process to treat a ketene feed (vo= 0.8m/hr) to 98% conversion in 2 horizontal tanks in series, each mechanically agitated and having 3 well mixed compartments. In a batch reactor this conversion would re- quire a 12 hour reaction time. (a) In theory, what volume would be required for 1 PFR? (b) What tank volume would be needed to do this is 1 CSTR? (c) What about 2 CSTRS and what is the total of the two? (d) Now for the design objective of 6 total well-mixed flow compartments, and what is the total of the 6? Hint: do not try to solve this one analytically. Instead develop an expression that relates X, the conversion leaving compartment i, to X-1. Then try to find a volume that will give the correct X6 and Xo. (e) What is the size of each of the two tanks? Assume the internals (i.e. the ag- itators, baffles, cooling coils, etc.) occupy 10% of the tank volume. State any assumptions, such as constant liquid density. Draw or create a picture of your reactors with you standing next to it for scale. Vo 8 0 8 0 8 0 0 Sketch of 1 tank with 3 compartments. A big tank on a trailer.