F1= 88, F2= 70, Yp=84%, Xb= 0.75, Xp= 0.58, Rb= 8%, S= 75%

Cumene (C9H12) is a useful intermediate in the synthesis of specialty chemicals such as pharmaceuticals and flavorings. Cumene is synthesized from propylene (C3H6) and benzene (C6H6). Unfortunately, a side reaction also occurs, in which diisopropylbenzene (C12H18) is generated by reaction of propylene with cumene. The two balanced reactions are P+BC(rn1)P+CD(rn2) where: C is cumene, P is propylene, B is benzene, D is diisopropylbenzene A process flow diagram (PFD) for a cumene manufacturing process is shown in the figure below. AF1100kmol/h of a gas containing YP mol\% P and the rest inert (stream 1) is mixed with F2 kmol/hB (stream 2) plus a recycle stream (stream 8). The mixer outlet is fed to a reactor. The fractional conversions achieved in the reactor (based on the reactor feed stream 3 ) are the fractional conversion of benzene is XB and the fractional conversion of propylene is XP. The reactor outlet is sent to a separator, where all of the P, all of the I, and RB% of the B is recovered in stream 6 , and the remaining B and all of the C and D are recovered in stream 5 . Stream 6 is sent to a splitter. S% of the splitter feed is recycled to the mixer and the remainder is purged (stream 7). Calculate the flowrates and molar compositions of all streams of your PFD. In addition, calculate the selectivity (= moles of B converted to C/ moles of B consumed) for converting B to C achieved by the overall process. At the end of your calculations, create a table and give the total molar flowrate of each stream and the \% molar composition of the components in each stream. Figure 2: The cumene synthesis process