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Consider a chemical process to produce benzene at a rate of 9 5 0 0 k g h r with product benzene ( purity 9

Consider a chemical process to produce benzene at a rate of 9500kghr with product benzene (purity 99.7%). A process based on hydroalkylation (HAD) is considered. Figure 1 shows a simplified PFD diagram for HDA process. The basic unit operations of this process: reactor, furnace, vapor liquid separator, recycle compressor, two heat exchangers and three distillation columns. Two raw materials, hydrogen and toluene, are converted into benzene (main product), with methane and diphenyl produced as by products. The two vapor-phase reactions are:
C7H8+H2C6H6+CH4(1)
2C6H6C12H10+H2(2)
The kinetic rate expressions are functions of the partial pressure (in psia) of toluene PTo, hydrogen PH, benzene PBz and diphenyl PDp, with an Arrhenius dependence and given as
r1=3.6858106exp(-25,616T)PToPH0.5,Hrxn=-21,500Btulb
r2=5.987104exp(-25,616T)PBZ2-2.553106exp(-25,616T)PDpPH,Hrxn=0
Where r1 and r2 have units of Ibmolmin.ft3 and T(K).
Equilibrium constant for reaction 1(T is in K)
lnkp=13.51+5037T-2.073lnT+3.49910-4T+4.13710-8T2+3017T2
The flowsheet and key process streams for the process is given in Figure 1 and Table 1.
i. Plot input-output structure and Asses the economic potential of the process.
ii. Determine the conversion of ethanol.
iii. The yield of benzene based on toluene.
iv. The selectivity of diphenyl for toluene.
v. The benzene recovery.
vi. Evaluate the equilibrium conversion of toluene at 1150F.(consider only reaction 1).
vii. If the amount of hydrogen in the feed to the reactor is reduced to the stoichiometric amount determine the effect on the equilibrium conversion at 1150F.
viii. Discuss the importance of presence of the furnace on the reaction rate of both reactions.
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