Example 4-7 Hougen and Watson, in an analysis of Kassell's data for the homogeneous, vapor-phase'dehydrogenation of benzene in a tubular-flow reactor considered two reactions 1. 2C6H6(g)C12H10(g)+H2(g) 2. C6H6(g)+C12H10(g)C18H14(g)+H2(g) The rate equations are: rB1rBlbmolestriphenylproducedordiphenylreacted/(h)(ft3)=14.96106e15.200/T(pB2K1pDpH)1bmolesbenzenereacted/(h)(ft3)=8.67106e15.200/T(pBpDK2pTpH)D=diphevylB:Beuzeve where pB= partial pressure of benzene, atm pD= partial pressure of diphenyl, atm pT= partial pressure of triphenyl, atm pH= partial pressure of hydrogen, atm T= temperature, K K1,K2= equilibrium constants for the two reactions in terms of partial pressures. K1=0.312;K2=0.480 The data on which the rate equations are based were obtained at a total pressure of 1atm and temperatures of 1265 and 1400F in a 0.5-in. tube 3ft long. It is now proposed to design a tubular reactor which will operate at 1atm pressure and 1400F. (a) Determine the total conversion of benzene to di-and triphenyl as a function of space velocity. (b) Determine the reactor volume required to process 10,000lb/h of benzene (the feed is pure benzene) as a function of the total conversion. First carry out the solution with the assumption that only reaction 1 occurs, and then proceed to the solution for the two consecutive reactions. (c) What is the space velocity for which the concentration of diphenyl is a maximum? Assume that the reactor will be operated icnthermallv and that no other reactions are significant