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P12-25c (Multiple reactions with heat effects) Xylene has three major isomers, m-xylene (A), o-xylene (B), and p-xylene (C). When m-xylene (A) is passed over a Cryotite catalyst, the following elementary reactions are observed. The reaction to form p-xylene is irreversible: CH3 A (meta) Application Pending for Problem Hall of By CH₁ Fame B (ortho) CH3 C (para) CH₂ CH₂ The feed to the reactor is pure m-xylene (A). For a total feed rate of 2 mol/min and the reaction con- ditions below, plot the temperature and the molar flow rates of each species as a function of catalyst weight up to a weight of 100 kg. (a) Plot the concentrations of each of xylenes down the length (i.e.. V) of a PBR. (b) Find the lowest concentration of o-xylene achieved in the reactor. (c) Find the maximum concentration of o-xylene in the reactor. (d) Repeat part (a) for a pure feed of o-xylene (B). What is the maximum concentration of meta xylene and where does it occur in the reactor? (e) Vary some of the system parameters and describe what you learn. (1) What do you believe to be the point of this problem? Additional information All heat capacities are virtually the same at 100 J/mol K. Cr=2 mol/dm³ Kc = 10 exp[4.8(430/T - 1.5)] AHRx10-1800 J/mol o-xylene To 330 K T₂ 500 K AHRx30 =-1100 J/mol o-xylene k₂ = k₁/Kc Ua/p, = 16 J/kg-cat-min - C k₁ = 0.5 exp[2(1-320/T)] dm³/kg-cat min, (T is in K) k3=0.005 exp[[4.6(1-(460/7))]) dm³/kg-cat-min W = 100 kg CH3