P14-8b In a certain chemical plant, a reversible fluid-phase isomerization is carried out over a solid catalyst in a tubular packed-bed reactor. If the reaction is so rapid that mass transfer between the catalyst surface and the bulk fluid is rate-limiting, show that the kinetics are described in terms of the bulk concentrations CA and Co by kp[CA - (1/K)Cp] 1/K + kp/kA B where -r1 = moles of A reacting per unit area catalyst per ka, kB transfer coefficients for A and B K equilibrium constant = = It is desired to double the capacity of the existing plant by processing twice the feed of reactant A while maintaining the same fractional conversion of A to B in the reactor. How much larger a reactor, in terms of catalyst weight, would be required if all other operating variables are held constant? You may use the Thoenes-Kramers correlation for mass transfer coefficients in a packed bed