Question

Note: The following information may or may not be used in solving the problems. Gas constant, R=8.314 kPa L/(mol K) (1-)|150(1-φ)4+1. PgeDpa where is porosity, p is gas density, dP G The Ergun equation: Dp dz p is gas viscosity, G is superficial mass velocity, and D, is particle diameter. 5. (20 pts.) Consider a dehydrogenation of alkane (A B+C) in an inert membrane reactor with catalyst pellets on the feed side. The reactor has an inner diameter of 1 cm. The membrane is permeable to B, but not to A and C. The transport rate across the membrane can be approximated as: R-0.2CB. The bulk density of the catalyst is 1.5 g/cem. The feed is a pure A with a molar flow rate of 10 mol/min. The reaction is carried out in a gas phase at 227 °C and 8.2 atm. At this conditions, the reaction is known to be a reversible elementary reaction with the equilibrium constant (Kc) of 0.05 mol/L. The rate constant of the forward reaction is 1 min (a) Based on mole balances, find three coupled differential equations in terms of molar flow rates (FA, FB, and Fc), reactor volume (V), and other numerical constants. Please provide any constraints and initial conditions if necessary for problem-solving. function of the reactor volume (V) (b) Sketch expected profiles of molar flow rates (FA, Fe, and Fc) : as a

Answer 1

Gisen data eeuation E89 un 150 (1-0) - O df +1.756 G (1-2) x150(1-0) G(1-) 75 egc DP 3 - e Ic Dp 3 Re< (Kone nay Whe n eiuation) keamann signifi cant FOS Ce viscous Vs -G (1-0)*x 150 x U - PLummer eeuation) (B.la Re Re>1000 When +esm signieicant Kinetic - 175 G*(1-0) dP e gc Dpes of FIuidisation inci dent At 0-tr) G-e) dP

teng th of 0d pariosiey Em=mioimom den sity fIuid density of Fiuid