The irreversible catalytic isomerization a rightarrow b is to be carried out in fluidized bed reactor. it is desired to process 7500 liters per hour of feed stock (at 100 degree c) containing 50% a and 50% inerts and to achieve 90% conversion. the reaction is first order in a. the feed is considered to have the same physical properties as air. additional information: catalyst particle diameter: 0.1 mm particle density: 1.8 g/cc diffusivity of reactant: 0.3 cm^2/s k_cat: 4 s^-1 assume psi = 0.6 (a) what is the minimum fluidization velocity? (b) what is the bed porosity at the minimum fluidization velocity u_m? (c) if you are to operate at 5 times u_m, what should your bed diameter be? (d) what is the entrainment velocity for this particle size? (e) what is the minimum bubble diameter? (f) what is the maximum bubble diameter? (g) what is the bubble velocity? (h) what is the cloud diameter? (i) what is the fraction of the bed occupied by the bubble? (j) what is the fraction of bed occupied by the wake? (k) what is the velocity of the solids flowing downward? (l) what is the velocity of rise of the gas in the emulsion phase? (m) use the balances on emulsion and cloud phases to eliminate c_ac and c_ae in order to show that the balance on the bubble phase can be written as - dc_ab/dt = k_cat k_r c_ab (n) calculate k_bc (o) calculate k_ce (p) calculate gamma_c and gamma_e (q) calculate k_r (r) using the fact that h = tu_b calculate the bed height to achieve 90% conversion of a. (s) calculate the corresponding mass of catalyst. (t) calculate the bubble diameter half way up the reactor and compare this value with your estimate of d_b. do you need to redo your calculations?