The autocatalytic reaction a + b rightarrow 2b is carried out isothermally in a moving bed reactor. the reaction is elementary, follows separable catalyst decay kinetics, and the decay law is zero order but first-order in concentration of b. write the differential equations and all supporting equations that you would need to solve in polymath including initial and final conditions. additional information: c_a0 = 0.1 mol/dm^3 c_b0 = 0.01 mol/dm^3 k = 350 dm^6/mol middot kg cat middot min k_d = 6.0 dm^3/min middot mol u_s = 8 kg/min f_a0 = 20 mol/min w = 24 kg