A feed consisting of 30% of 50-μ radius particles, 40% of 100-μ radius particles, and 30% of 200-μ radius particles with a rate of 1000 g solids/min is to be reacted in a fluidized bed (containing 10 kg solids) steady-state flow reactor. A fluidizing reactant is in the gas phase, and the time required for complete conversion is 5, 10, and 20 min for the three sizes of feed at operating conditions. The solids are hard and unchanged in size and weight during the reaction. Without a cyclone separator, the solids are entrained by the fluidizing gas. The elutriation velocity constant for the operating conditions and bed height is estimated to be k = (500 μ²/min)R², where R is the particle radius in microns. Calculate the conversion with chemical reaction control and the compositions of all streams (Underflow, Carryover, and fluidized bed).