Design a cyclone to recover solids from a process gas stream. The anticipated particle size distribution in the inlet gas is given below. The density of the particles is 2500 kg/m³, and the gas is essentially nitrogen at 150°C. The stream volumetric flow-rate is 4000 m³/h, and the operation is at atmospheric pressure. An 80% recovery of the solids is required.

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Particle size (um) Percentage by weight less than 50 90 40 30 20 10 75 65 55 30 5 2 10 4