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Question: wants to determine what size particles to produce in order...

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wants to determine what size particles to produce in order to form 5 cubic meters of powder the fastest. Liquid copper particles are dropped at 1300 °C into a water bath at 25 °C. The bath has a refrigeration system that can only remove a maximum of 500 W/min. What size particles (solid) should be used and at what volumetric rate should the particles be fed to the bath such that the temperature of the bath does not change from 25 °C? Show all relevant plots and data to prove which powder size is the fastest and the respective feed rate Hint: Take into account the change in density of copper. Density 8970 kg m377J kg K 8490 ka m-3 Data for Cu Solid Liquid Freezing Point Specific Heat 1 502 /kaK-1 Thermal Conductivity 346 Wm-K-1 311 W m-K-1 Data for Water Quench 1358K Heat of Fusion 2.07x105I kg-1 Temp Range 1450-920k 920-360K Heat Transfer Coefficient 450 W m-2K-1 2270 W m 2K-There is a typo in problem 2. The refrigeration system should only be able to remove 500 J/min, (the problem says W/min which is incorrect). Also, assume the heat transfer coefficient of the water is 450 [W/(m*2*K)] above 1450 K and 2270 [W/(m2*K)] below 360 K.

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