The falling-rate portion of the drying time for a particle of skim milk begins at a critical moisture content of 25%, and the final moisture content is 4%. The air used for drying is 120 °C was heated from ambient air of 20 °C and 40% RH. The particle size at the critical moisture content is 20 micron, and the specific heat of the product solids is 2.0 kJ/kg °C. The mass diffusivity for water vapor within the product is 3.7´10-12 m2/s, and the density of the product particle is 1150 kg/m3.
a. If the equilibrium moisture content for the product is 3.5%, estimate the time for the falling-rate portion of the drying
b. If 5000 m3/min of heated air are needed for product drying, determine the thermal energy needed to heat the air to 120 °C.
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