A slurry containing 25% by weight of solids is fed into a filter. The filter cake contains 90% solids and the filtrate contains 1% solids. Make a complete material balance around the filter for a slurry feed rate of 2000 kg / hr. For that feed rate, what are the corresponding for the cake and the filtrate?

17.29 An engineered tissue system consists of a slice of cell mass immobilized on a scaffold measuring 5 cm in length and 0.5 cm in thickness. The top face of the tissue scaffold is exposed to water, dissolved oxygen, and organic nutrients maintained at 30 C. The bottom face of the tissue is thermally insulated. At present, the specific oxygen consumption of the tissue mass is 0.5 mmol O₂/cm³cells-hr, and from respiration energetics, the energy released by respiration is 468 J/mmol O₂ consumed. We are interested in knowing the temperature at the bottom face of the tissue next to the insulated boundary. If this temperature remains below 37 C, the tissue will not die. The thermal conductivity of the tissue scaffold is k = 0.6 W/m. K. a. Using the information given predict the temperature profile within the tissue slab the slab. b. C. What is the heat generated per unit volume of tissue? Estimate the temperature at x =L (the insulated boundary).

Provide an example of a mass transfer problem in which both diffusion and convection are important.

A tunnel dryer is to be designed to dry, by crossflow with air, a wet solid that will be placed in trays measuring 1.5 m longx1.2 m widex25 cm deep. Drying will be from both sides. The initial total moisture content is 116% (dry basis) and the desired final average moisture content is 10% (dry basis). Air is at 90oF and 1 atm with a relative humidity of 15%. The laboratory data below were obtained under the same conditions: Determine the time needed to dry the solid from 110% to 10% moisture content (dry basis) if the air conditions are changed to 125oF and 20% relative humidity. Assume the critical moisture content will not change and that the drying rate is proportional to the difference between dry- and wet-bulb air temperatures.