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A food processing facility makes sweetened iced tea by feeding 1.00 kg of water/min along with m; kg of dry tea leaves/min into a brewer.
A food processing facility makes sweetened iced tea by feeding 1.00 kg of water/min along with m; kg of dry tea leaves/min into a brewer. From there, the leaves and water enter a filter that separates m2 kg of wet tea leaves/min from unsweetened tea. A 0.85 mass fraction of water leaves in the wet tea leaf stream along with 90.0% of the original mass of tea leaves. The unsweetened tea proceeds to a mixer where sugar is added. The sweetened tea enters a final filter where me kg of ice/min is added and any undissolved sugar is removed in a slurry that is 75.0% by mass sugar and 25.0% by mass water. This slurry is recycled back to the mixer along with m3 kg of fresh sugar/min. The sweetened iced tea leaving the final filter is 10.0% by mass sugar, 89.0% by mass water (all of the added ice has melted), and 1.0% by mass extracts from the tea leaves. A flow rate of m3 kg of sweetened iced tea/min is desired. If ms is 1.00 kg/min, what are the flow rates of dry tea leaves, fresh sugar, and ice required? m = kg dry tea leaves/min m3 = kg sugar/min mg = kg ice/min
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