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Your company is interested in using a dead-end filtration system for a cheese suspension in water. You first conducted a test run on a

 

Your company is interested in using a dead-end filtration system for a cheese suspension in water. You first conducted a test run on a smaller vacuum filtration system. You have collected the following data on a batch filtration process of the protein suspension. 40 Time(second) Volume(L) 10 0.6 20 0.78 30 0.95 1.1 The data were collected over a filter size of 100cm and the concentration of protein crystal in the suspension is 5g/L. After the initial test run on the smaller filter (100 cm), you want to scale up the filtration system to a 1.5m2 filter. How long will it take to filter 5000L of the suspension over the 1.5m filtration system? Assume the viscosity of the suspension is 1.5 centipoise, the pressure drop for the large and small systems are the same, and the flow resistance of the filter (rm) is negligible.

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