Centrifuges are used to separate particles in the range of 0.1 to 100 μm in diameter from a liquid using
centrifugal force. You are looking to add more value to your beer brewing operation by producing yeast extract from your excess yeast slurry. Your first blend the slurry to breakdown the cell wall. You then process the slurry in a centrifuge to sperate the cell wall from the yeast content using a high-speed centrifuge. 1000 L/hr is fed to the centrifuge, the feed contains 250 mg cellwalls/L, and the product stream (supernatant) contains 5wt% cellwalls. Determine the amount of the supernatant discharge per hourand cell walls per hour.Assume that the feed has a density of 1 g/cm3.
a)Draw a diagram of the problem
b)What are all possible material balances and extra equations?
c)Determine the number of independent equations
d)Conduct a degree of freedom analysis
e)Solve problem(you may have to make some assumptions to solve the problem)