Please solve these two questions with proper explanation.

2. A disk centrifuge is used to separate lysed E. coli bacterial cells. The plant centrifuge has a bowl dimeter of 40cm and a maximum speed of 6,250rpm. The value of is 45,R1=13cm,R0=32cm, and there are 150 disks. Samples tested in a laboratory centrifuge took a minimum of 15 minutes to clarify the same cell suspension at 10,000 rpm. In samples used for the lab tests, the top of the culture in the test tubes was 32mm from the center of the axis of rotation, and the top of the packed solids was 79mm from the same center of rotation. Determine the maximum flow rate (Q) that can be processed using the disk centrifuge for a suspension of the same kind of cells. (Hint: Use "sigma analysis".) In a two-stage countercurrent extraction of a pharmaceutical product, what is the relationship between the feed concentration and the final raffinate concentration in terms of the extraction factor E if both stages are at equilibrium? For a partition coefficient K of 5.0 and a solvent-to-feed ratio ( S/F) of 0.5 , what will be the ratio of the raffinate concentration to the feed concentration