Problem 2. Filtration Operation (35 points) In the lab you perform a filtration test using the broth from an antibiotic fermentation. It takes 10 minutes to filter 50mL of broth through a 3cm2 filter with a pressure drop of 5 psi. Neglect resistance due to the filter and assume the cake resistance follows the model: =(P)s A. Determine the size of filter that would be required to filter 500L(1L=1000mL) of the same fermentation broth in 1 hour using a 10 psi pressure drop. In this case, assume the cake compressibility s=0.5 B. Determine the size of filter required for the same conditions in (A) except in this case assume the cake is less compressible with s=0.1