Batch Filtration with Change in Pressure In a filtration of suspended cells under full vacuum using a 20 cm Bchner funnel, you collect data for the volume of filtrate as a function of time (see Table P4.2). The concentration of cells was 100 g/liter (mass of dry cake solids per volume of filtrate), and the viscosity of the filtrate was 1.0 cp. TABLE P4.2 Time (min) 0 20 30 40 50 60 70 Volume filtered (liters) 0 4 5 6.5 7 7.5 7.8 (a) What is the resistance of the filter medium? (b) What is the specific resistance of the cake layer? (c) Being disappointed in the amount of time required, you decide to give the vacuum filter a boost by pressurizing the funnel to 1 atm gage pressure. The result is the same. Concerned that you may have done the wrong thing, you then remove the funnel pressure and reduce the vacuum in the flask to 0.5 atm. The result is the same. Determine the dependence of the specific resistance of the cake layer as a function of the pressure drop. Comment on what is happening in the filtration. (d) What is the most effective change you can make to decrease the time required to filter a given volume?