TASK 1: A suspension is divided in two different aliquots containing 24 mL of solvent phase. Each aliquot is filtered under constant pressure conditions using different filtration conditions: slurry A is filtered using a pressure drop of 200 mbar, while slurry B is filtered using a pressure drop of 700 mbar. The diameter of the Nutsche filter is 27 mm. The slurry comprises ethanol (solvent density 0.789 g/cm³ and dynamic viscosity 1.095 cP) and spherical particles. Volume of cake formed by the passage of unit volume of filtrate is equal to 3. Filtration flow rate and time/volume of filtrate versus volume of filtrate removed during filtration for the two slurries are reported in the tables below. Slurry A Filtrate Volume A (mL) Filtrate Volume A (m³) Time A (s) Time/Volume A (s/m³) 0 0 0 15 1.5 x 10-5 22 2.2 x 10-5 24 2.4 x 10-5 Slurry B Filtrate Volume B (mL) Filtrate Volume B (m³) 0 0 12 1.2 x 10-5 20 24 Time/Filtrate volume (s/m³) 2.5E+06 2.0E+06 1.5E+06 1.0E+06 From the filtration of slurries A and B, the graph of time/filtration volume is shown below. For each filtration a linear fit is shown. 5.0E+05 0.0E+00 2 x 10-5 2.4 x 10-5 -Filtration A -Filtration B 0.E+00 10 15 18 Time B (s) Time/Volume B (s/m³) 0 15 34 47 N/A 6.67 x 105 6.82 x 105 7.5 x 105 N/A 1.25 x 106 1.7 x 106 1.96 x 106 CP414 Particle Technology Workshop 7 y = 8.12E+10x + 9.03E+04 1.E-05 2.E-05 Filtrate volume (m³) y = 3.10E+10x + 5.18E+04 1 3.E-05 (a) Calculate the compressibility index, n (-). (b) Identify if the cake is incompressible, compressible or highly compressible, to understand if Darcy's law is valid for this suspension.