Question

The principle of filtration is based on the so-called Hagen-Poiseuille Equation (1c). (1c) 4 ao! where V = the volume of filtrate collected (m) t = filtration time (s) A = filter area (m²) P = total pressure across the system (Pa) m = weight of cake per unit volume of filtrate (kg m u = filtrate viscosity (Pas) a = cake-specific resistance r=resistance of the filter ) In a typical filtration experiment, a plot of t/V vs V is given in Figure 1c. ooo t/V (s cm) 1000 2000 5000 6000 7000 3000 4000 V(cm) Figure 1c. 1) What are the units for a and [4 Marks] I) Based on Equation (1a), show the mathematical procedures to obtain a relationship between t/V and V.