Laboratory filtrations conducted at constant pressure drop on a slurry of CaCO$3$ in H$2$O gave the data shown in Table below. The slurry has a viscosity of $5\mathrm{.}9\backslash$times $10-4$ kg$/$m$.$s$.$ The filter area was $0\mathrm{.}1$ m$2,$ the mass of solid per unit volume of the filtrate was $26$ kg solid$/$m$3,$ and the temperature was $25\backslash$deg C$.$ The filtration equations obtained were shown in Table below.

a$.$ Evaluate the quantity specific cake resistance $\backslash$alpha for both pressure drop values

b$.$ State the effect of pressure drop on values of $\backslash$alpha $.$