Talc is to be filtered at a constant filtration rate under conditions listed below. The pressure drop is expected to rise from 2.0 psi to 100 psi. Generate a table of pressure versus time at 10, 20, 40, 60, 80, and 100 psi. Assume R_m in (19-27) is negligible, but justify your assumption. Obtain aavg by integrating (19-26), which gives α_avg = (1 – s)α'(ΔP)^s [23]. The conditions are: percent solids in slurry 1%, filtrate density = 62.4 lb/ft³, viscosity = 1.49 cP, talc density 167 lb/ft³, filtration rate = 0.000362 ft³/s-ft², cake compressibility factor = α =  8.66 x 10¹⁰(ΔP, psi)^0.506 m/kg, and cake porosity =  ϵ = 0.86(ΔP, psi) ^0.045.