Consider a cylindrical pipe packed with a homogeneous porous medium of porosity = 0.35. The pipe has a length = 2 m and an inner diameter = 0.1 m. Water at 20 flows through the pipe under a pressure drop of = 50 kPa. The volumetric flow rate () is found to be 120 mLmin. Complete the following tasks: (a) [5 Points] Calculate the superficial velocity ( 0) of the water in the pipe. (b) [5 Points] Determine the average velocity () of the water in the pipe. Hint: = 0. (c) [5 Points] Determine the permeability () of the porous medium. Hint: Use Darcy's Law