To estimate the pressure needed by an automated syringe to inject fluid medication into a tissue, it is required to measure saturated permeability through the tissue. In an experiment to measure...

To estimate the pressure needed by an automated syringe to inject fluid medication into a tissue, it is required to measure saturated permeability through the tissue. In an experiment to measure permeability of a layer of muscle tissue 15 mm thick, a pressure of 0.6895 x 105 Pa (10 psi) is applied using water over the tissue. The area of tissue over which the water flows is circular, having a diameter of 40 mm. The mass of water that flows through the tissue is collected on the other side and measured using a microbalance to be 0.1 g after 10 minutes. Assume the density of water at the temperature of measurement is 1 g/ cm3 and the viscosity of water is 0.001 Pa • s. Find the intrinsic permeability of the muscle tissue.