Consider a composite membrane that is being used to filter plasma from blood. plasma has a

viscosity of 1.2 cp. the composite membrane consists of a microporous sponge-like material

that provides structural support. this membrane is 25 μm thick and has pores that are 2 μm

in diameter. these pores are also tortuous and have a tortuosity (i. e., τ) of 1.67. the porosity

of this membrane (i. e., ap/s) is also equal to 0.60. attached to this microporous membrane

is a thin permselective skin 3.23 μm thick that has a nmwco of 1000. the pores in this

membrane skin are therefore about 0.0015 μm in diameter. the tortuosity of the pores in the

membrane skin is also equal to 1.67, and the porosity of the membrane skin is equal to 0.60.

use the formula found in problem 3.13 to predict the overall hydraulic conductance for this

composite membrane. find the total filtration flow rate (ml h−1) across this composite membrane

assuming the total surface area of the membrane is 1 m2 and that the overall effective

pressure drop across the composite membrane is 160 mmhg.