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A square tube is open to air at atmospheric pressure on the top and capped with a porous membrane on the bottom. The tube cross
A square tube is open to air at atmospheric pressure on the top and capped with a porous membrane
on the bottom. The tube cross section is by The porous membrane contains
vertically oriented cylindrical pores of diameter Surface tension holds a column
of water from falling through the membrane. The contact angle of water with
the tube is The contact angle of water with the membrane pore walls is as shown just
before the water column spills through the membrane. The membrane is thick, over which
there is negligible hydrostatic pressure difference.
a Estimate the vertical capillary force by the tube on the water column.
b Estimate the vertical capillary force by a single membrane pore on the water column.
c Estimate the maximum water column height that the system can hold up
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