An increase in pressure inside
the tube increases the escaping tendency
of water molecules from within the tube, since their escape
through the membrane lowers the pressure. Water initially
flows into the tube because the escaping tendency of H2O
molecules of the solution inside is less than that of pure
water outside. This inflow of water builds up a
hydrostatic head of pressure in the tube, which in
turn raises the escaping tendency
of H2O molecules within the tube. When the pressure
is high enough, inward flow is matched by outward flow, and
a new equilibrium results. This
equilibrium
pressure is known as osmotic
pressure. The more solute molecules or ions in solution,
the higher the osmotic pressure must be to block the inward
flow of water molecules.
As before, the proper approach to the problem is to set
up expressions for the way in which molar free energy or escaping
tendency of water molecules depends on concentration and
pressure in a solution, and find the conditions under which
these two opposing effects exactly cancel. The result for
dilute solutions is that the osmotic pressure necessary to
balance flow across a membrane is related to the molarity
of the solute particles on the side of the membrane to which
pressure must be applied:
CA= molarity of A = moles
of A per litre of solution
P = CART = osmotic
pressure
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