As dilution continues, higher and higher pressures are needed to counteract the natural tendency for the water molecules to have a net flow back toward the more concentrated solution. What was the applied pressure at the end of this process if the final concentrations of the solutions were 0.060 M and 0.170 M at a temperature of 23 ∘C? b) There are limitations to the amount of pressure that can be applied during reverse osmosis because of the physical nature of the membrane.  A membrane has been developed that can withstand osmotic pressures, Π, of up to 1.67×105 torr .  Calculate the maximum molar concentration of a solution that can be purified by reverse osmosis using this membrane at 25 ∘C.

Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
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The wastewater solution from a factory containing high levels of salts needs to be diluted before it can be released into the environment. Therefore, two containers of waste solution are separated by a semipermeable membrane and pressure is applied to one container, forcing only water molecules through the membrane and diluting the waste solution in the other container. As dilution continues, higher and higher pressures are needed to counteract the natural tendency for the water molecules to have a net flow back toward the more concentrated solution. What was the applied pressure at the end of this process if the final concentrations of the solutions were 0.060 M and 0.170 M at a temperature of 23 ∘C? b) There are limitations to the amount of pressure that can be applied during reverse osmosis because of the physical nature of the membrane.  A membrane has been developed that can withstand osmotic pressures, Π, of up to 1.67×105 torr .  Calculate the maximum molar concentration of a solution that can be purified by reverse osmosis using this membrane at 25 ∘C.

Osmosis is the movement of solvent molecules, but
not solute molecules, through a semipermeable
membrane. During osmosis, the solvent passes from
the more dilute solution to the more concentrated one.
However, if sufficient pressure is applied, osmosis can
be stopped and, at still higher pressures, it can be
reversed. Osmotic pressure is the pressure required to
stop osmosis, and it is a colligative property, one that
depends on the number of particles dissolved in
solution. The higher the concentration of dissolved
particles, the more pressure that must be exerted to
stop or reverse osmosis.
Seawater can be desalinated to produce drinking
water by reverse osmosis. Also, wastewater with high
salt concentrations can be desalinated before being
released back into the environment.
Transcribed Image Text:Osmosis is the movement of solvent molecules, but not solute molecules, through a semipermeable membrane. During osmosis, the solvent passes from the more dilute solution to the more concentrated one. However, if sufficient pressure is applied, osmosis can be stopped and, at still higher pressures, it can be reversed. Osmotic pressure is the pressure required to stop osmosis, and it is a colligative property, one that depends on the number of particles dissolved in solution. The higher the concentration of dissolved particles, the more pressure that must be exerted to stop or reverse osmosis. Seawater can be desalinated to produce drinking water by reverse osmosis. Also, wastewater with high salt concentrations can be desalinated before being released back into the environment.
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