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The wastewater solution from a factory containing high levels of salts needs to

ID: 995218 • Letter: T

Question

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 0 047 Mand 0 160 Mat a temperature of 23 degree C? There are limitations to the amount of pressure that can be applied dung reverse osmosis because of the physical nature of the membrane A membrane has been developed that can withstand osmotic pressures. II, of up to 1 57 times 10^5 torr Calculate the maximum molar concentration of a solution that can be purified by reverse osmosis using this membrane at 25 degree C

Explanation / Answer

P = M*RT

P1 = M1*RT

P1 = 0.047 * 0.082*298= 1.148492 atm

P2 = M2*RT

P1 = 0.16* 0.082*298= 3.90976 atm

2.

P = 1.57*10^5 torr = (1.57*10^5)/760 atm = 206.5789

M = P/((RT)

M = 206.5789/(0.082*298) = 8.4538 M