please show work :) In reverse osmosis, water flows out of a salt solution until

Question

please show work :)

In reverse osmosis, water flows out of a salt solution until the osmotic pressure of the solution equals the applied pressure. If a pressure of 63.0 bar is applied to seawater, what will be the final concentration of the seawater at 20 °C when reverse osmosis stops?

m=

Assuming that seawater has a total ion concentration (a.k.a colligative molarity) of 1.10 Mc, calculate how many liters of seawater are needed to produce 16.1 L of fresh water at 20 °C with an applied pressure of 63.0 bar.

L=

Explanation / Answer

osmotic pressure = 63 bar = 63 X 0.987 = 62.18 atm

T = 20 + 273 = 293 K

osmotic pressure = C S T

62.18 = C x 0.0821 x 293

C = 2.58 M

concentration of sea water = 2.58 atm

2)

C2 = 2.58 M

C1 = 1.10 M

for 1 L sea water

1.10 = 2.58 (1-V)

V = 0.574 L

fresh water = 16.1 L

volume of seawater = 16.1 / 0.574

                                = 28.1 L

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