Assuming that seawater at 20°C is a 1.1 Mc solution of NaCl (aq), calculate how many liters of seawater are required to prduce 15 liters of freshwater at 20°C with an applied pressure of 75 bar.
Π=RTMc, so Mc=(75 bar)/ [(.08314 L bar K-1 mol-1)*293 K], which simplifies to 3.07882 Mc.
I need to know how many liters of water would have to be removed from seawater in order to produce that level of concentration, so Mc1V1=Mc2V2, where Mc1 is 1.1 and Mc2 is 3.07882. For convenience, I'm going to make V2=1, so that I will know how much seawater produces one liter of fresh water. V1=2.7989 L.
I need 15 liters of fresh water, so I multipied that value by 15 to get 42 L; however, the book lists the correct answer as being 23 L. Where did I go wrong?