Seawater at 100 kPa, 20°C, and a salt concentration of 3.5% by weight is pumped into a well-mixed chamber equipped with a membrane permeable to water only. The salt-free water leaves the system at...

Seawater at 100 kPa, 20°C, and a salt concentration of 3.5% by weight is pumped into a well-mixed chamber equipped with a membrane permeable to water only. The salt-free water leaves the system at atmospheric pressure while the concentrated brine passes through a turbine from which it exits at atmospheric pressure. Assume the adiabatic effi ciencies of the pump and turbine to be 0.78 and 0.75, respectively. a. Draw the system schematically. b. Find the pressure in the chamber, the pump work, and the turbine work per unit product as functions of the ratio of the recovery factor. c. At what recovery factor is the net work input per unit desalted water minimal?