Step by step solution needed

The possibility of setting up a plant to concentrate fruit juices is being studied. To do this, it is intended to use a reverse osmosis. The reverse osmosis system will consist of two stages with recirculation of concentrate. It is known that, when 18,000kg/h of clarified peach juice of 11.5 Brix are processed, 8950kg/h of juice whose soluble solids content is 23Br rix are obtained. The permeability of the osmotic membrane to water is 0.0117 mol/(m2satm). The osmotic unit operates at 50C, under 30atm of pressure. The effects of the concentration polarization can be considered negligible at these working conditions. Calculate: (a) mass flow rate and concentration of the final permeate stream. (b) the value of the membrane permeability to the soluble solids transport. (c) the concentration of the recirculation stream and the permeate stream that leaves the first stage. (d) the surface of osmotic membrane needed in each step. Notes: the calculation of the osmotic pressure assumes that the equation of van't Hoff can be applied and that the soluble solids of the juice are mainly sucrose (C12H22O1,PM=342g/mol, osmosis constant =1). At 50C, the density of the clarified peach juice varies with the soluble solids content according to the expression: - for C>10, where C is given in Brix. =0.991+3.5103C+2.23105C2g/cm3 - For C