Example on Mathematical modeling Use the given data to design a single stage RO desalination system by calculating the required design variables Given data Required Design Variables - Plant capacity =86.4m3/ day 1. Feed flow rate, Mf - Plant recovery =40% 2. Brine flow rate, Mb - Feed pressure =80 bar 3. Brine Salinity, Xb - Reject pressure =78 bar 4. Net driving pressure, NDP - Permeate pressure =1 bar 5. Required membrane area, A - Feed Salinity =42,000mg/L 6. Salt transport, Ms (kg/h) - Permeate Salinity =145mg/L 7. Salt permeability, Ks - Water permeability =7.38104 8. Salt rejection, SR\% m3/m2.h.bar 9. Salt passage, SP\% 10. Concentration Factor, CF