As part of the process of producing sugar crystals from sugar cane, raw sugar cane juice is sent to a series of evaporators to remove water. The sugar cane juice, which is 85wt% water, is fed to the first evaporator at 10,000 lb/h. The concentrated juice out of the last evaporator is 40wt% water. First examine a system with two evaporators. Calculate the water evaporated each evaporator, assuming that the fraction of water in the feed removed in each evaporator is the same. Then, develop a linear model of a flow sheet with N evaporators, assuming that the fractional recovery of water fr,w is each evaporator is the same and that the concentrated juice coming out of the last evaporator still contains 40wt% water.