Evaporation in Double-Effect Reverse-Feed Evaporators. A feed containing 2 wt % dissolved organic solids in water is fed to two double-effect evaporators with reverse feed. The feed enters at 100°F and is concentrated to 25% solids. The boiling-point rise can be considered negligible, as can the heat of solution. Each evaporator has a 1000-ft ² surface area, and the heat-transfer coefficients are U₁ = 500 and U₂ = 700 btu/h · ft ² · °F. The feed enters evaporator number 2 and steam at 100 psia is fed to evaporator number 1. The pressure in the vapor space of evaporator number 2 is 0.98 psia. Assume that the heat capacity of all liquid solutions is that of liquid water. Calculate the feed rate F and the product rate L₁ of a solution containing 25% solids. (Hint: Assume a feed rate of, say, F = 1000 lbm/h and a value of T₁. Calculate the area and T₁. Then, calculate the actual feed rate by multiplying 1000 by 1000/calculated area.)