The 10% NaOH solution is fed to the first unit of a three−effect evaporator at a temperature of 300 K with a flow rate of 10 kg/s. The pressure in the third effect is 13.3 kN/m²; however, the NaOH taken from this effect is 40%. The heating temperature of the solution is 4.18 kJ/kg.K. The boiling point increase will not be neglected. The steam is saturated water vapor at a pressure of 205 kN/m² and is fed to the first effect, and the condensate is separated as a liquid. If the heating areas are equal, calculate the areas, temperature differences, and steam consumption.
(U₁ = 5 kW/m².K), (U₂ = 3.2 kW/m².K), (U₃ = 1.4 kW/m².K).