A solution containing 10% by weight of NaOH is concentrated in a single-effect evaporator with a flow rate of 5000 kg/hr. Atmospheric pressure at the evaporation site is 100.5 kPa. The supply current enters the system at 355 K. The solution, showing a boiling point elevation (KNY) of 55 K, boils in the evaporator at 403 K. The saturated steam used as the heating medium is at a gauge pressure of 516.8 kPa. The temperature at which the condensate leaves the heating chamber is 368 K. The overall heat transfer coefficient of the system is given as 2558 W/m2.K, and the specific heat of the overheated solvent vapor is given as 1.926 kJ/kg.K.
a. Calculate the amount of concentrated solution and solvent vapor.
b. Calculate the heating vapor consumption and heat transfer area.
c. How many kPa is the vacuum applied to the system?