A triple effect evaporator is evaporating a sugar solution with negligible boiling point rise  (less than 1.00 K, which will be neglected) and containing 4 wt.% solids to 20 wt.% solids.  Saturated steam at 180 kPa abs is being used. The pressure in the vapor space of the third  evaporator is 10 kPa. The feed rate is 25,000 kg/h and the temperature is 300 K. The liquid  heat capacity is Cp = 4.75 – 2.45x, where Cp is in kJ/kg·K and x in wt. fraction of solids.  The heat transfer coefficients are U1 = 3200, U2 = 2700, U3 = 1200 W/m2 ·K. Calculate the  surface area of each effect if they are of the same area, the steam rate, and the steam  economy for the following: a. forward feed b. backward feed c. mixed feed

Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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A triple effect evaporator is evaporating a sugar solution with negligible boiling point rise 
(less than 1.00 K, which will be neglected) and containing 4 wt.% solids to 20 wt.% solids. 
Saturated steam at 180 kPa abs is being used. The pressure in the vapor space of the third 
evaporator is 10 kPa. The feed rate is 25,000 kg/h and the temperature is 300 K. The liquid 
heat capacity is Cp = 4.75 – 2.45x, where Cp is in kJ/kg·K and x in wt. fraction of solids. 
The heat transfer coefficients are U1 = 3200, U2 = 2700, U3 = 1200 W/m2
·K. Calculate the 
surface area of each effect if they are of the same area, the steam rate, and the steam 
economy for the following:
a. forward feed
b. backward feed
c. mixed feed 

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