An evaporator operating at 50 kPa is used to concentrate juice from a solids content of 5% to a solids content of 25% using steam at 120 kPa (which leaves as condensate at 80°C). The initial temperature and flow rate of the feed juice are 15 °C and 5 kg/s. The overall heat transfer coefficient is 3500 W/m2-K and the area available for heat transfer is 25 m2. The feed juice has a boiling point rise of 12 °C and the specific heats of the feed, concentrated product and water are 3500 J/kg-K, 4000 J/kg-K and 4180 J/kg-K respectively. Calculate: a) The steam economy for the evaporator and, b) Heat transfer area.

Introduction to Chemical Engineering Thermodynamics
8th Edition
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Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
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An evaporator operating at 50 kPa is used to concentrate juice from a solids content of 5% to a solids content of 25% using steam at 120 kPa (which leaves as condensate at 80°C). The initial temperature and flow rate of the feed juice are 15 °C and 5 kg/s. The overall heat transfer coefficient is 3500 W/m2-K and the area available for heat transfer is 25 m2. The feed juice has a boiling point rise of 12 °C and the specific heats of the feed, concentrated product and water are 3500 J/kg-K, 4000 J/kg-K and 4180 J/kg-K respectively. Calculate:
a) The steam economy for the evaporator and,
b) Heat transfer area.

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