A triple effect forward feed evaporator is being used to evaporate a sugar solution containing 5 wt % solids to a concentrated solution of 80 %. The boiling point rise of the solutions (independent of pressure) can be estimated from BPR °C = 1.78x + 6.22x^2, where x is wt fraction of sugar in solution. Saturated steam at 205.5 kPa (121.1°C saturation temperature) is being used. The pressure in the vapor space of the third effect is 13.4 kPa. The feed rate is 10,000 kg/h at 26.7°C. The heat capacity of the liquid solutions is 4.19 - 3.52x, kJ/kg K. The heat of solution is considered to be negligible. The coefficients of heat transfer have been estimated as U1 = 3123, U2 = 1987, and U3 = 1136 W/m^2-K. if each effect has the same surface area, calculate the area, the steam rate used and the steam economy.
I really need help please don't reject. Please help me understand how to compute this in detail. especially on how to interpolate. thank you so much.
Note: When areas are not close, provide another trial. If areas are almost equal, therefore new assumptions are valid.
A triple effect forward feed evaporator is being used to evaporate a sugar solution containing 5 wt % solids to a concentrated solution of 80 %. The boiling point rise of the solutions (independent of pressure) can be estimated from BPR °C = 1.78x + 6.22x^2, where x is wt fraction of sugar in solution. Saturated steam at 205.5 kPa (121.1°C saturation temperature) is being used. The pressure in the vapor space of the third effect is 13.4 kPa. The feed rate is 10,000 kg/h at 26.7°C. The heat capacity of the liquid solutions is 4.19 - 3.52x, kJ/kg K. The heat of solution is considered to be negligible. The coefficients of heat transfer have been estimated as U1 = 3123, U2 = 1987, and U3 = 1136 W/m^2-K. if each effect has the same surface area, calculate the area, the steam rate used and the steam economy.
![](/static/compass_v2/shared-icons/check-mark.png)
Step by step
Solved in 4 steps with 10 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
![Introduction to Chemical Engineering Thermodynami…](https://www.bartleby.com/isbn_cover_images/9781259696527/9781259696527_smallCoverImage.gif)
![Elementary Principles of Chemical Processes, Bind…](https://www.bartleby.com/isbn_cover_images/9781118431221/9781118431221_smallCoverImage.gif)
![Elements of Chemical Reaction Engineering (5th Ed…](https://www.bartleby.com/isbn_cover_images/9780133887518/9780133887518_smallCoverImage.gif)
![Process Dynamics and Control, 4e](https://www.bartleby.com/isbn_cover_images/9781119285915/9781119285915_smallCoverImage.gif)
![Industrial Plastics: Theory and Applications](https://www.bartleby.com/isbn_cover_images/9781285061238/9781285061238_smallCoverImage.gif)
![Unit Operations of Chemical Engineering](https://www.bartleby.com/isbn_cover_images/9780072848236/9780072848236_smallCoverImage.gif)