26.27 A biofilm reactor with a well-mixed liquid phase shown below will be used to treat wastewater contaminated with trichloroethylene (TCE) at a concentration 0.25 mg/L (1.9 mmole/m³, MTCE 131.4 g/gmole). The available sur- face area of the biofilm in the reactor is 800 m², and the desired outlet concentration of TCE is 0.05 mg/L (0.05 g/m³). It can be assumed that in a well-mixed, continuous- ow reactor at steady state, the concentration of the solute of the liquid phase of inside the reactor is equal to the concen- tration of the solute in the liquid ow exiting the reactor. It may also be assumed that the TCE degradation in the biofilm, which of 8 = 100 µm thickness, proceeds by homogeneous first- order reaction kinetics. = a. What volumetric ow rate of wastewater is allowed to enter the reactor? The temperature of the process is constant at 20°C. b. What is the concentration of TCE in the biofilm at the point where the biofilm is attached to the surface? What fraction of 100 µm thickness of the biofilm is utilized? Potentially useful data*: KTCE = 4.31 s¯¹ (first-order rate constant for TCE in biofilm); DTCE-biofilm = 9.03 × 10-¹0 m²/s (diffusion coefficient TCE in biofilm). *J.P. Arcangeli, E. Arvin, Environ. Sci. Technol., 31, 3044 (1997). Waste water feed steam CAi = 0.25 g TCE/m³ V = ? Biofilm Well-mixed contactor Treated waste water CAo = 0.05 g TCE/m³

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
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Chapter1: Introduction
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Problem statement is asking for volumetric flowrate*

26.27 A biofilm reactor with a well-mixed liquid phase
shown below will be used to treat wastewater contaminated
with trichloroethylene (TCE) at a concentration 0.25 mg/L
(1.9 mmole/m³, MTCE = 131.4 g/gmole). The available sur-
face area of the biofilm in the reactor is 800 m², and the
desired outlet concentration of TCE is 0.05 mg/L (0.05 g/m³).
It can be assumed that in a well-mixed, continuous- ow
reactor at steady state, the concentration of the solute of
the liquid phase of inside the reactor is equal to the concen-
tration of the solute in the liquid ow exiting the reactor. It
may also be assumed that the TCE degradation in the biofilm,
which of 8 = 100 µm thickness, proceeds by homogeneous first-
order reaction kinetics.
a. What volumetric ow rate of wastewater is allowed to
enter the reactor? The temperature of the process is
constant at 20°C.
b. What is the concentration of TCE in the biofilm at the point
where the biofilm is attached to the surface? What fraction of
100 μm thickness of the biofilm is utilized?
Potentially useful data*: KTCE = 4.31 s ¹ (first-order rate
constant for TCE in biofilm); DTCE-biofilm = 9.03 × 10-¹0 m²/s
(diffusion coefficient TCE in biofilm).
*J.P. Arcangeli, E. Arvin, Environ. Sci. Technol., 31, 3044
(1997).
Waste water
feed steam
CAi = 0.25 g TCE/m³
V = ?
Biofilm
4-8
Well-mixed
contactor
Treated
waste water
CAO = 0.05 g TCE/m³
Transcribed Image Text:26.27 A biofilm reactor with a well-mixed liquid phase shown below will be used to treat wastewater contaminated with trichloroethylene (TCE) at a concentration 0.25 mg/L (1.9 mmole/m³, MTCE = 131.4 g/gmole). The available sur- face area of the biofilm in the reactor is 800 m², and the desired outlet concentration of TCE is 0.05 mg/L (0.05 g/m³). It can be assumed that in a well-mixed, continuous- ow reactor at steady state, the concentration of the solute of the liquid phase of inside the reactor is equal to the concen- tration of the solute in the liquid ow exiting the reactor. It may also be assumed that the TCE degradation in the biofilm, which of 8 = 100 µm thickness, proceeds by homogeneous first- order reaction kinetics. a. What volumetric ow rate of wastewater is allowed to enter the reactor? The temperature of the process is constant at 20°C. b. What is the concentration of TCE in the biofilm at the point where the biofilm is attached to the surface? What fraction of 100 μm thickness of the biofilm is utilized? Potentially useful data*: KTCE = 4.31 s ¹ (first-order rate constant for TCE in biofilm); DTCE-biofilm = 9.03 × 10-¹0 m²/s (diffusion coefficient TCE in biofilm). *J.P. Arcangeli, E. Arvin, Environ. Sci. Technol., 31, 3044 (1997). Waste water feed steam CAi = 0.25 g TCE/m³ V = ? Biofilm 4-8 Well-mixed contactor Treated waste water CAO = 0.05 g TCE/m³
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