a) Calculate the microbial kinetic parameters Y, kd, Umax and Ks. [Ans: Y = 0.593 mg cells/mg substrate, kd= 0.052 d-¹, Hmax = 4.46 d¹, Ks = 49.5 mg/L] b) A full-scale single-stage wastewater treatment system without recycle is operated at 20 °C with a hydraulic retention time of 1.5 days and with the same kinetic constants obtained in part (a). Calculate and tabulate the concentrations of substrate (S) and sludge (X) as the temperature decreases in 4 °C steps from 20 °C to 8 °C. Assume only µmax is temperature dependent. Ans:

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
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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2. [Single-stage wastewater treatment, estimation of microbial kinetic parameters].
A lab-scale single-stage wastewater treatment system without recycle operates at 20 °C under
steady state conditions. Experiments carried out at different hydraulic retention times produced
the following data:
Hydraulic retention time, 0 (days) Substrate concentration, S (mg/l)|Cell/sludge concentration, X (mg/l)
42.0
120
16.0
132
8.5
133
7.5
130
0.5
1.0
1.5
2.0
The substrate concentration in the incoming/inlet wastewater stream is 250 mg/L.
a) Calculate the microbial kinetic parameters Y, kd, μmax and Ks.
[Ans: Y = 0.593 mg cells/mg substrate, kd≈ 0.052 d-¹, Hmax = 4.46 d-¹, Ks = 49.5 mg/L]
b) A full-scale single-stage wastewater treatment system without recycle is operated at 20 °C with
a hydraulic retention time of 1.5 days and with the same kinetic constants obtained in part (a).
Calculate and tabulate the concentrations of substrate (S) and sludge (X) as the temperature
decreases in 4 °C steps from 20 °C to 8 °C. Assume only µmax is temperature dependent.
Ans:
T (°C)
S (mg/L)
X (mg/L)
20
16
12
9.51
13.3
18.9
132 130 127
8
28.2
122
Transcribed Image Text:2. [Single-stage wastewater treatment, estimation of microbial kinetic parameters]. A lab-scale single-stage wastewater treatment system without recycle operates at 20 °C under steady state conditions. Experiments carried out at different hydraulic retention times produced the following data: Hydraulic retention time, 0 (days) Substrate concentration, S (mg/l)|Cell/sludge concentration, X (mg/l) 42.0 120 16.0 132 8.5 133 7.5 130 0.5 1.0 1.5 2.0 The substrate concentration in the incoming/inlet wastewater stream is 250 mg/L. a) Calculate the microbial kinetic parameters Y, kd, μmax and Ks. [Ans: Y = 0.593 mg cells/mg substrate, kd≈ 0.052 d-¹, Hmax = 4.46 d-¹, Ks = 49.5 mg/L] b) A full-scale single-stage wastewater treatment system without recycle is operated at 20 °C with a hydraulic retention time of 1.5 days and with the same kinetic constants obtained in part (a). Calculate and tabulate the concentrations of substrate (S) and sludge (X) as the temperature decreases in 4 °C steps from 20 °C to 8 °C. Assume only µmax is temperature dependent. Ans: T (°C) S (mg/L) X (mg/L) 20 16 12 9.51 13.3 18.9 132 130 127 8 28.2 122
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