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Exercises Technology for Circular Economy | Ghent University | 2025/26

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Exercise solutions for Technology for the Circular Economy course at Universiteit Gent, Master of Business Engineering (Data Analytics & Operations Management). Covers all exercises from the slides and the course notes. Formularium with all relevant formulas & standard values is included.

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Technology : Exercises
Part I :
Policy
2 Concepts a
terminology
1


S11


Given : It =
250 000i .
e
.; Whprod = 100L i.e xo ; .




bCOD =
500mg L
; V 10 000m=




A Lond J
·
Wastewater flow :
Q =
WWpeod .
XIE = 100L x 250000 i . e .




i .
2 .
xd

=
25x18"L = 25 000 m3
O d

Load J QXbCOD 25
000m X 05l8 12500
·
: = = =




B Volumetric loading rate Bu
Bu 25
- 12500kg1000 m
·
= = =
1 ,

M3x@


2

S16 GiveniP =
1 MW =
1x10W ; time =
250d ; 1kWh =
3,
61103)
Energy E
1x10"W
E Pxtime 250d
x864002
9 , 16 Mo
3
· = = + =




16x1831X1 HWN 600O
=> E =
2, =




1 2
. P .
1

,Part : Water

1 Natural purification of surface water

&
S20
-




Guien :
It =
100000 i C .




.; Qu =
20 000 M3 d ; Tw 25 %; =




BOD5, W
30MGL ; DOW
Omg L ; QR 300 000 M3 d;
= = =




30 °;
10 MGL
-




Vr =
0 , 25 MS ; Tr = BODs , R =
;
; Up
&°
DOR 4, 5 0 , 23 or ; Kr 345 d
mg L 0
= = =
,




A Location of maximal oxygen duficit X
·
TA =
QRXTr + Qw x Tw =
300000 x 30 + 20000X25 =
29 , 7
QR + Qu 300 000 + 20008

Kp20
7 20
1 , 04725
TA-20
-




Kn 0, 25 d
,

1 , 04 0 . 359
·
= x = x =



* Ta 20 29, 7 -

28
0 , 315 X 1 , 020 d
=



·


Kr =
Kr x 1 , 020 = = 0, 418
DOA QRXDOR QuxDOw 300000 x 4 , 5 + 20000X0 4 , 22
m
·
=
+ = =




QR + Qu 300 000 + 20008

·

DOsat =
14 , 65 -




Q41 TA 99x183xTA 7 781185x +
+7,
*
-




,
3




041x29 7 + 7 , 994183x29,72 7 781829 73
48 mg
=
14 , 65 - -
=
7
, , , ,




·

Da =
Dosa -



Don = 7 , 48 -

4 ,
22 =
3 26 ,



CBODR 14 , 6
BODsir
12 mg MG.
·
= X 1 , 46 =
X 1 , 46 =




CBODW BOD5 , W + 1 , 46 43 , 8
30mg 46
·


my
=
x1
= =

,
L


·
CBODA =
QRX CBODR + Qw XcBODw
QR + Qu

300000 x 14
, 6 + 28000x43 , % 16 43 Mg
= =

,

300 000 + 20 ord L


3.
1 P L
.

, tc Esmax
&n [kr x1 kn kn
xDA]
·
= = 1 x - -




KR-KD KD Ka bCODA


(n[0418 0 , 418 0 ,
359x39] 20
- x x 1 =
-
= -




0, 418 0
, 359 0 , 359
-


, 359
0

Xc (c 2 , 01 d 025M
Vi
864002 43480M
·
= x = x x =



3
=
43 , 4 km


B Minimal dissolved concentration
oxygen Domin
·
Dc =
Dmax = KD x Laxe-Koxto
KR
-



. 359x2 1 01
0
0 , 359 16 , 43x2 6 86
mg
= =
x
,

0 , 418

6 , 86
Domin DOsat-Dmax 7 48 0 . 62
mg/L
·
= = - =
,




C problem ?
=> Yes : Do 1 , 5
mg/L is detrimental for aquatic life
⑰
S30
-




EXAM
-




Given : Qu 50m3/h ; COD
°


60000mg/L ; fb 0 . 87 ; Tw 20 C
= = = =


,

0 , 5 km/h QR 1036800 M3/d
Dow
Omg/L ; Vi ;
=

;
= =




°

Tr =
10 C ; CBODR =


Omg/L ;
25
Dor =
11 ,
27 mg/L ;
K =
0 , 804/d ; KD =
0, 304/d



MaximumOxygenPictAm m
A


h d O


3. 1

p .
3

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